1 . 正方形
,
,
,…按如图所示放置,点
,
,
,…和
,
,
,…分别在直线
和
轴上,则点
的纵坐标是______ ,点
的纵坐标是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4635a4e561d862638f6818e85e74bfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/220a67f3143cc51f6496c874d3ce4f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb95430ad5499ddd5197388b8ed9b5eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04b56e44e4f0424a2b7a45567120a2e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab94459e87c666facddbe1a23ae1899d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ab466aedd6e176088d8dee7bc3e3aaa.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/931743d0b850f1a0b64d44bd0db04eda.png)
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![](https://img.xkw.com/dksih/QBM/2023/1/28/3162757880856576/3164147175489536/STEM/4f5b71ebf2f34faebbc53a22e3371ff3.png?resizew=221)
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2 . 如图,正方形
的边长为6,点E是
的中点,连接
与对角线
交于点G,连接
并延长,交
于点F,连接
交
于点H,连接
.以下结论:①
;②
;③
;④
,其中正确结论是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cc087c22e1fc1197236c71e5465d33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eafa7f72b2b5d9ff45139bf92f75136d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807fca760d71f33be265458d8a2a4ad6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e524d26e326d3af70338d09a5a084ca8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/2/9a2ac24c-0596-4a6c-99f8-00adf89d4664.png?resizew=185)
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3 . 如图,已知大正方形
的面积是25,小正方形
的面积是1,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd3fbb6813205b88df29aa071d99f4f3.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/bd3fbb6813205b88df29aa071d99f4f3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/25/aa130943-ba21-4987-be5a-e6fea0aa7286.png?resizew=103)
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4 . 如图,在等腰直角三角形
中,
,
,边长为2的正方形
的对角线交点与点C重合,连接
,将正方形
绕点C旋转一周,当点A、D、E三点在同一直线上时,
的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08313da7b66283d2e0b3987f3e6761f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2257da1e2425f2ea9ac7440f52659ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/83be81bf-6440-4ea7-9024-2ab64da06ed1.png?resizew=205)
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|
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4卷引用:河南省焦作市孟州市城伯镇中心学校2022-2023学年九年级上学期期末数学试题
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5 . 如图,在边长为
的正方形
中,
、
分别为
与
的中点,一个三角形
沿竖直方向向上平移,在运动的过程中,点A恒在直线
上,当点A运动到线段
的中点时,点
,
恰与
,
两边的中点重合,设点A到
的距离为
,三角形
与正方形
的公共部分的面积为
,则当
时,
的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42887d9bf31c1dd99f13c39e63c9ab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/2/782bf921-62c7-499d-9549-baf6b2b71562.png?resizew=178)
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6 . 正方形的一条对角找把正方形分成____ 个等腰直角三角形,若对角线长为
,则正方形的边长为____ ,面积为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
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7 . 一个小球在如图所示的方格地砖上任意滚动,并随机停留在某块地砖上.每块地砖的大小、质地完全相同,那么该小球停留在黑色区域的概率是______ .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/16/a23a7959-ff27-43db-9c24-eadca7a09001.png?resizew=103)
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|
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8 . 三个正方形方格和扇形
的位置如图所示,点O为扇形的圆心,格点A,B,C分别在扇形的两条半径和弧上,已知每个方格的边长为1,则扇形
的面积为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2935a591c968df92a8cdd2bf09d96452.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2935a591c968df92a8cdd2bf09d96452.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/1321e7bf-91c1-4c49-b339-a648b93384dd.png?resizew=163)
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|
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9 . 如图,四边形
是
的内接正方形,E是
的中点,
交
于点F,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
___________ 度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/494ba20b1444f524cf636961e4688ae8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/8d4784b5-1300-4ec3-8c2d-ddfb4a847100.png?resizew=110)
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名校
10 . 如图,
为半圆O的直径,
,点C为半圆上动点,以
为边向形外作正方形
,连接
,则
的最大值为 _________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa7bbd7831e9ff4f8cffc8889d34f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/14/8cf87666-bd81-412a-917c-e9e5a5bda5a0.png?resizew=248)
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