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Tuyển tập 20 đề ôn tập môn Toán chinh phục điểm cao trong kỳ thi THPT Quốc gia 2023

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  1. LỚP TOÁN THẦY CƯ-TP HUẾ NEW TĂNG TỐC VỀ ĐÍCH CHÚNG TÔI SẼ CHIẾN THẮNG ẤN PHẨM ĐẶC SẮC CỦA TOANTHAYCU.COM
  2.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  CHINH PHỤC ĐIỂM 8-9-10 HƯỚNG ĐẾN KÌ THI TỐT NGHIỆP THPT QUỐC GIA 2023 ĐỀ 01 Thời gian làm bài: 90 phút, không kể thời gian phát đề Câu 41 Câu 1: Có bao nhiêu số nguyên x thỏa mãn  log 5 x  log 5 x 3  2  6561  3x  0 là 2 Ⓐ 8. Ⓑ 5. Ⓒ 6. Ⓓ 7.  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 42 Câu 2: Cho hình nón có thiết diện qua đỉnh S là tam giác đều có cạnh bằng 16 và tạo với mặt đáy một góc 600 . Thể tích của khối nón đó bằng: Ⓐ 16 7 . Ⓑ 448 . Ⓒ 1344 . Ⓓ 192 7 .  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 1
  3.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 43 Câu 3: x 1 y  3 z  2 Trong không gian Oxyz , cho điểm M  4; 2;3 và đường thẳng d :   . Đường GV: Trần Đình Cư – 0834332133 1 1 1 thẳng  đi qua điểm M , cắt trục Oy và vuông góc với đường thẳng d có phương trình là  x  4  4t  x  4  4t  x  4  4t  x  4  4t     Ⓐ y  2  t  Ⓑ  y  2  t  Ⓒ  y  2  t  Ⓓ  y  2  t   z  3  3t  z  3  3t  z  3  3t  z  3  3t      Lời giải .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 2
  4.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 44 Câu 4: Cho hàm số y  f  x   ax3  bx 2  cx  d  a, b, c, d    có đồ thị như hình vẽ bên dưới. Số nghiệm thực phân biệt của phương trình f   f  x   3  0 là Ⓐ 6. Ⓑ 3. Ⓒ 5. Ⓓ 4.  Lời giải .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 3
  5.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  Câu 45 Câu 5: Trong không gian Oxyz , cho mặt cầu  S  có phương trình x 2  y 2  z 2  2 x  4 y  2 z  4  0 và x2 y z đường thẳng d :   . Hai mặt phẳng  P  ,  Q  chứa đường thẳng d và tiếp xúc với mặt 2 1 4 cầu  S  lần lượt tại M , N . Gọi H  a; b; c  là trung điểm của MN . Khi đó tổng a  b  c bằng 10 10 14 14 Ⓐ  . Ⓑ . Ⓒ . Ⓓ . 3 3 3 3  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 46 Câu 6: 1 Cho hàm số bậc ba y  f  x   ax 3  bx 2  x  c và đường thẳng y  g  x  có đồ thị như hình vẽ 3 sau: Bản Word lời giải chi tiết lh zalo: 083433213 4
  6.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  Biết AB  5 . Diện tích hình phẳng giới hạn bởi đồ thị y  f  x  , trục hoành và 2 đường thẳng x  1, x  2 bằng 5 13 17 19 Ⓐ  Ⓑ  Ⓒ  Ⓓ  12 12 12 12  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 47 Câu 7: 2 1 Cho số phức z  a  bi,  a, b    thỏa mãn 4  z  z   40i  i  z  z  1 và z   3i đạt giá trị 2 nhỏ nhất. Tính S  3b  8a Ⓐ S  19  Ⓑ S  23  Ⓒ S  7 Ⓓ S  11   Lời giải .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 5
  7.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 48 Câu 8: Cho hàm số y  f  x  có đạo hàm f   x   4 x3  16 x và f  0   3 . Gọi k là số điểm cực tiểu của 2 hàm số g  x    f  x 2    1 . Tính giá trị biểu thức T  2k 2  k  5 .   Ⓐ T  33 . Ⓑ T  11 . Ⓒ T  20 . Ⓓ T  96 .  Lời giải GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 6
  8.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  Câu 49 Câu 9: log3 x 11 y log3 x Có bao nhiêu số nguyên y   2022; 2022 để bất phương trình  3x  10  310 có nghiệm đúng với mọi số thực x  1;9  . Ⓐ 4044 . Ⓑ 4026 . Ⓒ 2022 . Ⓓ 2023.  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 50 Câu 10: Có bao nhiêu giá trị nguyên của tham số m số hàm số f  x   x 3  3 x 2  mx  10 đồng biến trên khoảng  1;1 ? Ⓐ 3. Ⓑ 4. Ⓒ 5. Ⓓ 6.  Lời giải .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 7
  9.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ HẾT GV: Trần Đình Cư – 0834332133 Bản Word lời giải chi tiết lh zalo: 083433213 8
  10.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  CHINH PHỤC ĐIỂM 8-9-10 HƯỚNG ĐẾN KÌ THI TỐT NGHIỆP THPT QUỐC GIA 2023 ĐỀ 02 Thời gian làm bài: 90 phút, không kể thời gian phát đề Câu 41 Câu 1: Cho số phức z thỏa mãn  2  i  z   2  i  z  2i . Giá trị nhỏ nhất của z bằng: 5 2 5 Ⓐ 1. Ⓑ . Ⓒ . Ⓓ 2. 5 5  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 42 Câu 2: Cho hình trụ có tâm hai đường tròn đáy lần lượt là O và O ' , bán kính đáy hình trụ bằng a . Trên đường tròn đáy  O  và  O ' lần lượt lấy hai điểm A, B sao cho AB tạo với trục của hình trụ a 3 một góc 300 và có khoảng cách đến trục của hình trụ bằng . Tính thể tíc khối chóp O.O ' AB 2 2 a 3 a3 3a3 3a 3 Ⓐ . Ⓑ . Ⓒ . Ⓓ . 3 4 4 4  Lời giải Bản Word lời giải chi tiết lh zalo: 083433213 1
  11.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... Câu 43 Câu 3: Có bao nhiêu cặp số nguyên  x; y  thỏa mãn 0  x  2023 và 1  y  2023 và 4 x 1  log 2  y  3  2 y  4  log 2  2 x  1 . Ⓐ 2022 . Ⓑ 1011. Ⓒ 4039 . Ⓓ 4037 .  Lời giải .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 2
  12.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 44 Câu 4: Cho hàm số y  f  x  có đạo hàm liên tục trên  và thỏa mãn f  x   f   x   2 xe x , x   ; 1 f    0 . Diện tích hình phẳng giới hạn bởi các đường y  2 f  x  ; y  f   x  và trục tung bằng 2 2e e  5 e e 5 Ⓐ . Ⓑ 3 e . Ⓒ 3  e2 . Ⓓ . 2 2  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 45 Câu 5: Trong không gian với hệ trục toạ độ Oxyz , cho mặt cầu  S  : x2  y2  z 2  8 và điểm 1 3   2 2 ; 0  . Đường thẳng d thay đổi, đi qua điểm M và cắt mặt cầu  S  tại hai điểm A, B phân M ;    biệt. Tính diện tích lớn nhất của tam giác OAB . Ⓐ 2 2. Ⓑ 2 7. Ⓒ 4. Ⓓ 7. Bản Word lời giải chi tiết lh zalo: 083433213 3
  13.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com   Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... Câu 46 Câu 6: Cho hình chóp S . ABCD có ABCD là hình thang vuông tại đỉnh A và D. Biết độ dài AB  4a, AD  3a, CD  5a và tam giác SBC đều và góc giữa mặt phẳng  SBC  và ( ABCD) bằng 600. Tính thể tích khối chóp S . ABCD theo a. 27 10a3 27a3 27 10a3 27a3 Ⓐ . Ⓑ . Ⓒ . Ⓓ . 4 4 8 8  Lời giải .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 4
  14.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 47 Câu 7: x 3 y 3 z  2 Trong không gian với hệ tọa đô Oxyz , cho hai đường thẳng  :   và 1 2 2 x 3 y 3 z 2  :   . Mặt phẳng  P  : 2 x  my  nz  p  0 ( m ; n ; p   ) chứa đường thẳng  1 2 2 tạo với đường thẳng   một góc lớn nhất. Khi đó tích của m ; n ; p bằng: Ⓐ 60 Ⓑ 30 Ⓒ 20 . Ⓓ 30 .  Lời giải ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 5
  15.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  Câu 48 Câu 8: Trên tập hợp số phức, xét phương trình bậc hai z 2  2  2m  3 z  m2  0  0 ( với m là số thực). Tính tổng tất cả các giá trị của m để phương trình đó có hai nghiệm phân biệt z1 , z2 thỏa mãn 2  z1 z2  z2 z1   z1 z2 . 12 185 11 Ⓐ . Ⓑ . Ⓒ 0. Ⓓ . 7 63 9  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 49 Câu 9: x y z 1 Trong không gian với hệ tọa độ Oxyz , cho đường thẳng d :   và mặt phẳng 2 1 1   : x  2 y  2 z  5  0 . Tìm điểm A trên d sao cho khoảng cách từ A đến mặt phẳng   bằng 3. Ⓐ A  0;0;  1 . Ⓑ A  2;1;  2  . Ⓒ A  2;  1;0  . Ⓓ A  4;  2;  1 .  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 6
  16.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 50 Câu 10: Có bao nhiêu giá trị nguyên của tham số m  2023; 2023 để hàm số y  8 x  3  m  2  4 x  3m  m  4  2 x đồng biến trên khoảng  ; 2 ? GV: Trần Đình Cư – 0834332133 Ⓐ 2022 . Ⓑ 2020 . Ⓒ 4039 . Ⓓ 4037 .  Lời giải .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 7
  17.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  HẾT GV: Trần Đình Cư – 0834332133 Bản Word lời giải chi tiết lh zalo: 083433213 8
  18.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  CHINH PHỤC ĐIỂM 8-9-10 HƯỚNG ĐẾN KÌ THI TỐT NGHIỆP THPT QUỐC GIA 2023 ĐỀ 03 Thời gian làm bài: 90 phút, không kể thời gian phát đề Câu 41 Câu 1: Cho f ( x) là hàm số liên tục trên tập số thực không âm và thỏa mãn f  x 2  3x  1  x  2 x  0. 5 Tính  f  x  dx 1 37 527 61 464 Ⓐ . Ⓑ . Ⓒ . Ⓓ . 6 3 6 3  Lời giải ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... Câu 42 Câu 2: Cho hình lăng trụ đứng ABC. ABC có đáy ABC vuông tại A, AB  a 3 , AC  AA  a Giá trị sin của góc giữa đường thẳng AC  và mặt phẳng  BCC B  bằng 10 6 3 6 Ⓐ . Ⓑ . Ⓒ . Ⓓ . 4 3 3 4  Lời giải Bản Word lời giải chi tiết lh zalo: 083433213 1
  19.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ .................................................................................................................................................................................... GV: Trần Đình Cư – 0834332133 .................................................................................................................................................................................... Câu 43 Câu 3: Cho hàm số y  f  x  liên tục trên  . Đồ thị hàm số y  f '  x  được cho trong hình bên. Hàm 3 1 số g  x   f  x   x 4  x có tối đa bao nhiêu điểm cực đại? 8 Ⓐ 2. Ⓑ 3. Ⓒ 4. Ⓓ 5.  Lời giải .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 2
  20.  CHINH PHỤC 8+, 9+ VÀ 10  Web:Toanthaycu.com  ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Câu 44 Câu 4: Cho hình chóp S . ABCD có đáy ABCD là hình bình hành. Gọi M là điểm đối xứng của C qua B và N là trung điểm của SC . Mặt phẳng  MND  chia khối chóp S . ABCD thành hai khối đa diện, trong đó khối đa diện chứa đỉnh S có thể tích V1 , khối đa diện còn lại có thể tích V2 (tham khảo hình vẽ bên). GV: Trần Đình Cư – 0834332133 V1 Tính tỉ số . V2 V 12 V1 5 V1 7 V1 1 Ⓐ 1  . Ⓑ  . Ⓒ  . Ⓓ  . V2 7 V2 3 V2 5 V2 5  Lời giải .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... .................................................................................................................................................................................... ........................................................................................................................................................................................ ........................................................................................................................................................................................ ........................................................................................................................................................................................ Bản Word lời giải chi tiết lh zalo: 083433213 3
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