如图,正方形
的边长为
,延长
至
使
,以
为边长在上方作正方形
,延长
交
于
,连接
,
,
为
的中点,连接
分别与
交于点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28de094a09d1011fccd1d5814d68aad.png)
.则下列结论:①
;②
;③
;④
.其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/2020/7/5/2499226211934208/2500528688898048/STEM/fb8d1917-6467-434b-8e16-261846167ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07dd741bc3f02d8552afbcf63fba4fb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0016a780b64dc21f123dd2a8a6a4d2b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.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/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c83f1f880e5ffbff036953acaca90c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d88e548815a9649070d1cc9a340eec21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d28de094a09d1011fccd1d5814d68aad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/571b4bbb4c1dba524c967b6b572e36ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be95bd6648133e9129d3e4587da6afaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade7a9584d607d148b8d422d93458e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1a8ee9bc3fea003fb1037f8a5ce6cf.png)
![](https://img.xkw.com/dksih/QBM/2020/7/5/2499226211934208/2500528688898048/STEM/fb8d1917-6467-434b-8e16-261846167ccc.png)
A.①② | B.①④ | C.②③ | D.③④ |
更新时间:2020-07-07 06:41:33
|
相似题推荐
单选题
|
困难
(0.15)
【推荐1】到目前为止,勾股定理的证明已超过400种,其中一种简洁易懂方法叫做“常春证法”,即利用面积分割法证得.如图,已知
,
,边
和
分别与
交于点F和点G,连接
.若
的面积为7,且
,则
的值为( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79a8307b29a34350a903498a7777110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21037e170bdbb322558e79c40c00b454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2831f2814eb2224678b5804f7dbb0265.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab17635a999236e8d2e35017a208d.png)
A.![]() | B.3 | C.![]() | D.![]() |
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解题方法
【推荐2】如图,已知像这样由7个全等的正六边形组成的图形叫做“二环蜂窝”,每个正六边形的顶点叫做格点,顶点都在格点上的三角形叫做格点三角形.已知
为该二环蜂窝一个格点三角形,则在该二环蜂窝中,以点A为顶点且与
相似(包括全等但不与
重合)的格点三角形最多能作的个数为( )
![](https://img.xkw.com/dksih/QBM/2021/1/14/2636034507530240/2636933765758976/STEM/7fbb937c81b74055af264245dbc810fd.png?resizew=114)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://img.xkw.com/dksih/QBM/2021/1/14/2636034507530240/2636933765758976/STEM/7fbb937c81b74055af264245dbc810fd.png?resizew=114)
A.18 | B.23 | C.25 | D.31 |
您最近一年使用:0次
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【推荐1】如图,在
中,
,以
的各边为边分别作正方形
,正方形
与正方形
,
与
相交于点H,连接
并延长交
于点P,且
.记
的面积为
,
的面积为
,若
,则
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b60c3b75ff1610956dfe9a9cd7692d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02b1139e07e431b5d4276757b232bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360496a4f5cc8a5faca5e089ae4f9531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2057ede276b7f9b509f9db721d8e52a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3340aadda35051b856218ff40c211ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea4d0727f39f90c063b6b20b9ff4d8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/9/5/0fbe299e-d74d-4a14-9e7b-3990f57c41c1.png?resizew=181)
A.6 | B.![]() | C.8 | D.9 |
您最近一年使用:0次
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【推荐2】如图,在正方形纸片
中,点
为正方形
边上的一点(不与点
,点
重合),将正方形纸片折叠,使点
落在点
处,点
落在点
处,
交
于点
,折痕为
,连接
、
,
交
于点
下列结论:①
是等腰三角形;②
;③
平分
;④
;⑤
,其中正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1ffb98f1e3c1317c0db403d3af04bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/764509115979e9958101808383672ec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6446c4da49caa9ff78282448bfde2e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61182c456ed7b68095a762967ae47744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61182c456ed7b68095a762967ae47744.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6446c4da49caa9ff78282448bfde2e1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4112b68f8be57fd5d4ba05b03bb9ed85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d3a2a48373dd6610c5d0e28be6d51ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f79d7939c88e9702962e5917cad290.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3d7e138a524b349fdcce1c4de933aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d3068ea88454bd271d82a0f1ebdb8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c46f42a969d87f2ca0fa7efca546dbd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/19/85abde80-a1f3-4777-befd-934585558cc9.png?resizew=135)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
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|
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【推荐1】如图,在正方形
中,
,M为
边上一动点,连接
,将线段
绕点M顺时针旋转
得到线段
,连接
.当
的长最小时,
的长为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3f9a5da641be35117fd35ba07a6aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0e65e147b109f2bbfd3a3f502bbc3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99c4909b2a6be11adc93158fb2230e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b342d5cb6dd1c84a82f6aca68ed829c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc3e298b2c864876f01b8674f5137484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6b41d4070854edfaa24071137b314cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1165830b314a0dab65ea267e82bd3f6.png)
A.1 | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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【推荐2】如图,在平面直角坐标系中,直线
分别与
轴、
轴相交于点
、
,点
、
分别是正方形
的边
、
上的动点,且
,过原点
作
,垂足为
,连接
、
,则
面积的最大值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/15a9700b-6866-4138-bc21-d48718d071e2.png?resizew=166)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf20b7d03fc262602588bbc7dd1cab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14c88a2d38002254d1680dabde29e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e46fb91464159b80eab7c28a926b4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4715e1ab43ac75ca033cac8893ec444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184921a45f87423e92cf1e627ad55143.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca14f6100d829f197a5dac5197bbe0b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f584dfa75ec20e4cba4216998b454dd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/15a9700b-6866-4138-bc21-d48718d071e2.png?resizew=166)
A.![]() | B.12 | C.![]() | D.![]() |
您最近一年使用:0次
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【推荐1】如图,已知菱形
的边长为2,对角线
相交于点O,点M,N分别是边
上的动点,
,连接
,则下列结论错误的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/0c4357f7-92bc-4f69-a752-2596acbd1e17.png?resizew=164)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989c75a3fd02e4971cab421c88de92f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8dbf16d3adcc74fbea454665bc66ca5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f20b81526b746d94f6ea1fabba62162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/429b438862a7761f87b3eca15b2116c7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/14/0c4357f7-92bc-4f69-a752-2596acbd1e17.png?resizew=164)
A.![]() | B.![]() ![]() |
C.当![]() ![]() | D.当![]() ![]() |
您最近一年使用:0次
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【推荐2】欧几里得《几何原本》中给出一种证明勾股定理的方法:“直角三角形斜边上正方形的面积等于两直角边上两个正方形的面积之和”.如图,
中,
,四边形
、四边形
和四边形
都是正方形,过点
作
的平行线交
于点
,连接
,
,
.若四边形
的面积是四边形
的面积的5倍,设
与
交于点
,则
的值是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/90b1ffce-6853-4a94-8c06-edb08c2c7259.png?resizew=169)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed85a3f666c0736219766523c13cfc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d54cbbf601f4583659771eb534997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4342db34ee8c281fc39235f80a069bfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9db265776460dfc59018eff906d1c441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d58f9019097bd05037aefd5c322916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d0febbbd5f8a5aff7863c9680f63c3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9d75951cdacd68509973e4770d84bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35d58f9019097bd05037aefd5c322916.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0c845bb8ceaa4caef3af4f1e4366b49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c54e45761e1625ed5f294cb89420e7.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/13/90b1ffce-6853-4a94-8c06-edb08c2c7259.png?resizew=169)
A.![]() | B.![]() | C.![]() | D.![]() |
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