GIẤY KIỂM TRA
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Đ/c: 17
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KhánhNinh
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ĐIỂM
LỜI PHÊ CA GIO VIấN
BI
Câu 1 ( 3 điểm )
Cho phơng tr×nh : x2 – 2 ( m + n)x + 4mn = 0 .
a) Giải phơng trình khi m = 1 ; n = 3 .
b) Chøng minh r»ng ph¬ng trình luôn có nghiệm với mọi m ,n .
2
2
c) Gọi x1, x2, là hai nghiệm của phơng trình . Tính x1 x 2 theo m ,n .
C©u 2 ( 2 điểm )
Giải các phơng trình .
a) x3 16x = 0
b)
x x 2
1
14
2
1
c) 3 x x 9
Câu 3 ( 2 điểm )
Cho hàm số : y = ( 2m – 3)x2 .
1) Khi x < 0 tìm các giá trị của m để hàm số luôn đồng biến .
2) Tìm m để đồ thị hàm sè ®i qua ®iĨm ( 1 , -1 ) . Vẽ đồ thị với m vừa tìm đợc .
Câu 4 (3điểm )
Cho tam giác nhọn ABC và đờng kính BON . Gọi H là trực tâm của tam giác ABC , Đờng
thẳng BH cắt đờng tròn ngoại tiếp tam giác ABC t¹i M .
1) Chứng minh tứ giác AMCN là hình thanng cân .
2) Gọi I là trung điểm của AC . Chứng minh H , I , N thẳng hàng .
3) Chứng minh rằng BH = 2 OI và tam giác CHM c©n .
BÀI LÀM
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