Trêng THCS B×nh Phó Bµi kiĨm tra häc k× I N¨m Häc 2009-2010 Hä vµ tªn: …………………… M«n: To¸n Líp: ……… Thêi gian lµm bµi: 90 Điểm Lời phê thầy, cô giáo A PhÇn tr¾c nghiƯm: (3®iĨm) Khoanh trßn vµo c¸c ch÷ c¸i A, B, C, D chØ ®¸p ¸n ®óng nhÊt c¸c c©u sau: C©u 1: Gi¸ trÞ cđa biĨu thøc: (2 − 3) + + b»ng: A B -2 C D - x +2 ; §KX§ cđa biĨu thøc M lµ: x −1 A x > B x ≥ 0, x ≠ C x ≥ D x ≠ -2 C©u 3: Hai ®êng th¼ng y = (m - 3)x + (m ≠ 3) vµ y = (1- 2m)x + 1(m ≠ 0,5) c¾t khi: 4 A m = B m ≠ ; m ≠ 3; m ≠ 0,5 C m = D m = 0,5 3 C©u 4: Gäi α lµ gãc t¹o bëi ®êng th¼ng y = 0,5 x – víi trơc Ox, ta cã: o o o o A α ≈ 26 34' B α ≈ 63 26' C α ≈ 46 34' D α ≈ 23 36' C©u 5: Ph¬ng tr×nh ®êng th¼ng ®i qua ®iĨm M(-1; 2) vµ N(3; - 2) lµ: A y = 3x - B y = x - C y = - x + D y = - x + C©u 6: Ph¬ng tr×nh ®êng th¼ng song song víi ®êng th¼ng y = 2x - vµ ®i qua ®iĨm A(2; 1) lµ: A y = 2x - B y = 2x + C y = -2x - D y = 2x - 3x − y = C©u 7: HƯ ph¬ng tr×nh cã sè nghiƯm lµ: x − y = A V« nghiƯm B V« sè nghiƯm C nghiƯm D nghiƯm 2x − 4y = C©u 8: HƯ ph¬ng tr×nh cã sè nghiƯm lµ: x − 2y = −3 A V« nghiƯm B V« sè nghiƯm C nghiƯm D nghiƯm C©u 9: Trªn h×nh ta cã: 16 A x = vµ y = B x = 4,8 vµ y = 10 x C x = vµ y = 9,6 D C¶ trêng hỵp trªn ®Ịu sai y C©u 10: Trªn h×nh 2, sin B b»ng: H×nh A AH BC AC AH A B C D AC AC AB AB C©u 11: Trªn h×nh 2, ta cã hƯ thøc: C B A AB2 = AH BC B AB2 = AC2 + BC2 H C AH2 = HB HC D AH BC = AB + AC H×nh C©u 12: Cho ®êng th¼ng a c¾t ®êng trßn (O;R), kỴ OH ⊥ a ≡ H, ®ã ta cã: A OH = R B OH > R C OH < R D §¸p ¸n kh¸c C©u 2: Cho M = B PhÇn tù ln: ( 7®iĨm) C©u (2 ®iĨm): 1 + − Cho biĨu thøc : A= ÷: ÷+ 1− x 1+ x 1− x 1+ x 1− x a) Rót gän biĨu thøc A b) TÝnh gi¸ trÞ cđa A x = − c) Víi gi¸ trÞ nµo cđa x th× A cã gi¸ trÞ b»ng − ? ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… C©u (2 ®iĨm): Cho c¸c hµm sè y = x - vµ y = - 2x + a) Trong c¸c hµm sè trªn, hµm sè nµo ®ång biÕn, hµm sè nµo nghÞch biÕn? V× sao? b) VÏ ®å thÞ cđa c¸c hµm sè ®· cho trªn cïng mét mỈt ph¼ng to¹ ®é c) Hai ®êng th¼ng trªn song song, c¾t hay trïng nhau? V× sao? T×m to¹ ®é giao ®iĨm (nÕu cã) cđa hai ®êng th¼ng trªn ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………… C©u 3( ®iĨm): Cho tam gi¸c ABC vu«ng t¹i A, ®êng cao AH, cã AB = 4cm; AC = 3cm a) TÝnh gãc B vµ ®é dµi c¸c ®o¹n th¼ng BC, AH b) VÏ ®êng trßn t©m O ngo¹i tiÕp tam gi¸c ABC, c¸c tiÕp tun t¹i A vµ B cđa (O) c¾t t¹i M Nèi MO c¾t c¹nh AB ë E, kÐo dµi CA c¾t ®êng th¼ng BM ë D Chøng minh OM//CD vµ M lµ trung ®iĨm cđa ®o¹n th¼ng BD c) TÝnh diƯn tÝch cđa tø gi¸c AHBM ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………….…………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………… …………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ……………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………………… ………………………………………………………………………………………………… ... tròn tâm O ngo i tiếp tam giác ABC, tiếp tuyến A B (O) cắt M N i MO cắt cạnh AB E, kéo d i CA cắt đờng thẳng BM D Chứng minh OM//CD M trung i m đoạn thẳng BD c) Tính diện tích tứ giác AHBM ...B Phần tự luận: ( 7 i m) Câu (2 i m): 1 + Cho biểu thức : A= ữ: ữ+ x 1+ x x 1+ x x a) Rút gọn biểu thức A b) Tính giá trị A x = c) V i giá trị x A có giá trị ? ... toạ độ giao i m (nếu có) hai đờng thẳng Câu 3( i m): Cho tam giác ABC vuông A, đờng cao AH, có AB = 4cm; AC = 3cm a) Tính góc B độ d i đoạn thẳng