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2.
= 4cos x +
sinx cosx
3
3.
Cu II (1 im)
1. Tnh gii hn: lim
x1
2. Cho hm s y =
x+3 3 x+7
x2 1
1 2x
, vit phng trnh tip tuyn ca th hm s bit tip tuyn i qua
x +1
im A(0; -2).
Cu III ( 3 im)
1. Gii bt phng trnh:
1 2
6
A2 x Ax2 Cx3 + 10 .
2
x
0
1
2
n
2. Tnh tng: S = ( n + 1) Cn + nCn + ( n 1) Cn + ... + Cn .
4. Khai trin biu thc 1 + x 4 + 2 thnh a thc, tm h s ca s hng cha x 6 bit n tha
x
3
2
mn h thc: Cn1 Cn1
2 2
An2
3
Cu IV (4 im)
Cho hnh chp S.ABCD c y ABCD l hnh vung tm O, cnh bng a, SA = a 3 v
SA ( ABCD ) .
1. Chng minh: ( SBC ) ( SAB )
2. Mi im M thuc mt phng (SAC) u tha mn: MB = MD.
3. Tnh khong cch t im A n mt phng (SBC)
4. Dng v tnh di on vung gc chung ca hai hai ng thng SO v BC.
....... HT .......
H v tn th sinh: ........................................................................................