1 . 请在横线上填空:
如图,
,
,
,求
的大小.
作
交
于
______(两直线平行,同位角相等)
(两直线平行,______ )
(已知)
(等量代换)
______
(两直线平行,同旁内角互补)
(等式的性质)
,
______(已知)
______(等式的性质)
(等量代换)
如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd81adb13f5a7550b0f94f770900a613.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ba2098ed6b4137b08932524b72ba37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531373186b828a3086e5a42afb311822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/300d3ec6447250bb25915ae86873929a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1266e55397ea0a81da74b0695800ea8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7acb9c81d265ccbf3e4a3927710304e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef7b7cb4d71ac0919fbe9b3c0d0d1b0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a8a8d74298db10c11b143c98d38a5bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fa4677a30249d8b8ec25a08574e615.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2de0d10ef8b748d4531250c37c5d3f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823d0110ea56117c5ad5115048390516.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a333315265f7d9f3025e271afeb4150.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ee18b72c96b756be4a33d2da8a1b76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573c8a1a7ae7b819caac2e3f1ddfb252.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8afc0b85f3e9abb7199710a79cdcfd1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944a244a981bb7ad6baf5fac799dea4b.png)
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2 . 一次函数
和
的图象如图所示,其交点为
,则不等式
的解集在数轴上表示正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87aba319e62dd0fe1c2db30759a8ded7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdfb50921c7a3ad58debd383d49670ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac8509c7add49863a0bc53f6c3e6dae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1215e5afd55c742d13f9cf03f5c4c654.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 【知识生成】通常情况下,通过用两种不同的方法计算同一个图形的面积,可以得到一个恒等式
如图
,在边长为
的正方形中剪掉一个边长为
的小正方形
把余下的部分沿虚线剪开拼成一个长方形(如图
图
中阴影部分面积可表示为:
,图
中阴影部分面积可表示为
,因为两个图中的阴影部分面积是相同的,所以可得到等式:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31796798e66be985178e0724c0e9c4ce.png)
【拓展探究】图
是一个长为
,宽为
的长方形,沿图中虚线用剪刀平均分成四个小长方形,然后按图
的形状拼成一个正方形.
(1)用两种不同方法表示图
中阴影部分面积:方法
:______,方法
:______;
(2)由(1)可得到一个关于
、
、
的等量关系式是______;
(3)若
,
,则
______;
【知识迁移】(4)如图
,正方形
和正方形
边长分别为
,
,若
,
,
是
的中点,则图中的阴影部分面积的和是______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54e1d0f65817ba32a732040518f41440.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59b4cc13a45c5bdb958e63e4e8cdc474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02896b637acd0f4cc652b76f3dc849ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09ffc1644c7029219b88232145abbdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b36a59bd2f299c64f12eb4cd012918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31796798e66be985178e0724c0e9c4ce.png)
【拓展探究】图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878e89b6eca35e34c863e832a2c661db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18436f0e2391b0ab7537a566fc28204c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
(1)用两种不同方法表示图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(2)由(1)可得到一个关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852e23a0022ffca4e65022de59697c15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d966d2f37a11dc6c1e6fbb411b588fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d26bd6e5455614942759d5354b0c9188.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b0ba5c937b27a27b5ef5ab9e51a935.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf4abae131a50b87fb3018eebebe46a5.png)
【知识迁移】(4)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca257288ebd4229902f616f896967c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/289295fad0d1c11fc74470e8bb0c6be0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/917177a540b592eeeb25174ef26db6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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4 . 化简求值:
(1)
,其中
;
(2)
,其中
,
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583074e2aadc5eb181c2f447c53c1eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ad96a0492c77ae833043352654a98b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eba1c26c25e411d61356a4bf7c9324db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ff06692c025b869a7bcdcff15dca9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d19f95c74f9486638d9d47a0decc20d.png)
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5 . 计算:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/809a334077808975a9a6c248bc8293e7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77b755d720e024a9e7813a86db162592.png)
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6 . 下列所示的四个图形中,
和
是同位角的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5b69d40b75d582c4b8ffa2369af1d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d57899ad4774aed9ccc7bd23db72153.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 解分式方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2497c1cfa2fb84e050ba12877f1fcd84.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2497c1cfa2fb84e050ba12877f1fcd84.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24336befa6a36c86a9d027d77b3ce16.png)
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名校
8 . 已知,
,点
为射线
上一点.
,若
,
,则
_____
;
(2)如图
,当点
在
延长线上时,此时
与
交于点
,则
之间满足怎样的关系,请说明你的结论:
(3)如图
,
平分
,交
于点
,交
于点
,且
,
,
求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/072c4701d354e68a37928902b0ab870f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06960470a4a4e1cfba27107a13ec3e6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee2ef38925946da1145a68651da67da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83873a9d782f2588c5eedbfe73f9bc2f.png)
(2)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcb1f18da9490d118cbb4431a8eef50d.png)
(3)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445d7497f41656d5d3115dafef213972.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/836ea820cf3732508cdd332ceb9395ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42774a918f52ac8aa8b1f5b78a676f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a3ea90c2cccf1736e975e52dab66c92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c7ce1113165cd1d156d303722f99057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78dc633a22560a5fd60dfbe1c0367ff6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9466286aa08bdbd7002bb35ef218a5d.png)
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昨日更新
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11卷引用:广东省广州市天河区华美英语实验学校2023~2024学年七年级下学期第一次月考数学试题
广东省广州市天河区华美英语实验学校2023~2024学年七年级下学期第一次月考数学试题浙江省金衢山五校联盟2023-2024学年八年级上学期9月月考数学试题浙江省宁波市镇海区镇海区尚志中学2022-2023学年七年级下学期期末数学试题(已下线)提高卷-2023-2024学年七年级数学上学期期末模拟卷(福建专版)-【题型分类精粹】2023-2024学年七年级上学期数学期中期末复习讲练系列【考点闯关】(人教版)(已下线)期中解答题压轴必刷-2023-2024学年七年级数学下学期期中考点大串讲(北师大版)(已下线)第1章 平行线压轴大题(4个考点40题专练)-2023-2024学年七年级数学下学期考试满分全攻略高频考点+重难点讲练与测试(浙教版)(已下线)第2章相交线与平行线 全章高频考点专练(4个概念2个判定2个性质2个方法2种思想专练)原卷版重庆市铜梁区铜梁区关溅初级中学校2023-2024学年七年级下学期期中数学试题(已下线)期末真题必刷04(压轴大题60题8个考点专练)-2023-2024学年七年级数学下学期期末考点大串讲(人教版)(已下线)专题07 浙江省各地市七下期末试卷简答题压轴题选练【好题汇编】-备战2023-2024学年七年级数学下学期期末真题分类汇编(浙教版)(已下线)北师大七年级下学期期末真题必刷压轴60题(13个考点专练)-2023-2024学年七年级数学下学期考试满分全攻略高频考点+重难点讲练与测试(北师大版)
9 . 如图,网格坐标系中
三个顶点的坐标分别为
,
,
,图中
,
,
三点都在网格点上,
关于y轴对称的
;
(2)请画出
关于原点对称的
并写出
,
,
的坐标
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5d0de2bf663013e9012e38e8e47068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b79ac97b2bf7252e17c132ea38e3718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98fd6db7cfcdef7deb3f2f73f49ce110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
(2)请画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8ee6e1d480ece7117e1f87ebf4bbeea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828dc8dc7259c510b6d63abf40f60e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
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10 . 先化简,再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f77691827267a64c1068e2f58e02c969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
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