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(1)KY THI TO^ Q U ~ C GIAI TOAN T&N MAY T ~ N H CASIO N& 2008 M ~ N : TO& (THCS)
T H ~ I GIAN: 150 P ~ T NGAY THI: 14/03/2008 Clu : Tinh gia tri cua bieu thuc
1 ) A = 135791~+246824~
3 sin 15'25'+4 cos 12' 12'.sin 42"20'+ cos 36'1 5' 2) B =
2cos15025'+3cos65013'.sin15012'+cos31033'.sin18020'
Clu 2: Cho P(x) = x4 + ax3 + bx2 + cx + d cb P(0) = 12, P(1)=12, P(2) = 0, P(4) = 60 1) Xac djnh cac he s6 b, C, d c h P(x)
2) Tinh P(2006)
3) Tim s6 du ph6p chia da thirc P(x) cho (5x - 6)
CPu 3: Tam gihc ABC cb AB = 31,48 (cm), BC = 25,43 (cm), AC = 16,25 (cm) ~ i k t quy trinh b%n phim l i b tvc tr&n may tinh cbn tay vP tinh chinh xac d6n 02 chft s6 sau d h phiy gih 8 dien tich tam g i b , bhn kinh d u h g trbn ngoai ti6p va dien tich p h h hlnh trbn nhn phia ngohi tam gihc ABC
abc (Cho bikt cBng thuc tinh di@ tich tam giac: S = ,/p(p - a)(p - b)(p - c ) , S = -)
4R &+1 &
C Au 4: Cho hai d u h g t h b g : ( dl ) y = - x+- (d2):y=-X 45-1 JT
2 2
1 ) Tinh goc tao bbi cac dubng t h h g tr&n v6i W c ox (chinh xhc d& giiiy)
2) Tim giao di&m cua hai d u h g t h h g trsn (tinh t ~ a giao di&m chinh xac d&n chft sb sau dhu phiy) 3) Tinh goc nhon tqo bbi hai dubng t h k g tr&n (chinh xhc d6n giiiy)
Clu 5: Tu diem M nhn b ngoai d u h g W n (0;R) k6 hai ti6p tuy6n MA, ME3 vbi d u h g Wn Cho bikt MO = 2R va R = 4,23 (cm), tinh chinh xac den ch0 s6 sau &u phiy:
1) ~ hdien h tich c h tir g i b MAOB & phia ngoiii duEmg trbn (0;R) 2) Dien tich p h h chung c h hlnh trbn d u h g kinh MO vA hinh trbn (0;R)
,/a: +an +1-1
CPu 6: Cho day sb a, = l,an+, = vdi n = 0,1,2, an
1) Lap quy trinh b& phim tinh an+, tren mhy tinh c%n tay 2) Tinh a,,a,,a,,a,,a,,a,,,a,,
CPu 7: Cho day s6 U, = 2; U2 = 3; Un+, = 3U,, + 2Un+, + 3 v6i n 2 2 1) Lfip quy trinh b h phim tinh Un+, tr&n may tinh c b tay 2) Tinh U,,U,,U,,U,,,U,,,U,,
Bai 8: Cho d u h g tron dubng kinh AB = 2R, M va N la hai di&m nhn tren d u h g trbn cho: cung AM = cung MN = cung NB Goi H la hinh chi6u c h N tr&n AB vA P la giao di&m c h AM v6i HN Cho R = 6,25 cm
1) Tinh: Goc (MBP)
2) Cho hinh vC quay mat vong xung quanh W c BM Tinh dien tich xung quanh va thb tich hinh tam giac MBP @o (chinh xac d&n chft s6 sau ddu phhy)
Bhi 9: DAn sb c h mot nuwc la 80 trieu nguiri, mirc W g d b s6 1P 1,1% m6i n8m Tinh din s6 chi nu&c sau
n n t h , ap dpng viri n = 20
13x3 - 26102x2 - 2009x-4030056 = Bhi 10: Gig he phuung trinh: