TRU0NG THPT r,6 xoev
Nim hqc 2010-2011 of rHr THr rr{rtD4r Hgc- r,Ax rv
Ir,T6N: TOAN- BAN KHOA HQC ryUgffiN
Thdi gian: iS0phit
Cf,u l:
Cho hdm sd y = xo - 4x' + m+2 (1)
1 Kh6o srlt sg bi6n thi€n vi v€ dO thi (C) cria hdm sd (1) vdi m: 1.
2 ciesri (C) cit Ox tai 4 cti€m phfin bi€t X6c <tinh m d6 hinh phing gi6i han
bdi (C) vd tryc hoanh c6 di$n t(ch phdn phia tr€n vd phia du6i tryc hoanh btuig nhau
Cf,u 2:
1 ciei phuong trinh: 1r*$1-f -+ tanx'sin'x cos"r = {'9.9
2 Giiib6t phuong trinh: :' +.F + o >- $".'*" +n\n .
Cf,u 3: Cho hinh hQp dtmg ABCD.A'B'C'D' c6 tl6y ld hinh thoi c4nh 4 g6c AEc =60" G6c giiia mflt p.hing (A'BD) vd mpt phing d6y bing 60" Tinh theo a
khoang crich gitla dulng thdng CD' vi m{t phing (A'BD).
Cf,u 4:
J1
1 Tinh tfch phen I = - l*' l -z+ali j'et :: t' .
2 Cho x,y e R,x> 0 Tim gi6 fi lsn nh6t c0a biiSu thric:
ry' (xz +3y2\x*$*ny'1
Ciu 5:
t frong m{t phing vdi h€ trgc to4 dQ Oxy, cho tam gi6c ABC vudng t4i A
Hai di6m A,B thuOc Ox Phucrng trinh c+nh BC ld: 4x+ jy * 16:0 X6c
<Iinh toa dQ trgng tam G cria tam gi6c ABC, bil5t b6n kinh ctuong trdn nQi tii5p tam gi6c ABC btuig 1?
2 Trong kh6ng gian top <lQ Oxyz Cho m{t c6u (S).c6 phuong trinh: (r + l)'z +{y -i'1' +12+ l)2 = 25 L$p phuong trinh tiiSp myi5n v6i m4t cAu bii5t
ti6p tuyi5n qua A(4; 0; 0) vd vudng goc v6i Ox
Cffu 6:
Tim si5 phuc zbiex l4=: vd mQt acgumen
";ru -Z-12r( 5a)
M_
http://www.violet.vn/haimathlx Sưu tầm: Nguyễn Minh Hải- THPT Lê Xoay