1 . 如图所示,在
中,
,根据尺规作图的痕迹,可以判断以下结论错误 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f76899b3a0bfbbdae7cb1148ad4bf018.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2 . 如图,在正方形
中,
,
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/5/9aa4a56f-f2a7-41c4-8b34-045eff34dc23.png?resizew=134)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff56ea00ca90825f3d95809de24f639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6db893d75c0c86224fd5b1e6dc9e4b08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d63783f365e666ace307cadcaba60fa.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/5/9aa4a56f-f2a7-41c4-8b34-045eff34dc23.png?resizew=134)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 如图,
中,
,
,
,
平分
,则点
到
的距离是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/808fefa4-ae3e-4c22-b71f-73ff70b9ddad.png?resizew=132)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/808fefa4-ae3e-4c22-b71f-73ff70b9ddad.png?resizew=132)
A.3 | B.4 | C.2![]() | D.![]() |
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4 . 如图,在矩形纸片
中,
,
,M是
上的点,且
,将矩形纸片
沿过点M的直线折叠,使点D落在
上的点P处,点C落在点
处,折痕为
,当
与线段
交于点H时,则线段
的长是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/2b3b4b41-d695-45cd-8029-1ddec6130192.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59efa8fd3ef37ad668263448608fb6b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57b2c928c267d3fb111dabfda8235c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7096fdcee49451970e84214dee5c2e5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/11/2b3b4b41-d695-45cd-8029-1ddec6130192.png?resizew=151)
A.3 | B.![]() | C.4 | D.![]() |
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5 . 在数学活动课上,小明提出这样一个问题:如图,
,点
是
的中点,
平分
,则下列说法中正确的有( )个
(1)
平分
;(2)
;(3)
;(4)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/60bc70b0-538b-427e-84b6-110edcc749cb.png?resizew=140)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d8397018b0a01a1b4e9574604f9e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3981e7286d41960daf4e110c1c84e03a.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189a0821a0ffab9dc171ecd279ba442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd07e39556a55410db6f7e6b60d6782.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6feb71636e2e0482de54134eadad0ec8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d5427b7b994b860628df3d6b7a07de8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/9/60bc70b0-538b-427e-84b6-110edcc749cb.png?resizew=140)
A.1 | B.2 | C.3 | D.4 |
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6 . 如图,
,点
为
的平分线上的一个定点,点A,B分别为边
,
上的动点,且
,则以下结论中:①
;②
为定值;③四边形
的面积为定值;④四边形
的周长为定值.正确的个数为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac144685e50009fa7c9233d85e8bd85b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27935c1ef4df2d52ac697678a3c8f39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b15b82151bff7cc0238d2034a6129f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63e4d19bf237a6fca67e0d01a9ddb726.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/275c4dc4b6c9f95820ef6fe62a53facd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e902eb263971b466d0fcd91c56b453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14e902eb263971b466d0fcd91c56b453.png)
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7 . 如图,在
中,
,
,
于点D,
平分
交
于点E,交
于点G,过点A作
于点
,交
于点
,下列结论:①
;②
;③
;其中正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/3247d8b4-cf65-4900-8ce7-5b1dcbe01c41.png?resizew=178)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/187ed13a7bd532bd39af5e5ad7493a2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4652c9a4ccc6cb42acfa7d443e98f4ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff56ea00ca90825f3d95809de24f639.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c828658073c1b8dc3442be6e0b83fb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/21/3247d8b4-cf65-4900-8ce7-5b1dcbe01c41.png?resizew=178)
A.①② | B.②③ | C.①②③ | D.①③ |
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8 . 如图,
中,
、
的角平分线CP、AP交于点P,延长BA、BC,
,
.则下列结论中正确的个数( )
①BP平分
;②
;③
;③
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/98bdf91d-b9e2-40bf-8760-00833d5ae9a2.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752fa646a2d9cfca34001748445301c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6344778ed1e75c1a99e2268468081867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5639ef03056c2a67e9c48069155ffd3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474bb079b2dcafdc5ceb83f65e7eeba4.png)
①BP平分
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5075e280515473cbdf82a0ed9dc48bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5629c01c93679b89e31987a39c38432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be44b974d5a9afd53f1f5dcdba9fe688.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/98bdf91d-b9e2-40bf-8760-00833d5ae9a2.png?resizew=136)
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9 . 如图,D为△BAC的外角平分线上一点并且满足BD=CD,过D作DE⊥AC于E,DF⊥AB交BA的延长线于F,则下列结论:
①△CDE≌△BDF;
②CE=AB+AE;
③∠BDC=∠BAC;
④∠DAF=∠ACD.
其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/14/f7718ec9-05e1-48c3-8488-0e5f8dd6b0eb.png?resizew=154)
①△CDE≌△BDF;
②CE=AB+AE;
③∠BDC=∠BAC;
④∠DAF=∠ACD.
其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/14/f7718ec9-05e1-48c3-8488-0e5f8dd6b0eb.png?resizew=154)
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10 . 如图,△ABC中,∠ABC、∠ACN的角平分线BD、CD交于点D,延长BA、BC,作DE⊥AB于E,DF⊥BC于F,点P在BN上,
,则下列结论中正确的个数为( )
①AD平分∠MAC;②
;③若
,则
,④
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/f7c81887-05c4-4d4d-bc9b-978c934f7a76.png?resizew=139)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5130bffda5e4d83915f71eddfec4d237.png)
①AD平分∠MAC;②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af5d0d1332094f679af0c514e2beeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec700fcbf5d6c68622c30c1890bfdac2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bd164ba01b7c70617dff35b658fe15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b3784b81fccef676108671f1acd28.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/27/f7c81887-05c4-4d4d-bc9b-978c934f7a76.png?resizew=139)
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