Upload
nguyentangvu
View
216
Download
0
Embed Size (px)
Citation preview
8/9/2019 GGTHH_BaiKTso2
1/2
i hc Quc gia Tp H Ch Minh
Chng trnh Gp g Ton hc H 2010
Bi kim tra s 2
Ngy thi: 21/8/2010.
Thi gian lm bi 180 pht
Bi 1. Gii h phng trnh
+=
+=+=
1 21 77
1 21 77
1 21 77
23
23
23
xxxz
zzzy
yyyx
Bi 2. Tm tt c cc a thc P(x) vi h s thc tha mn iu kin
P(x2) = P2(x) vi mi x thuc R.
Bi 3. Trong tam gic nhn ABC,AA1, BB1 v CC1l cc ng cao. Cc ngthngAA1 vB1C1 ct nhau ti imK. Cc ng trn ngoi tip cc tamgicA1KC1 vA1KB1 ct cc \ng thngAB vACti cc im th haiNvL tngng. Chng minh rng
) Tng ng knh cc ng trn ny bng cnh BC.
b) A1N/BB1+A1L/CC1=1.
Bi 4. Cho p l mt s nguyn t dng 3k+1. Chng minh rng
=
++p
i
ii1
2 )1( chia ht cho p.
Bi 5. K hiu M = {-1, 0, 1}. Tm s cc b (a1, a2, , an) tha mn ng thi cc iukin
i) ai thuc M vi mi i = 1, 2, , n.
8/9/2019 GGTHH_BaiKTso2
2/2
ii) ai ai+1 thuc M vi mi i = 1, 2, , n-1.