如图,在四边形ABCD中,AB∥CD,∠BCD的平分线与BA的延长线相交于点E,BH⊥CE于点H,求证:CH=EH.
![](https://img.xkw.com/dksih/QBM/2021/12/23/2878910074634240/2880343228522496/STEM/0b42d996-cde7-4a36-8cc3-f104e11ac352.png?resizew=152)
更新时间:2021-12-25 21:36:12
|
相似题推荐
解答题-问答题
|
适中
(0.65)
【推荐1】如图,已知射线
及射线外一点
,点
是射线
上一动点
(1)请在图1中找出点
运动到何处时,
长度最小,并说明理由;
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/29/70d13b28-52fb-4401-a07d-e7b1f2df99a7.png?resizew=156)
(2)在(1)的条件下,连接
,过点
作
的平行线
,如图2.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/29/d9cc1f28-6e18-4f11-b972-48b6c608c81b.png?resizew=170)
①若
,则
______度,
______度;
②若
,则
______度,
______度;
(3)受此启发,小明终于明白了:“无论点
运动到任何位置,三角形
的内角和始终为180°”的道理,请你借助图3帮他说明其中的道理.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(1)请在图1中找出点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/29/70d13b28-52fb-4401-a07d-e7b1f2df99a7.png?resizew=156)
(2)在(1)的条件下,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/29/d9cc1f28-6e18-4f11-b972-48b6c608c81b.png?resizew=170)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d6286a4689ba0c3b3bdd9358855266.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c490f20700a16263deb94858c17df808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5961764f4c33ea249a94a3a03818549d.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fd465973943bcd766b5275ee204bbf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c490f20700a16263deb94858c17df808.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5961764f4c33ea249a94a3a03818549d.png)
(3)受此启发,小明终于明白了:“无论点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4d781525777c7b5284dffc70b2a28a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/29/d4bb5c17-3928-4027-aebb-626d8c504ff9.png?resizew=198)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】如图,已知四边形ABCD是平行四边形,∠BCD的平分线CF交AB于点F,∠ADC的平分线DG交边AB于点G.
(1)试说明AF=GB;
(2)请你在已知条件的基础上再添加一个条件,使得△EFG为等腰直角三角形,并说明
理由.
(1)试说明AF=GB;
(2)请你在已知条件的基础上再添加一个条件,使得△EFG为等腰直角三角形,并说明
![](https://img.xkw.com/dksih/QBM/2017/4/7/1660613728722944/1662750350196736/STEM/b0974129dc9a4aaf8156fc2ff5ab48fc.png?resizew=2)
![](https://img.xkw.com/dksih/QBM/2017/4/7/1660613728722944/1662750350196736/STEM/3fb4f8a824ab4ec9949429419d294561.png?resizew=159)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐1】在矩形
中,点
是
上的一动点,
平分
,交
于点
,交
于点
,连接
.
(1)如图(1),若
,求证:
;
(2)如图(2),当点
是
的中点,
时.
①求证:
;
②求
的值.
![](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/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e7106619c08f2bcc1d21f846e8a0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/11/ee235f15-d746-411f-997f-3315a7d620dd.png?resizew=429)
(1)如图(1),若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bce726bceb02452bb4e5ed6b00fa94e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2291de85a2a29ff360a4515cce99c804.png)
(2)如图(2),当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53c51c25b65a37b676ae3c3b71c29f9b.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08f66f5efdb68ef98abb8d232b54b0c9.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0255ce3e1ba26fca432dd4e3de6b1e.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】如图,在
中,CD⊥AB于点D,E为BC上一点,AE交CD于F,且
.
.
(2)若∠AFD=45°,∠BAC=75°,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3929d143504d5e6de660089a9c9ca8d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f5dc11efe60b4fd9a13b1d6b83842.png)
(2)若∠AFD=45°,∠BAC=75°,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c406e7d1e7977dd5b30ef81cfdc8e8d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次