Cu 1. Cho hm s 3 22 3 1y x x c th .C

1. Kho st s bin thin v v th C ca hm s cho.

2. Vit phng trnh tip tuyn ca 3 2: 2 3 1C y x x bit tip tuyn song song vi ng thng 12 1.y x

3. Da vo th hy tm m phng trnh 3 22 3 1 0x x m c ng hai nghim. Tm hai nghim .

Cu 2. Gai cc phng trnh

1. 13 3 2 0.x x

2. 2 4 3log 3 2log 3.log 2.x x

Cu 3. Tm cc s phc 2z z v 25

z bit 3 4 .z i

Cu 4. Tnh tch phn 2

2

0

sin cos .x x xdx

Cu 5. Cho hnh lng tr ng .ABC A B C c y ABC l tam gic vung ti B v .BA BC a Gc gia ng

thng A B vi mt phng ABC bng 60 .o Tnh th tch khi lng tr theo a v tnh khong cch t A n

.A BC

Cu 7. Trong mt phng vi h ta Oxy tam gic ABC c cao ,AH trung tuyn ,BM phn gic CD ln

lt c phng trnh l 0,2 3 0, 3 1 0.x y x y x y Tm ta cc nh.

Cu 8. Trong khng gian Oxyz cho hai im 2;2;1 , 0;2;5A B , v mt phng : 2 5 0.P x y

1. Vit phng trnh ng thng .AB

2. Vit phng trnh mt cu S ng knh .AB

3. Chng minh rng P tip xc mt cu S v hy tm ta tip im .M

4. Vit phng trnh mt phng Q qua , , .A B M

Cu 9. Tm GTLN v GTNN ca hm s 2 3 lny x x x trn on 1;2 .

TRUNG TM CNG HC TON

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