如图,正方形
中,
、
相交于点
,
是
边上的一点,且
,连接
、
、
,线段
、
分别交对角线
、
于点
、
.过点
作
.交
的延长线于
.下列结论中:①
;②
;③
;④
其中正确的结论有( )
![](https://img.xkw.com/dksih/QBM/2021/5/8/2716620484075520/2720999503716352/STEM/f141dacd-9610-45a4-bc51-38e038aa6692.png?resizew=228)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6c969b76104c10c13741a1b06d58d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d68f0fe764244b90d2323b12171534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e541262b1010f8ea468ae8669f8ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75d7b7273832c532242c99035a929836.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c283aa4c26cfb155a70dcfcfca72d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474bda712385deba34fa55e5fa72d43b.png)
![](https://img.xkw.com/dksih/QBM/2021/5/8/2716620484075520/2720999503716352/STEM/f141dacd-9610-45a4-bc51-38e038aa6692.png?resizew=228)
A.1个 | B.2个 | C.3个 | D.4个 |
更新时间:2021-05-14 18:30:34
|
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【推荐1】等腰△ABC中,AB=AC,以腰AB为直径的圆O,与底边BC交于P,若圆O与腰AC的交点Q关于直线AP的对称点落在线段OA上(不与端点重合),则下列说法正确的是( )
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【推荐2】如图,已知半圆
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A.7 | B.6 | C.5 | D.4 |
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【推荐1】如图,反比例函数
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,那么点B坐标为( )
![](https://img.xkw.com/dksih/QBM/2021/6/24/2749978583728128/2750499911483392/STEM/a0a64d99-42b6-4d25-b624-72f3e2bb1392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49d34012ddf68fb981eb4975ac99b9.png)
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名校
【推荐2】如图,在边长一定的正方形ABCD中,F是BC边上一动点,连接AF,以AF为斜边作等腰直角三角形AEF.有下列四个结论:
①
;
②四边形AFCE的面积是定值;
③当
时,E为△ADC的内心;
④若点F在BC上以一定的速度,从B往C运动,则点E与点F的运动速度相等.
其中正确的结论的个数为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/4/17abbad0-5277-450b-8dc7-922c91731d9e.png?resizew=162)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0db5739574557d33d313484f295bd2d8.png)
②四边形AFCE的面积是定值;
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b8609258652778f3b498e16f25b53cf.png)
④若点F在BC上以一定的速度,从B往C运动,则点E与点F的运动速度相等.
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![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/4/17abbad0-5277-450b-8dc7-922c91731d9e.png?resizew=162)
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解题方法
【推荐1】如图,
内接于
,
,
,点
为弧
上一动点,
直线
于点
.当点
从点
沿弧
运动到点
时,点
经过的路径长为( )
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