8/14/2019 DeCtToanBt

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B gio dc v o to

thi chnh thc

k thi tt nghip trung hc ph thng nm 2008 Mn thi : ton B tc trung hc ph thng

Thi gian lm bi: 150 pht, khng k thi gian giao

Cu 1(3,5 im) Cho hm s y = 1x3x 23 + .1) Kho st s bin thin v v th ca hm s.2) Vit ph ng trnh tip tuyn ca th hm s ti im c honh x = 3.

Cu 2 (1,0 im) Cho hm s y = )1x2cos( . Chng minh rng: y + 4y = 0.

Cu 3 (1,5 im) Trong mt phng vi h to Oxy, cho ng trn (C) c ph ng trnh:

015x2yx 22 =+ .1) Xc nh to tm v tnh bn knh ca (C).2) Vit ph ng trnh tip tuyn ca (C) ti im A(1; 4).

Cu 4(2,0 im) Trong khng gian vi h to Oxyz, cho im M(-1; 2; 3) v mt phng () cph ng trnh 05z2y2x =++ .1) Vit ph ng trnh ng thng i qua im M v vung gc vi mt phng ().2) Vit ph ng trnh mt phng () i qua im M v song song vi mt phng ().Tnh khong cch gia hai mt phng () v ().

Cu 5 (2,0 im)

1) Tnh tch phn I =4

0

cosxsinxdx

. 2) Gii ph ng trnh 2 2n n 13C A 7 0.+ = (Trong k nC l s t hp chp k ca n phn t v

k nA l s chnh hp chp k ca n

phn t).

.........Ht.........

Th sinh khng c s dng ti liu. Gim th khng gii thch g thm.

H v tn th sinh:..................................................................... S bo danh: ..............................................................................

Ch k ca gim th 1: ....................................................... Ch k ca gim th 2: ..................................................