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Họ và tên………………………. ĐỀ KHẢO SÁT 2
Chú ý: Các bài khi không nói gì thêm thì tính chính xác đễn chữ số thập phân thứ 5
Câu 1 (5,0 điểm):
a, T×m sè chÝnh ph¬ng nhá nhÊt cã d¹ng biÕt r»ng 540
b, T×m sè n nhá nhÊt sao cho 3n + 5n chia hÕt cho 13
c, T×m sè chÝnh ph¬ng cã d¹ng P = biÕt r»ng a + b = 13. T×m a, b
d, T×m sè chÝnh ph¬ng cã d¹ng P = biÕt r»ng c2 + d2 = 58. T×m c, d
e, T×m sè chÝnh ph¬ng cã d¹ng P = vµ chia hÕt cho 9. T×m m, n
Bài giải |
Sơ lược cách giải .......................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... ............................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................ |
Câu 2 (5 điểm) . Tính giá trị của các biểu thức sau
a, A = với a = 9,4536847
b, B =
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a) |
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Câu 3 (5 điểm) Tìm x biết
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Câu 4 (5 điểm) Cho d·y sè: Un =
a, TÝnh U1; U2 ; U3; U4; U5
b, LËp c«ng thøc truy håi tÝnh Un+1 theo Un vµ Un-1
c, TÝnh ®óng U10, U11
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Câu 5: (5 điểm)
1. Cho ®a thøc: P(x) = x5 + ax4 + bx3 + cx2 + dx + 132005. BiÕt khi cho x c¸c gi¸ trÞ 1, 2, 3, 4 th× P(x) nhËn c¸c gi¸ trÞ t¬ng øng lµ: 8, 11, 14, 17. Xác định các hệ số a, b, c, d, e. Tìm số dư trong phép chia P(x) cho 4x - 2012
2. Tìm đa thức dư trong phép chia: x2012 - 2x2011 + 3 cho đa thức x2 - 1
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Câu 6 (8 điểm) Cho (d1) y = vµ (d2) y =
a, X¸c ®Þnh gãc gi÷a hai ®êng th¼ng trªn víi trôc Ox (Chính xác đến giây)
b, TÝnh to¹ ®é giao ®iÓm C cña hai ®êng th¼ng trªn.
c, Gäi A, B lµ giao ®iÓm cña (d1) vµ (d2) víi Ox. TÝnh diÖn tÝch tam gi¸c ABC
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Câu 7 (5 điểm) Mét hçn hîp gåm 5 chÊt vµ nÆng 5327156605 gam. BiÕt r»ng tØ lÖ khèi lîng gi÷a c¸c chÊt lµ nh nhau: tØ lÖ gi÷a chÊt thø nhÊt vµ chÊt thø hai lµ 2 : 3, tØ lÖ gi÷a chÊt thø hai vµ chÊt thø ba lµ 4 : 5, tØ lÖ gi÷a chÊt thø ba vµ chÊt thø t lµ 7: 6, tØ lÖ gi÷a chÊt thø t vµ chÊt thø n¨m lµ 11 : 7. H·y t×m vµ cho biÕt mçi chÊt trong hçn hîp nµy nÆng bao nhiªu gam.
Bài giải
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Câu 8 (5 điểm) 1, T×m GTNN cña A =
2, Cho (1+2x+x2)15 = a0 + a1x + a2x2 + ...+a30x30. Tính S = a0 + a2 + ... + a30
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Câu 9 (5 điểm) Cho ABC; AB = 4,71cm; BC = 6,26cm; AC = 7,62cm. Ph©n gi¸c trong BD
a. TÝnh diÖn tÝch ABC vµ ®êng cao BH, trung tuyÕn BM cña gãc B.
b. TÝnh b¸n kÝnh ®êng trßn ngo¹i tiÕp, néi tiÕp.
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Câu 10 (5 điểm) Cho hình thang ABCD có hai đường chéo AC và BD vuông góc với nhau tại I, hai cạnh đáy AB = 1,78 (cm); DC = 4,17 (cm); cạnh bên AD = 2,6 (cm).
a) Tính độ dài cạnh bên BC.
b) Tính diện tích hình thang ABCD.
Bài giải
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