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8/2/2019 Toan 10 Thang Long Ha Noi HK 2
1/1
Trng THPT Thang Long Ha Noi
e kiem tra Hoc ky II Lp 10 Nam hoc 2010 2011
Bai 1 (1,5 iem)
Cho , f x m x m x m 23 2 3 2 vi m la tham so. Tm m e:
a) x co ngha vi moi x thuoc .b) Phng trnh: f x 0 co hai nghiem phan biet cung dau.
Bai 2 (2,5 iem)
a) Giai phng trnh: x x 11 4 1 b) Giai bat phng trnh : x x x x 2 22 3 11 3 4
Bai 3 (4 iem)
1) Trong mat phang toa o Oxy cho ng thang :d x y 1 0 va ng tron :C x y
2 2
1 2 4
a. Viet phng trnh tong quat cua ng thang 1 i qua iem ;A 1 3 va vuong goc ving thang d .Tm toa o iem A oi xng vi qua d .
b. Viet phng trnh tiep tuyen 2 cua C biet 2 song song vi d .c. Viet phng trnh ng tron C tiep xuc vi ng thang d tai iem ;P 2 1 va co tam
thuoc ng thang : x y 3 2 6 0 .
2) Trong mat phang toa o Oxy , viet phng trnh chnh tac cua elip E , biet rang E co tam saibang
11
6va hnh ch nhat c s co chu vi bang 22 .
Bai 4 (1,5 iem)
a) CMR: sin sin sin x x x 2 2 24 4 b) Tm gia tr ln nhat, nho nhat cua bieu thc : sin cos sin .cos A x x x x 4 4 .
Bai 5 (0,5 iem). Cho , , ,a b c d la cac so thc dng va thoa man:a b c d
1 1 1 13
1 1 1 1.
Chng minh rang : abcd1
81.