Đề tài: Sử dụng máy tính cầm tay giải một số bài toán trong chương trình toán 10, 11, 12

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Máy tính cầm tay, máy tính bỏ túi đã trở nên thân thuộc với hầu hết mọi học sinh THPT. Có em hầu như không thể "làm được gì" nếu không có cho dùng máy tính đề giải toán. Khi biết sử dụng thành thạo MTCT để giải toán, học sinh còn tự rèn luyện khá năng tư duy thuật toán, qua đó giúp các em củng cố khắc sâu kiến thức hơn, nâng cao khả năng tư duy logic giúp các em học tốt hơn.

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Nội dung Text: Đề tài: Sử dụng máy tính cầm tay giải một số bài toán trong chương trình toán 10, 11, 12

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! abc6 0 d *e dc f) gh && m- " 3 4: , 3 0 , + Q^ , + B ,C , /L 0 3 3 ,# , 3* 3 ) , H , ' #B 0 * + , ' 3 , # , 3* 3 ! /0 " 3 @ )E , @ @ 3 & 03&3 45/ & 6 ., 8T/ 4 &T L 6 , > , , U G #B J@ @ " 3I % A @ )E , 2 T ./ + ! . = ./ y X8 49 , F> G ) ,6 )# T [ ) \T - E M /)1 , , A # , •a€T / 0 / 0 / 0 / 0 0 J@ ./ + ! . − ./ 03 0 2 & [ ) ]T L 8. 8 J@ #B L *2 03 ' d L = [ ) bT L -- L , M , > 0 4< 3 L = L 1 - ' *! ? 6 > 0 2 & [ ) hT m3 *k L + π - d L ∆ ,S@ - D ./ + ! . − ./ d L 8. 8 L = * + , #8 ,2 , M A r ! ! *! ? 6 /0 , j ,W 2 Q( ) " , > O d ' *2 /0 π & c! * + , @ 6 J π π /0 /: *2 π 3S ‘ &&& R 49 )* + ,@ 6 *2 π 2 L !@ .24 . - − π + π - ∆ &9 & '&5:! 8. 8 = ! *! ? 6 , j ,W 2 ' ' *2 /0 @ ! * + , 2 < > /: 4 3 #B *2 * [ ) UT 2 Q( 3 ' " , > 03 * * + , L ∆ * ,S@ - D ./ + ! . − ./ d L -- L #B J K % 2& & 3L&F >" %M 1N OJ P 2& Q& K R 2& % F% S F% T 1? F ::: d L = L 1 - ' *! ? 6 > 0 2 & [ ? /: /0 !@ ) h 3 *2 3 " , > 0 & O QT B ! Q( , > 0 ' @ 6 /0 \ , > A " * + , ' - L 4 # T .24 . - − + !9 " &5# ;! < - = = ! ' , M , > A " , > / 2 3 ) ) 2 L " , > J ? /: 0 , M* G ‡ π y• Q *! ? 6 A 0 J@ /0T Q ≈ [W g]VbW • * π Q ≈ W Vbx\W • * !" # $ %# & & ' (& )*+ ))+ ),
! y X8 49 , F> ) ,6 )# T c' , /0 3 F> /0 * ,B , F> G & c' e* /0 # * L ; 5 -- L , M , > 0 4< 3 L = 2 #v < 2 , > D , * + , L \/ G ) F> G &X Q /: L 3 F> )# T [ ) \T - E M /)1 , , A # , •a€T 34 0 J@ - D ./ + ! . − ./ 03 0 2 & [ ) ]T L 8. 8 J@ #B L *2 03 ' d L = [ ) bT L ; 5 -- L , M , > 0 4< 3 L = 1 - ' *! ? 6 > 0 2 & [ ) hT m3 *k L + π - d L ∆ ,S@ - D ./ + ! . − ./ d L 8. 8 L = * + , #8 ,2 , M A r ! ! *! ? 6 /0 , j ,W 2 Q( ) " , > O d ' *2 /0 π & c! * + , @ 6 J π π /0 /: *2 π 3S ‘ &&& R 49 )* + ,@ 6 *2 π 2 L !@ .24 . - − π + π - ∆ &9 & '&5:! 8. 8 = ! *! ? 6 , j ,W 2 ' ' *2 /0 @ ! * + , 2 < > /: 4 3 #B *2 * [ ) UT 2 Q( 3 ' " , > 03 * * + , L ∆ * ,S@ - D ./ + ! . − ./ d L ; 5 -- L #B J K % 2& & 3L&F >" %M 1N OJ P 2& Q& K R 2& % F % S F % T 1? F::: d L = 1 - ' *! ? 6 > 0 2 & [ ? /: /0 !@ ) h 3 *2 3 " , > 0 & y c -/ i,T U , 4 1 B 5 3I &5J " P ( %V > 2& L W(F X > 2 R 5 63 #S( ? > 2 # 5 ( R 2&: * #Y Z 4 , 1 & W( &? (S M : [, 4 1 B 5 3I &5J " K 8 2( +(, 5 4 P9 \ ; R 2& ] F *( W( R 2& +(5 P 1Y & 7& * #C & PF #^ K ( H 5 R 2& J 4 , # # , & !" # $ %# & & ' (& )*+ ))+ ), "
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! 0303 ;+ , / j / k$ ,` T.$ X/ T. 0303&3 45/ 0 4Y/ +A / k$ ,` T.$ X/ T. mB # 3 UVW X 0 6 # 3 UVW YX 2 ? 2 L /0 ) T ~ 2 89 T 8 9 ~ 2 .9 T 4 9 &T *7 ! * + C "" #1 & % (5 3 , L@ 0 30 ,d V ,)K " b ,)K 03 )K , 9 | c! * + , ' #< @ > N D 9 A b ,)K 3 , )K , 9 2 ' 3 " Z | c! " b ,)K 03 )K , 9 D 9T ) % ' ) – )K , 9 2 ' 3 " Z | R2 * + , @ > D 9 b ,)K #B " /0 8 = [ L T 8 | R2 ' @ > D 9 b ,)K #B " /0 . = & [ L T 4 P *+ ,-. . / ,89/ ,l *+ &T " *7 ! * + C "" #1 & % ( ' \U ,)K 4< , 6 ! j , * + , ' ] ,)K 03 ' - j , | c! *! ? 6 /0 > " h ,)K 3 - L 2 ' 3 *! ? 6 ' -Z | c! *! ? 6 /0 > " ,6 L 2 2 ' 3 *! ? 6 ' -Z | R2 h ,)K * + , D < #B *! ? 6 ' - /0T 8 = , & L T 8 | R2 b ,)K ' D < #B *! ? 6 ' - /0T . = L T 4 030303 45/ 6 . 89/ ,!:/ / k$ ,` T.$ X/ T. €: , 3 0 > : * + , ' 3 ,# , 3* 3 ) , ' O , ' 3 , *2 B , >@ 0 > H , ; ' S 3 , 72 m: " & c' , /0 , @ 6 ,6 +& !" # $ %# & & ' (& )*+ ))+ ), %
! , Q^ 49 # T & T D ! % < BEFB 5 ( 5 _ 6 @ )E , 2 T 8 + 8 = 8 ,+ y $) , 4n 3 F> G YX 2 ' ` @ 6 L 8. 8 ) * L 4 4L = = = [mN *> T ≥ ∈» - .24 . - .24 . = .24 . - + .24 . .24 . - 8 + .24 . - 8 − .24 . - + 8 , = = = [ L = / 9 * 03 *! ? 6 - D /0 W 2, M /0 @ #B L !@ 0 / 4L = G - Q( 3 ', M 03 /0 , > G * + ,& 0 0 *! ? 6 /0T † i 0 D ! % < BEFB 5 5 _6 L @ )E , 2 T /0 #B < − 8 + 8 ≤ . y $) , 4n 3 F> G [mN *> T ≤ ∈» Q( r /0 & - .24 . - .24 . = .24 . - + .24 . .24 . - − .24 . - 8 + .24 . - 8 − .24 . - 4 = = = [ L = / 9 * 03 *! ? 6 - D ≤W 2, M /0 @ #B * ,S@ , M 2 , H , L !@ 0 / 4L = G - Q( 3 ', M 03 /0 , > G * + ,& 0 0 ' *! ? 6 /0T † h 0 † U& D ! % < BEFB 5 5 ) 4+ _6 L @ )E , 2 T * /0 #B < ≤ , . 9+ + −9 3 y $) , 4n 3 F> G [ •— 0 , 0 0 G H . I ' J KC LM 5 K H H 5 I N K G& R2 ! @ ,6 T ≤9≤ 9 ∈» Q( r /0 ; “ /0 *& .24 . - .24 . .24 . = .24 . = .24 . = + .24 . .24 . - + 3 ÷ .24 . - − .24 . = 3 − , .24 . - + 4 .24 . = + 8. 8 = = − = = = !" # $ %# & & ' (& )*+ ))+ ), &
! [7 , M - D ≤W 2 J S@ , M 0 & [7 L 2 H , p e L * e #B J@ ≤ #B @ 8 A J@& [7 ? ^ ! #B * ≤ 2 , F , \ E M 3, M r D /0 0 , /: [\ 3 “ # ' 2 D !@ 9 L = = = * “? ^ ! , M ≤ r& X ' 2 /S@ /: 3 0 & [ _S@ GF, II I D /0 * ', M J@ / E #B @ 8 A J@& L -? /: - D L 8. 8 - J@ , M & [$- /0 0 2 H , e G > B S@ , M ‘* + ˜\W 2 ; '* 6 F , D ! / ? 2 L @ L / & [ 0 0 ' *! ? 6 /0T ‘ * /0T W‘ W \‘ W \‘ \ ]‘ ] b‘ b & JT D ! % < BEFB 5 5 5 + − _6 > @ )E , 2 3 > D # T8 + 8 8 =, [mN *> T ≤ + ≤ 2 ∈» Q( r /0 Q ; “ /0 &  8 + = ,8  ⇒ 8 + 8 = ,8 + 8 ⇔ 8 + 8 − 8 = +  + + − + −  8 = 8  + − + + .24 . - .24 . .24 . = .24 . = .24 . = + .24 . .24 . - 8 .24 . = + + .24 . - 8 .24 . = − − .24 . - + 8 .24 . = 8. 8 = = = = = [ L = 0* 03 , M - D /0 W 2 S@ Q ' /0 , > & [7 L p /0 , M A E , M A Q E M& €3 ' * “ : F , 4 * E r E M 2 J@ F , r / \ E M , /: “ /0 W& $3S * L 0 L Y••ƒ• 2 H , F , r / \ E M , /: “ /0 W 0 !@ 9 L = = = [ 0 0 ' *! ? 6 /0T Q‘ /0T x‘ b & P ;+ , / ,89/ ,l *+ &T mN B , >@ $% ]WWh [ ]WWU _6 L @ )E , 2 T /0 #B < 8 − + +8 + ≤ . *+ 0T mN m: " 7 B € [ ]WWx 2 , 4)E , T 8 +8 + +8 − = mXT † i !" # $ %# & & ' (& )*+ ))+ ), ,