人教版七年级下《平面直角坐标系》单元测试题

《平面直角坐标系》单元测试题

固本中学七（ ）班学生：

一、选择题（40分）

1．若0>a ，则点P )2,(a -应在 （ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限

2．在平面直角坐标系中，点P )1,1(2+-m 一定在 （ ） A ．第一象限 B ．第二象限 C ．第三象限 D ．第四象限

3．在平面直角坐标系中，线段B C ∥x 轴，则 （ ） A ．点B 与C 的横坐标相等 B ．点B 与C 的纵坐标相等

C ．点B 与C 的横坐标与纵坐标分别相等

D ．点B 与C 的横坐标、纵坐标都不相等 4．若点P ),(y x 的坐标满足0=xy 则点P 必在 （ ） A ．原点 B ．x 轴上 C ．y 轴上 D ．x 轴或y 轴上

5．点P 在x 轴上 ，且到y 轴的距离为5，则点P 的坐标是 （ ） A ．(5,0) B ．(0,5) C ．(5,0)或(-5,0) D ．(0,5)或(0,-5)

6.平面上的点(2,-1)通过上下平移不能与之重合的是 （ ） A ．(2,-2) B ．(-2,-1) C ．(2,0) D ．2,-3)

7.将△ABC 各顶点的横坐标分别减去3，纵坐标不变，得到的△A 'B 'C '相应顶点的坐标，则 △A 'B 'C '可以看成△ABC （ ） A ．向左平移3个单位长度得到 B ．向右平移三个单位长度得到 C ．向上平移3个单位长度得到 D ．向下平移3个单位长度得到 8．线段CD 是由线段AB 平移得到的，

点A(-1,4)的对应点为C(4,7),则点

B(-4,-1)

的对应点D

的坐标是 A ．(2,9) B ．(5,3) C ．(1,2) D ．(-9,-4) 9.如图，把图○1中△ABC 经过一定的变换得到图○2中的 △A 'B 'C '，如果图○1的△ABC 上点P 的坐标是),(b a ，那么这个点

在图○2中的对应点P '的坐标是 （ ） A ．)3,2(--b a B ．)3,2(--b a C ．)2,3(++b a D ．)3,2(++b a

10．点P(2,-3)先向上平移2个单位长度，再向左平移3个单位长度，得到点P '的坐标是（ ） A ．(-1,-5) B ．(-1,-1) C ．(5,-1) D ．(5,5)

二、填空题（40分）

1．在坐标系内，点P （2,－2）和点Q （2,4）之间的距离等于________个单位长度，线段PQ 和中点坐标是____________ 2．将点M(2,-3)向左平移2个单位长度，再向下平移1个单位长度，得到的点的坐标为_______ 3.在直角坐标系中，若点P )5,2(+-b a 在y 轴上，则点P 的坐标为____________ 4．已知点P ),2(a -，Q )3,(b ，且PQ ∥x 轴，则=a _________，=b ___________

5．将点P ),3(y -向下平移3个单位，并向左平移2个单位后得到点Q )1,(-x ，则xy =_________ 6.则坐标原点O （0,0），A （-2,0）,B(-2,3)三点围成的△ABO 的面积为____________ 7．点P ),(b a 在第四象限，则点Q ),(a b -在第______象限

8．已知点P 在第二象限两坐标轴所成角的平分线上，且到x 轴的距离为3，则点P 的坐标为____________

9．在同一坐标系中，图形a 是图形b 向上平移3个单位长度得到的，如果在图形a 中点A 的坐标为)3,5(-，则图形b 中与A 对应的点A '的坐标为__________

10．已知线段AB=3，AB ∥x 轴，若点A 的坐标为（1,2）,则点B 的坐标为_________________ 三、解答题 1．在平面直角坐标系中，将坐标为(0,0),(2,0),(3,4),(1,4)的点用线段依次连接起来形成一个图像，并说明该图像是什么图形。（6分）

2．如图是小明所在学校的平面示意图，请你用适当的方法描述食堂位置。（6分）

3．如图，在平面直角坐标系中，分别写出△ABC

的顶点坐标，并求出△ABC的面积。（12分）

4．如图，三角形PQR是三角形ABC经过某种变换后得到的图形，分别写出点A与点P，点B 与点Q，点C与点R的坐标，并观察它们之间的关系，如果三角形ABC中任意一点M的坐标为

（)

,b

a那么它的对应点N的坐标是什么？（8分）5.在平面直角坐标系中，将坐标为（0，0），（2，4），（2，0），（4，4）的点用线段依次连接起来形成一个图案：

（1）若这四个点的纵坐标若保持不变，横坐标变为原来的

2

1

，将所得的四点依次用线段边境起来，所得图案与原来的图案相比有什么变化？

（2）纵坐标保持不变，横坐标分别加3，所得图案与原来的图案相比有什么变化？

（3）横坐标不变，纵坐标分别加3，所得图案与原来图案相比有什么变化？

（4）纵坐标保持不变，横坐标分别变为原来的2倍，所得图形一原图形相比有什么变化？（10分）

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