TRNG I HC BCH KHOA H NI TUYN SINH K S TI NNG NM 2014

TRUNG TM O TO TI NNG MN TON

(Thi gian lm bi: 120 pht, khng k thi gian pht )

Bi 1. Tm m phng trnh sau c nghim:

29 9 81 0m x x x

Bi 2. Tnh o hm cp 2014 ti 0x ca hm s: sin sin2 sin3y x x x

Bi 3. Cho hnh chp .S ABCD c y ABCD l hnh thang v:

2 ,SA SB SC AD a AB BC CD a

1. Tnh theo a th tch khi chp .S ABCD .

2. Mt phng qua BC v to vi y mt gc 030 . Tnh theo a th tch thit din ca hnh chp

.S ABCD khi ct bi mt phng .

Bi 4. Tm tim cn xin ca th hm s: 2 22 3 2 8 15y x x x x

Bi 5. Chng minh rng: 2014 2014

2014

sin1007

1 2014xx

Bi 6. Cho mt mnh t hnh vung kch thc 10 10m m v nhng vin gch hnh ch T nh bn

di. hi c th lt kn mnh t bng 25 vin gch hay khng? V sao?

Vin gch hnh ch T

Gm 4 vung 1 1m m

--- HT ---

KHA HC N THI K S TI NNG BT U T 20/7 N 30/8.

Ging vin l cc sinh vin KSTN K59 i hc Bch Khoa H Ni

Lin h: Nguyn Xun Tng - ST: 0168 686 6806 hoc email: onthikstn@gmail.com

Truy cp web: onthibachkhoa.com xem cc thng tin quan trng khc.

Mnh t

10 10m m