De thi tuyen sinh lop 10 toan hoc chuyen

Goi A, B lin luol là giao diem dm d viii true hoanh va true tung.. b Xac dinh gia tri dm m de khoang each ter gOc tea de den clueing thing d bang 2.. Ba duemg cao AD, BE, CF cat nhau tai

DAI HOC TAN TAO

TRU'ONG THPT NANG KIIIEU

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IDE CHiNH THirC

Kil THI TUYEN SINH LOP 10 NAM HOC 2015-2016

MON THI: TOAN HOC (CHUYEN)

Ngay thi: 05/06/2015 ThZri gian lam bai: 150 phut Cau 1 (1,25 diem) Cho cac bieu thirc:

A =

a2 -1

a) Rut gon cac bieu thirc A va B

b) Tim tat ca cac gia tri nguyen cila a 6 bieu thirc C = A + B la so nguyen

Cau 2 (1,5 diem) Trong N true toa do vuong g6c Oxy, cho throng thing

d: y = (m + 2)x + 3 (m # —2)

Goi A, B lin luol là giao diem dm d viii true hoanh va true tung

a) Tim m a dien tich tam gide OAB bang 4

b) Xac dinh gia tri dm m de khoang each ter gOc tea de den clueing thing d bang 2

Cau 3 (1,75 diem) Giai phtrung trinh va N phucmg trinh sau:

a) (x + 1)(2x + 3)(4x + 5)2 = !

b) (x2 + y2 = 13

txy — x — y = 1

Can 4 (2,5 diem) Cho tam gide ABC c6 ba goc nhon not tip trong duZyng tron (0; R) Ba duemg cao AD, BE, CF cat nhau tai H Goi K la trung diem cila BC, AM la dual-1g kinh cila dtrong ton (0)

a) Chimg minh ba diem H, K, M thing hang

b) ChUng minh ABC = AEF

c) Chimg minh OA vuong goc voi EF

d) Goi p la nira chu vi dm tam giac DEF ChUng minh: SABc = Rp

Cau 5 (1,0 diem) Tim cac so tv nhien x, y thOa man:

x2 + y 2 =x+y+8

Cau 6 (1,0 diem) Cho hai s6 thvc &rang a va b thoa: ab = 1 Tim gia tri nho nhAt dm bieu thuc:

a3 b3

P = 1+ b + 1+ a

Cau 7 (1,0 diem) Cho tam gide ABC co trong tam G MOt dtrong thing d di qua G cat cac doan thing AB, AC lin luert tai M va N Chung minh:

SABC < 9 SAMN 4

Hit—

Ho va ten thi sinh: So bao danh:

a3 +1 a2 -1

B = 2a2+7a+3

a+1' 2a2-a-1