一、<table border=0 cellspacing=0 cellpadding=0 > <tr > <td > <p><b >单选题</b></p> </td> </tr> </table>
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2.
二次根式
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
有意义的条件是( )
A . x>3
B . x>﹣3
C . x≥3
D . x≥﹣3
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4.
化简
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsqrt%3E%3Cmrow%3E%3Cmi%3E%EF%BC%88%3C%2Fmi%3E%3Cmtext%3E-%3C%2Fmtext%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmsup%3E%3Cmi%3E%EF%BC%89%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmsqrt%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的结果正确的是( )
A . ﹣2
B . 2
C . ±2
D . 4
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5.
平行四边形、矩形、菱形、正方形中是轴对称图形的有( ).
A . 1个
B . 2个
C . 3个
D . 4个
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A . 第一象限
B . 第二象限
C . 第三象限
D . 第四象限
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7.
下列说法中错误的是( )
A . 两条对角线互相平分的四边形是平行四边形
B . 两条对角线相等的四边形是矩形
C . 两条对角线互相垂直的矩形是正方形
D . 两条对角线相等的菱形是正方形
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8.
估计
![](//tikupic.21cnjy.com/54/93/54938e9b395bc36b0e5842901ef3e4ba.png)
的值在( )
A . 在1和2之间
B . 在2和3之间
C . 在3和4之间
D . 在4和5之间
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9.
(2017八上·萍乡期末)
如图是一株美丽的勾股树,其中所有的四边形都是正方形,所有的三角形都是直角三角形.若正方形A,B,C,D的边长分别是3,5,2,3,则最大正方形E的面积是( )
![](//tikupic.21cnjy.com/10/8e/108e80a8765163919568737a4a9f45c2.png)
A . 13
B . 26
C . 47
D . 94
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10.
如图,菱形ABCD的面积为120
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ec%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,正方形AECF的面积为50
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ec%3C%2Fmi%3E%3Cmsup%3E%3Cmi%3Em%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsup%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,则菱形的边长为( )
![](//tikupic.21cnjy.com/6e/6f/6e6fe07b11f58f418c96b8f0e6c8bf08.png)
A . 12cm
B . 13cm
C . 14cm
D . 15cm
二、<table border=0 cellspacing=0 cellpadding=0 > <tr > <td > <p><b >填空题</b></p> </td> </tr> </table>
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12.
已知直线
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ey%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E2%3C%2Fmn%3E%3Cmi%3Ex%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
向上平移一个单位长度后得到的直线是
.
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14.
如图,在正方形ABCD中,E是AB上一点,BE=2,AE=3,P是AC上一动点,则PB+PE的最小值是
.
![](//tikupic.21cnjy.com/0f/ec/0fec1bce7e111442fc066e88d5d330f6.png)
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15.
如图,在△ABC中,AB=10,∠B=60°,点D、E分别在AB、BC上,且BD=BE=4,将△BDE沿DE所在直线折叠得到△B′DE(点B′在四边形ADEC内),连接AB′,则AB′的长为
.
![](//tikupic.21cnjy.com/6d/67/6d67dfe4bbfe6c085982f889c80b9b54.png)
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16.
在平面直角坐标系中,直线l:
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ey%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3Ex%3C%2Fmi%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
与x轴交于点A
1 , 如图所示依次作正方形
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EC%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmi%3EO%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
、正方形
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EC%3C%2Fmi%3E%3Cmn%3E2%3C%2Fmn%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EC%3C%2Fmi%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
、…、正方形
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EA%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EC%3C%2Fmi%3E%3Cmi%3En%3C%2Fmi%3E%3C%2Fmsub%3E%3Cmsub%3E%3Cmi%3EC%3C%2Fmi%3E%3Cmrow%3E%3Cmi%3En%3C%2Fmi%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmn%3E1%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,使得点A
1、A
2、A
3、…在直线l上,点C
1、C
2、C
3、…在y轴正半轴上,则点
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmsub%3E%3Cmi%3EB%3C%2Fmi%3E%3Cmrow%3E%3Cmn%3E2017%3C%2Fmn%3E%3C%2Fmrow%3E%3C%2Fmsub%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
的坐标是
.
![](//tikupic.21cnjy.com/29/5f/295f8e2f2d212ad95e9fb753df13e29d.png)
三、<table border=0 cellspacing=0 cellpadding=0 > <tr > <td > <p><b >解答题</b></p> </td> </tr> </table>
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17.
计算:
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18.
已知正比例函数y=kx图象经过点(3,-6),求:
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(2)
判断点A(4,-2)是否在这个函数图象上.
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(3)
图象上的两点B(x1 , y1)、C(x2 , y2),如果x1>x2 , 比较y1 , y2的大小.
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19.
如图,在四边形ABCD中,已知AB=3,BC=4,CD=12,AD=13,∠B=90°.求四边形ABCD的面积.
![](//tikupic.21cnjy.com/35/fb/35fb2b154842432381f3cd1f6542273e.png)
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20.
如图,点E是▱ABCD 边AD上一点,请你只用一把没有刻度的直尺,在BC边上确定一点F,使得CF=AE,请画出示意图,并用你学过的知识验证CF=AE。
![](//tikupic.21cnjy.com/fe/2e/fe2e93bdccc7d6144a6d80c8fa2308e3.png)
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21.
如图,在△ABC中,∠ACB=
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E90%3C%2Fmn%3E%3Cmo%3E%C2%B0%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,D,E分别为AC,AB的中点,BF∥CE交DE的延长线于点F.
![](//tikupic.21cnjy.com/b4/60/b460e58d19d0620f2b9b4f95a750669b.png)
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(2)
当∠A=
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmn%3E30%3C%2Fmn%3E%3Cmo%3E%C2%B0%3C%2Fmo%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
时,求证:四边形ECBF是菱形.
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22.
已知:在Rt△ABC中,∠C=90°,∠A、∠B、∠C的对边分别为a、b、c,设△ABC的面积为S,周长为l.
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(1)
填表:
三边a、b、c | ![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmi%3Eb%3C%2Fmi%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmi%3Ec%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
| ![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmfrac%3E%3Cmi%3ES%3C%2Fmi%3E%3Cmi%3El%3C%2Fmi%3E%3C%2Fmfrac%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
|
3、4、5 | 2 |
|
5、12、13 | 4 |
|
8、15、17 | 6 |
|
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(2)
如果
![](//math.21cnjy.com/MathMLToImage?mml=%3Cmath+xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmrow%3E%3Cmi%3Ea%3C%2Fmi%3E%3Cmo%3E%2B%3C%2Fmo%3E%3Cmi%3Eb%3C%2Fmi%3E%3Cmo%3E%E2%88%92%3C%2Fmo%3E%3Cmi%3Ec%3C%2Fmi%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmi%3Em%3C%2Fmi%3E%3C%2Fmrow%3E%3C%2Fmath%3E)
,观察上表猜想:
(用含有m的代数式表示).
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23.
如图,P为正方形ABCD的边BC上一动点(P与B. C不重合),点Q在CD边上,且BP=CQ,连接AP、BQ交于点E,将△BQC沿BQ所在直线对折得到△BQN,延长QN交BA的延长线于点M.
![](//tikupic.21cnjy.com/4a/96/4a96de848837f95aab4b5237cb537985.png)
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24.
如图,在矩形ABCO中,点O为坐标原点,点B的坐标为(4,3),点A、C在坐标轴上,点P在BC边上,直线l
1:y=2x+3,直线l
2:y=2x﹣3.
![](//tikupic.21cnjy.com/fa/b9/fab9b128dd3097a57d174d90d15e843a.png)
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(1)
分别求直线l1与x轴,直线l2与AB的交点坐标;
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(2)
已知点M在第一象限,且是直线l2上的点,若△APM是等腰直角三角形,求点M的坐标;