如图,正方形
中,
,点E、F分别在边
上,
,连接
,下列结论:①
;②
平分
;③
的周长为2;④
,其中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192155e6a3aade305b76b1eb7c75e30c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50eb6d12aa7f0922aabf1a26f8eddbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24dfa37067ff455888ebe076eeb1fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ee75a234ac05a3225e49ddd8c5065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ff39c7aa648afd1080206c8080ff79e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a98a115e751208ce4f1bf2ad24c200.png)
A.①② | B.①②③ | C.①③④ | D.②③④ |
更新时间:2024-05-08 16:31:18
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【推荐1】勾股定理又称毕达哥拉斯定理、商高定理、百牛定理,是人类早期发现并证明的重要数学定理之一、如图,在
中,
,以
各边为边向外作正方形
、正方形
、正方形
.连接
、
、
,若
,
,则这个六边形
的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd967903ed5a6f640a5b801ec8be0070.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7e4fa04825ac7d071968056322d88be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d727725fb5f6f8f2aedcd1af76c6c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a264db655ec6e6e908989bd0bf1baf8.png)
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A.28 | B.26 | C.32 | D.30 |
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【推荐2】如图,正方形
的边长为
,两条对角线
、
相交于点
,
、
分别为
、
上的动点,且满足
,连接
、
、
,
为
的中点,连接
.有如下结论:①
;②
为等腰直角三角形;③
;④四边形
周长的最小值为
.其中一定成立的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdc9f4a99b567a6ee4be3943beeddca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
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A.1 | B.2 | C.3 | D.4 |
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【推荐1】如图,在正方形
中,E是对角线
上一点,且满足
.连接![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
并延长交
于点F,连接
,过B点作
于点G,延长
交
于点H.在下列结论中:①
垂直平分
;②
;③
;④
;⑤
,其中正确的结论有( )个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1ac3ab8d3ce5e61fd2f89761f80976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
并延长交
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
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A.2 | B.3 | C.4 | D.5 |
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【推荐2】如图,在正方形
中,
是
上一动点,
是
的中点,
绕点
顺时针旋转90°得
,连接
,
,
.下列结论:①
;②
;③
;④
;⑤若正方形的边长为4,则点
在射线
上运动时,
有最小值
.其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/14/ef7179ff-5301-4f70-889a-f471a9493449.png?resizew=165)
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A.2个 | B.3个 | C.4个 | D.5个 |
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