如图,正方形
中,
为
的中点,
为
上一点,且
.求证:
.
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc01601f95f84bc1cfcbbf5dbdc86028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86f0743c33f3a8a7cae0e1c8a28be0e4.png)
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804338423619584/2804545334304768/STEM/a9f677ad-2176-4561-92e6-aca9369a4121.png)
更新时间:2021-09-09 19:25:00
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解答题-问答题
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【推荐1】如图:四边形
中,
,
,
,且
于
.
![](https://img.xkw.com/dksih/QBM/2021/7/9/2760738678751232/2817266993528832/STEM/798a33c3-56ab-498a-9bf6-ad99a6275446.png)
(1)连接
,求
的度数;
(2)四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a087b5338d5297e911f02f0c913f0dec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2395720e6d6aeb7efdcd8e921849acf4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e3b3d73ff96882a0fb4d025ecc5669d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9b23b5f8eb170bde1008225a7cfbd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://img.xkw.com/dksih/QBM/2021/7/9/2760738678751232/2817266993528832/STEM/798a33c3-56ab-498a-9bf6-ad99a6275446.png)
(1)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5157b42da58d55daad27d98b2fec15ff.png)
(2)四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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【推荐2】如图,平行四边形
的对角线交于点
,若
,
,
,求
的长
![](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/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11c85409e4c685f7dbadae2de3cf9a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1682d306c38087d9e6f7efb9cec596a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2021/4/26/2708245158084608/2711142476726272/STEM/169fe8ef-97b9-4a22-b506-cc7f4fab41aa.png?resizew=230)
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解答题-证明题
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(0.85)
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【推荐1】如图,在正方形ABCD中,E、F分别是边AD、CD上的点,AE=ED,DF=
DC,连接EF并延长交BC的延长线于点G.
(1)求证:△ABE∽△DEF.
(2)若正方形的边长为8,求FG的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d266a04f3dc7483eddbc26c5e487db.png)
(1)求证:△ABE∽△DEF.
(2)若正方形的边长为8,求FG的长.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/41ebaf66-3626-4bc9-951d-a1006881e6a2.png?resizew=261)
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解答题-证明题
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较易
(0.85)
【推荐2】如图,在正方形
中,点E、F分别是边
、
上的点,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f805768a5ffaf8bdfa4bc3b680aafdc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b9b11f2ea112fff1885811bd5bc73cc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/25/aca54db7-7150-4282-b4fc-73c057e77480.png?resizew=144)
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