1 . 四边形ABCD内接于⊙O,
,对角线AC、BD相交于E点.
.
①求证:
∽
;
②求
的值.
(2)如图2,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e735a28578ba191da6d4f3b0f8e8729.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b38cb02ffb6d8ff5b8cf64370aa8635f.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0005e1ef60f6ddc5f9a83e3de1ef3b2e.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f7c1fd715395858fef59913b8d9262.png)
(2)如图2,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b179029a5e4b5ab5210f522544e49d.png)
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2 . 如图,在正方形
和正方形
中,
,
,将正方形
绕点
旋转,连接
,当
最大时,则
的长为 _______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070bc896d35495237fd65576e9b6f88e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8d0e8404f347a0eb4c76f4d25d9bdac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5af342d3b871ace448ccc7c648528288.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
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3 . 如图,在边长为1个单位长度的小正方形组成的网格中,给出了两个格点
和
(顶点是网格线的交点),已知
和
成中心对称.
(2)将
经过怎样平移,可与
组成平行四边形?在正方形网格中画出能组成的平行四边形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72cb97395ebc5ee1b212afb7a97b985c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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4 . 如图,在
中,
,
,P为
内一点,分别连接
.当
时,
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dfc82aac8d4edc604f5106baeef021.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7aeb2a8d1437eeb4482c3b6ad9f315.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19bb1063e139610045f3bca5ca0b2766.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6033a83f1a547b53e11c237c5a74f17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed53a398b1d6b7b4abbb43a9abcf1f.png)
A.2 | B.![]() | C.![]() | D.![]() |
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5 . 如图,在矩形ABCD,AB=1,BC=2,
为线段BC上的一动点,且和B,C不重合,连接PA,过点P作PE⊥PA交CD于E,将△PEC沿PE翻折到平面内,使点C恰好落在AD边上的点F,则BP长为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/24/ea0f28db-0ec9-4b47-88d4-9bda6ba0d1b9.png?resizew=175)
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6 . 如图,在矩形
中,
是
的中点,将
折叠后得到
,延长
交
于点
,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/5138d74b-a787-4146-8377-5eaadabc9a0a.png?resizew=176)
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48cc49beb8b3c8fbb29e69f31e2030c5.png)
________ ;②若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4c0e9fcd7ddeccd70754aa758aad70.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e742966e3711cfa53dce04022acf4bcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37dcb0289f28b8e5c6aa8e9c1adb804b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06e322e0c87479bba874db9ae9ba36b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e507b71f45a50bf08b2e0894fed1d7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/5138d74b-a787-4146-8377-5eaadabc9a0a.png?resizew=176)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48cc49beb8b3c8fbb29e69f31e2030c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3362a45b72536c714c5107b0ae94f1c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4c0e9fcd7ddeccd70754aa758aad70.png)
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7 . 如图,在
中,
为
的角平分线,将线段
绕点
顺时针方向旋转使点
刚好落在
的延长线上的点
处,此时作
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/121491d3-0e61-495b-9710-cb416923672e.png?resizew=212)
(1)求证:
;
(2)求证:
;
(3)若
,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7018c4694e634448e2480b0de7dc8a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d7cce4c2fe0717b72987226628f3528.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/121491d3-0e61-495b-9710-cb416923672e.png?resizew=212)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f954855744e0a096adec767545ae3d3.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148def1286d8600dccd565132761575e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76a31d25188ad7e6d0cca77a2d7a465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
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8 . 如图,观察①、②、③的变化规律,则第④张图形应为( )
![](https://img.xkw.com/dksih/QBM/2021/4/1/2690359125655552/2691746811912192/STEM/16dbc7c0fd3947dd9f1d4d2f4ae2f868.png?resizew=479)
![](https://img.xkw.com/dksih/QBM/2021/4/1/2690359125655552/2691746811912192/STEM/16dbc7c0fd3947dd9f1d4d2f4ae2f868.png?resizew=479)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
9 . 台球运动已有五、六百年的历史,参与者用球杆在台上击球.若和光线一样,台球在球台上碰到障碍物后也遵从反射定律如图,有一张长方形球台ABCD,
,现从角落A沿角
的方向把球打出去,球经2次碰撞球台内沿后进入角落C的球袋中,则
的值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/3d03927d-be48-42f7-b96d-83e6dba3f840.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c4e4a162f12d12a082b8d8fdd1aeab9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc9750c313ee972124cb62c4a6fb7ea.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/3d03927d-be48-42f7-b96d-83e6dba3f840.png?resizew=136)
A.![]() | B.![]() | C.1 | D.![]() |
您最近一年使用:0次
2020-06-29更新
|
1130次组卷
|
16卷引用:河北省东光县第一中学2021-2022学年高二上学期第一次月考(9月)数学试题
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