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ON TAP KIEM TRA GIUA HOC KY 2NEW_0

ON TAP KIEM TRA GIUA HOC KY 2NEW_0 - ON TAP KIEM TRA GIA...

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OÂN TAÄP KIEÅM TRA GIÖÕA HOÏC KYØ 2 MOÂN TOAÙN KHOÁI 11 NAÊM HOÏC 2009-2010 A. NOÄI DUNG THI: - Giôùi haïn cuûa daõy soá - Giôùi haïn cuûa haøm soá - Hai maët phaúng song song - Vectô trong khoâng gian - Hai ñöôøng thaúng vuoâng goùc - Ñöôøng thaúng vuoâng goùc vôùi maët phaúng B. BAØI TAÄP OÂN: ÑEÀ 1: Baøi 1: Tính toång n 1 1 1 1 1 S 1 5 25 125 5 - = - + - + + - + K K Baøi 2: Tinh caùc giôùi haïn sau: ( 29 ( 29 ( 29 ( 29 3 2 x 4 x 1 2 2 2 x x 2 3 2 2 2 2 x x 2 x 64 2x 7 3 a) lim b) lim 2 x 3 3x 10x 8 x x 2 x 2x 3 x c) lim d) lim x 2 3x 1 9x 1 1 5x 3x 1 1 1 e) lim f) lim x 3x 2 x 5x 6 2x 1 x 4x 3 5 - ° + + ° + ° + + - - + - - + - - + + - - + - + - + + - + - + + - + Baøi 3: ( 29 ( 29 2 2 2 2 4 3 5 2 2 2 2 3n 1 n a) lim n 4n 1 4n 5 b) lim 1 2n 3n 3 n n 2n 2n 1 4n 1 c) lim d) lim n 2 n 1 4n n 2n 1 + + - + - + - - + - + - - + - - - - + Baøi 4: Xeùt tính l ieân tuïc cuûa haøm soá : 3 2 3 0 2x 6x x 3 neáu x 3 f(x) taïi x 3 x 27 19 neáu x 3 1 + + + - = = - + = - Baøi 5: Cho hình choùp S.ABCD coù ABCD laø hình vuoâng taâm O, caïnh a. Maët beân SAB laø tam giaùc ñeàu vaø maët beân SAD laø tam giaùc vuoâng taïi A. M, K, H laàn löôït laø trung ñieåm cuûa SA, AD, AB. a) Chöùng minh raèng (MKO) // (SCD) b) Chöùng minh raèng SH AD c) Tính goùc giöõa SD vaø CB ± d) Chöùng minh raèng AC SK Baøi 6: Cho hình laêng truï tam giaùc ABC.A’B’C’. Goïi G laø troïng taâm cuûa tam giaùc ABC vaø I laø taâm cuûa hình bình haønh ABB’A’. Ñaët AA ' a, AB b, AC c °°° H = = = . Haõy bieåu dieãn GI 1 ° theo a, b, c 1 °° ÑEÀ 2: Trang 1
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Baøi 1: Tìm soá haïng toång quaùt cuûa caáp soá nhaân luøi voâ haïn coù toång baèng 3 vaø coâng boäi 2 q 3 = Baøi 2: Tinh caùc giôùi haïn: ( 29 ( 29 ( 29 ( 29 ( 29 2 n n 1 4 n n 2 2 4 3 2 4 4 n 1 2n 3 3 4 a) lim b) lim 4 2 4n n 1 n n 1 n 2n 2 c) lim n d) lim n 1 n 1 2n n + + - - + - + - + - + - + - Baøi 3: Tính caùc giôùi haïn : 2 4 2 x 1 x 2 2 2 2 2 x x 3 2x x 3x 3 x 1 a) lim b) lim x x 2 5 3x 2x 5x 1 9x 3x 1 x 2x 3 x d) lim c) lim 4x 3x 2 3x 3x 1 9x 1 . + - - - + - - - + - - - + + + + + + - + + + + + Baøi 4: Xeùt tính l ieân tuïc cuûa haøm soá : 2 3 0 5 x 1 x neáu x 2 x 8 f(x) taïi x 2 1 neáu x 2 2 1 + - + - + = = - - = - Baøi 5: Cho hình choùp S.ABCD coù ABCD laø hình vuoâng taâm O caïnh a vaø caùc caïnh beân cuõng baèng a. Goïi I laø trung ñieåm cuûa SB a) Chöùng minh 2 IO SA BC °° ° = + b) Chöùng minh SA , BC , OI °° ° ø ñoàng phaúng. c) Tính SA . SB , SA . BC °°° ² ¢ Ç Baøi 6: Cho hình choùp S.ABCD coù ñaùy ABCD laø hình vuoâng taâm O, SA (ABCD) a) Chöùng minh BD (SAC) b) Chöùng minh caùc maët beân cuûa hình choùp S.ABCD laø caùc tam giaùc vuoâng.
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