如图,在
中,对角线
,
相交于点
,
于点
,
于点
,
.求证:
是矩形.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.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/d320f180419175d75eebc618cc458b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac18b0388014ae20b2add2975ef56aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5138a9f70d5e8b0580e30fef6eb7baef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/13/78958608-347a-4416-8046-0bd13272d1e0.png?resizew=143)
更新时间:2023-10-01 20:00:10
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名校
【推荐1】知:如图所示,点B、F、C、E在同一条直线上,
,
,
.求证:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/439fbb8974a5f907205d26b47b420bf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499c1138294ecfbb0fd556802e08f6a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360ebefca282836247bdbb0d5018879c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/25/c83d198f-adfd-4ae0-873b-524fd69266b6.png?resizew=192)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ca10806fc8c3c3efd6859f526b76900.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/424269ceef173843aae76e39ecdf6111.png)
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【推荐1】已知,如图,在▱ABCD中,点E、F在对角线AC上且AE=CF,请你以F为一个端点,和图中已标明字母的某一点连成一条新线段,猜想并证明它和图中已有的某一条线段相等(只需证明一组线段相等即可),
(2)猜想:_____=_____;
(3)证明:
(2)猜想:_____=_____;
(3)证明:
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【推荐2】已知:如图,平行四边形
中,
,
交于点
,
于点
,
于点
.
求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.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/53c51c25b65a37b676ae3c3b71c29f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac18b0388014ae20b2add2975ef56aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcf2e3236ea30ee2c37928b98041f13a.png)
![](https://img.xkw.com/dksih/QBM/2021/9/13/2807421913178112/2810271474589696/STEM/66be61ba-7afe-4a2f-bede-ab7ecb7ead65.png)
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解答题-证明题
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【推荐1】如图,在
中,
,
为
中点,连接
,在
的左侧有一点
,连接
,
,且
,
.求证:四边形
是矩形.
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e1a6cd95707c57e85eafd43f7b9fbcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7e6363330b33ca9feda927e6ffd3088.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24b0b077bfd3700e78db35bea761ae29.png)
![](https://img.xkw.com/dksih/QBM/2021/5/23/2727458795257856/2759001706078208/STEM/181c5ecc-f6a0-4cde-b151-e0c046e136aa.png)
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【推荐2】如图,四边形ABCD中,AB∥CD,AD∥BC,AB=6,AC=10,AD=8.
求证:四边形ABCD是矩形.
求证:四边形ABCD是矩形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/11/e4a99c88-1829-40de-bac8-8d2c9df68742.png?resizew=132)
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