TRUONG THPT BA.O
DUY Tit
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BE THI TOO B~I HQC BQ'T VI (2008 - 2009)
MoD: TOA.N; Kh8i A
Thai gian lam hai: 180philt, kh6ng kd thai gian phat dJ
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-Can I Cho ham s6 y =x3 +ax2 +bx+c.
1 Khflo sat S\1'bi€n thien va ve db thi cua ham s6 khi a = 3,b = 0, c =-4 .
2 ChUng minh r~ng di~u ki~n cAnva du d€ db thi ham s6 c~t tI1)Choanh t~i hai di€m
d6i xung nhau qua g6c tQa dQla ab = c v6'i b < O.
Can II
1 Gifliphuang trinh:
3
2 Gifliphuang trinh:
sin2x+ sin23X(cOS3xsin3 3sin4x x+sin3xcos3x)=sinxsin23x.
C" III Tinhd "" , hhinh h~ d "' h b'. , d ' 2 x , 27
an I~n tIC p ang uQ'cglal ~ 01 cac uang y = x ,y = 8 va y = ;.
Can IV Cho tU di~n ABCD, trong d6 BC = a, AB = AC = b, DB = DC = c, a la g6c ph~ng OOidi~n c~nh BC (a < ~) V6'i di~u ki~n nao cua b, c thi duemg th~g n6i trung
di€m E ctia BC vai trung di€m F ctia AD la duemg vuong g6c chung ctia BC va AD? V6'i di~u ki~n vila tim duQ'chay tiOOth€ tich tU di~n ABCD
Can V Cho x, y, z la ba s6 duang th6a man xyz = 1 ChUng minh r~g:
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Can VI Trang khong gian v6'i h~ tQa dQl)~ cac vuong g6c Oxyz cho
m~t cAll x2 + y2 + z2 =4 (8)
vam~tph~g x+z=2 (P)
1 Chung minh r~ng m~t ph~ng (P) c~t m~t cAll(8) Xac dinh tQa dQtam va tinh ban
&im ctia duemg trim (C) la giao tuy€n gifi'a(P) va (8)
2 Vi€t phuang trinh duemg cong (CI) la hinh chi€u vuong g6c ctia (C) tren m~t ph~ng tQa dQOxy
Can VII Tu cac chfi' s6 1, 2, 3, 4, 5, 6, 7, 8, 9 c6 th€ l~p duQ'cbaa nhieu s6 t\1'nhien m6i s6 gbm 6 chfi' s6 khac nhau va tAng cua cac chu s6 hang chl,lc, hang tram, hang nghin b~ng 8?
Giam thi coi thi kh6ng giai thiGhgi them
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