已知点
为
平分线上一点,
于
,
于
,点
,
分别是射线
,
上的点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/8fcea309-27c3-4e9c-8893-9c0947c77217.png?resizew=320)
(1)如图1,当点
在线段
上,点
在线段
的延长线上时,求证:
;
(2)在(1)的条件下,直接写出线段
,
与
之间的数量关系________.
(3)如图2,当点
在线段
的延长线上,点
在线段
上时,若
,且
,求四边形
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e31edc5b71c488ca9942d70d9298f01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aaef9e92d148afff22761d5e027d3ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77a38df73ce8b2b83f8361e0af8d507.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.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/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4acd79bb9fb06f7c806eb6e17e4b613.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/15/8fcea309-27c3-4e9c-8893-9c0947c77217.png?resizew=320)
(1)如图1,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdc9f4a99b567a6ee4be3943beeddca.png)
(2)在(1)的条件下,直接写出线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167d31eb8432b5c0364316e5048c23dd.png)
(3)如图2,当点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86a6b4396164cabd66f2789e73f74ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eea78bf026d76f1cb9cc3dc9349a193.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55af8bd6b46fe59178f38d1b77ebd96.png)
更新时间:2023-01-13 18:55:25
|
相似题推荐
解答题-证明题
|
适中
(0.65)
【推荐1】如图1所示,在△ABC中,∠ACB=90°,AC= BC,直线MN经过点C,且AD⊥MN于D,BE⊥MN于E.
(1)当直线MN绕点C旋转到图2(a)的位置,求证:①△ADC≌△CEB;②DE=AD- BE.
(2)当直线MN绕点C旋转到图2(b)的位置时,求证:DE= BE-AD.
(1)当直线MN绕点C旋转到图2(a)的位置,求证:①△ADC≌△CEB;②DE=AD- BE.
(2)当直线MN绕点C旋转到图2(b)的位置时,求证:DE= BE-AD.
![](https://img.xkw.com/dksih/QBM/2021/2/25/2665659400028160/2671492214317056/STEM/86526f8c-7f90-4a2c-9c86-5eb1abdeb0df.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
【推荐2】在Rt△ABC中,∠ACB=90°,BC=2cm,CD⊥AB,在AC上取一点E,使EC=BC,过点E作EF⊥AC交CD的延长线于点F.若EF=5cm,求AE和CF的长.
![](https://img.xkw.com/dksih/QBM/2019/3/11/2158292676018176/2160429096345600/STEM/4bfa926dbc4e41c8afea1e0ef5f6b296.png?resizew=137)
您最近一年使用:0次
解答题-作图题
|
适中
(0.65)
名校
【推荐1】利用网格线作图:
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/bdab70cd-fc1e-499b-824d-b2121e3b2651.png?resizew=189)
(1)在BC上找一点P,使点P到AB和AC的距离相等;
(2)在射线AP上找一点Q,使QB=QC.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/bdab70cd-fc1e-499b-824d-b2121e3b2651.png?resizew=189)
(1)在BC上找一点P,使点P到AB和AC的距离相等;
(2)在射线AP上找一点Q,使QB=QC.
您最近一年使用:0次
解答题-作图题
|
适中
(0.65)
【推荐2】如图,已知锐角△ABC中,
.
(1)请在图中用无刻度的直尺和圆规作△ABC的内切圆
.(不写作法,保留作图痕迹)
![](https://img.xkw.com/dksih/QBM/2022/1/12/2899878341361664/2900855997153280/STEM/c3ef51d8-def4-48d4-b089-fb0bfd375b44.png?resizew=142)
(2)在(1)的条件下,若
,
,则△ABC内切圆的半径为 .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
(1)请在图中用无刻度的直尺和圆规作△ABC的内切圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://img.xkw.com/dksih/QBM/2022/1/12/2899878341361664/2900855997153280/STEM/c3ef51d8-def4-48d4-b089-fb0bfd375b44.png?resizew=142)
(2)在(1)的条件下,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://img.xkw.com/dksih/QBM/2022/1/12/2899878341361664/2900855997153280/STEM/d4db0b9e-10a7-41c9-afbf-a0e4567dd26c.png?resizew=147)
您最近一年使用:0次