如图,等腰直角三角形
,
,直角顶点B在直线PQ上,且
于D,
于E.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/76529011-136a-4d86-8b0e-63d4220d15f5.png?resizew=333)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/2262913c-0b41-46c0-af22-65a6c31cc75f.png?resizew=210)
(1)①
与
全等吗?为什么?
②图1中,
、
、
有怎样的等量关系?说明理由.
(2)将直线PQ绕点B旋转到如图2所示的位置,其他条件不变,那么
,
,
有怎样的等量关系?直接写出结论,不需要说明理由.
(3)如果三个角不是直角,那结论是否会成立呢?如图,将条件改为:在
中,
,D、A、E三点都在直线l上,并且有
,请问线段
、
、
存在什么关系?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63dee45a1084de33934b9abb6bed96ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf06e109765a70801b7a492b79b125a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5e804276d2ae1618b8e3eaa116c9fc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/76529011-136a-4d86-8b0e-63d4220d15f5.png?resizew=333)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/27/2262913c-0b41-46c0-af22-65a6c31cc75f.png?resizew=210)
(1)①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90facbb352824b574ccb9ce1ef74a4b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28245fc8a796c31bfca6debddfe54f43.png)
②图1中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(2)将直线PQ绕点B旋转到如图2所示的位置,其他条件不变,那么
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
(3)如果三个角不是直角,那结论是否会成立呢?如图,将条件改为:在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/854f480c60b88b546cb15d3b5622e212.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1816fb0bed72025e79aa4b7185055ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/409dc187de76b4ef2fd024ff79308f88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
更新时间:2022-10-13 15:45:52
|
相似题推荐
解答题-证明题
|
适中
(0.65)
名校
【推荐1】如图,点C在线段
上,
平分
.
;
(2)若
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc71ce396355ebb467abe62fb051439b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1384d0a02d097ac7aa8a19e8da6f9767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba1b833268486fff262ee55ede02d9e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db90534e7b21d433574f9edb2a12eacf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0acc93490a6a784eb62201d93dd93d.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】证明:等腰三角形
的两底角
的平分线
相等.(先补全图形,再完成证明)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ac5e13622afab5e9f8603afe42356.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c52440b2070b40ca93941b764aa1a8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77804b69fbb2480283ce1c0747d8b46.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/24/91c9d2c3-b62b-4a51-afd9-c20249c1c72b.png?resizew=110)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐1】如图,是
的直径,
与
相交于点E,过点D的切线
,交
的延长线于点
,
.
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e8c257f5615d30660cef4157c6b273.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cb8ea92740d49ee45b55508d66dfff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
您最近一年使用:0次