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2017中考-石景山二模数学试卷

2017中考-石景山二模数学试卷
2017中考-石景山二模数学试卷

1.A. B. C. D.实数,,在数轴上的对应点的位置如图所示,则正确的结论是( ).

a b c ?a >c a >b ab >0a >?3

3.A. B. C. D.如图,直线,直线与,分别交于点,,过点作于点,若,则的度数为( ).

a //

b l a b A B A AC ⊥b C ∠1=50°∠2130°50°40°25°

6.A. B. C. D.如图,四边形是⊙的内接正方形,点是劣弧上任意一点(与点不重合),则的度数为( ).

ABCD O P AB ?

B ∠BP

C 30°45°60°90°

7.A.大于吨

B.等于吨

C.小于吨

D.大于吨

如图,反映了某公司的销售收入(单位:元)与销售量(单位:吨)的关系,反映了该公司的销售成本(单位:元)与销售量(单位:吨)的关系,当该公司盈利(收入大于成本)时,销售量应为( ).l 1l 245558.A.距点处 B.距点处 C.距点处 D.的中点处

如图,某河的同侧有,两个工厂,它们垂直于河边的小路的长度分别为,,这两条小路相距

.现要在河边建立一个抽水站,把水送到,两个工厂去,若使供水管最短,抽水站应建立的位置为( ).

A B AC =2km BD =3km 5km A B C 1km C 2km C 3km CD

△ABC O12πO

13.如图,是⊙的内接正三角形,图中阴影部分的面积是,则⊙的半径为 .

19.如图,在中,,于点,于点.求证:.

△ABC CD =CA CE ⊥AD E BF ⊥AD F ∠ACE =∠DBF 22.(1)求证:四边形是平行四边形.

(2)若,,,求的长.

如图,四边形是矩形,点在边上,点在的延长线上,且.

ABCD E AD F AD BE =CF EBCF ∠BEC =90°∠ABE =30°AB =3√ED

(1)求直线与双曲线的表达式.

(2)过点作轴于点,若点在双曲线上,且的面积为,求点的坐标.B BC ⊥x C P y =

m

x

△P AC 4P 25.如图,为⊙的直径,弦,相交于点,且于点,过点作⊙的切线交的延长线于点.

AB O BC DE F DE ⊥AB G C O DE H

27.(1)求抛物线的表达式及顶点坐标.

(2)将抛物线平移,得到的新抛物线的顶点为,抛物线的对称轴与两条抛物线,围成的封闭

图形为.直线经过点.若直线与图形有公共点,求的取值范围.

在平面直角坐标系中,抛物线:与轴交于点,(点在点的左侧),对称轴与轴交于点,且.

xOy C 1y =+bx +c x 2x A B A B x 3,0

AB =4C 1C 1C 2(0,?1)C 1C 1C 2M l :y =kx +m (k ≠0)B l M k

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