如图,在
中,E为边CD上一点,F为AD的中点,过点A作
,交EF的延长线于点B.
(1)求证
;
(2)若
,
,求CD的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10df84d553a8826a7ce9bff4bf0d95b9.png)
(1)求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d149ad9d51dfc4533dcacddcad0ce72.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d649afbddd907f0dfec1420f02f82fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a39a01bcf7a92ca97b72b680a0dce4.png)
![](https://img.xkw.com/dksih/QBM/2021/1/14/2636020470333440/2636828098207744/STEM/cbccdd78-f54c-4e40-a2fe-a0014aa9980b.png?resizew=319)
更新时间:2021-01-15 20:23:24
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【推荐1】如图,已知:AB∥EF,AE=AC,∠E=65°,求∠CAB的度数.
![](https://img.xkw.com/dksih/QBM/2011/12/5/1573296830218240/1573296850935808/STEM/ad22b888-f77c-4baa-960c-e6f18d3fd313.png)
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解答题-证明题
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【推荐2】回答下列问题:
(1)填空(在括号中注明理由):如图1所示:
,试说明
.
(______________________)
∴
,
(______________________)
∵
(______________________)
∴
(______________________)
(2)如图2所示,
,试说明
.
(1)填空(在括号中注明理由):如图1所示:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee73452ee4d5437f1399f1235b95e55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c92dcd937763cff6e055a3e14391ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee73452ee4d5437f1399f1235b95e55f.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22de80da8a2d46b08a5c0f75c87ed36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96dc0c42bfc024c1be6c4dd309d49bb9.png)
∵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60d55ed798df30cf1d44d59920474ea8.png)
∴
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c92dcd937763cff6e055a3e14391ab.png)
(2)如图2所示,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0fff774b4b0087a6f304ce930d359be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e672231ec121e6fe99f3dc5f5e642493.png)
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【推荐1】如图,
,
,
,
,垂足分别是
,
.
(1)求证:
;
(2)猜想线段
,
,
之间具有怎样的数量关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7920d2550a6af7df3db60a33fe02c53b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d9b83f3c224fc8e10a46ab71530c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/11/5a4bab0f-0291-4ddb-94bc-605e24c72f70.png?resizew=202)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e57c76abca2467af86f45da0fec08cb.png)
(2)猜想线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
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【推荐2】如图,∠1=∠2,∠A=∠B,AE=BE,点D在边AC上,AE与BD相交于点O,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/528fa89492fc43b433557508fff7a19a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/12/bde7879f-d99d-4844-9157-8f7a62eac1c7.png?resizew=155)
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