如图,
中,边AB、AC的垂直平分线ED、GF分别交AB、AC于点E、G,交BC于点D、F,连接AD,AF,若
,求
的度数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f096526de0109172bc9dfa915f10ad08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b80f6162fd1dbff226cfcb0f07f5c7.png)
![](https://img.xkw.com/dksih/QBM/2019/4/9/2178671128584192/2179500178423808/STEM/b1d496b8a8b04dc9bdfeeab4f0d6adcd.png?resizew=216)
更新时间:2019-04-10 17:07:22
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解答题-问答题
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【推荐1】如图1,
,
被直线
所截,点
是线段
上的点,过点
作
,连接
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/9/9977db4c-6612-440e-8dbc-2a384e2575b5.png?resizew=533)
(1)求
的度数.
(2)将线段
沿着直线
平移得到线段
,连接
.
①如图2,当
时,求
的度数;
②在整个运动中,当
时,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/066cd386723885c535ea720f5817847a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e932b4add3175358f15be0e1f7104e79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0374c406b563f0d258aa5c2654bbd06e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/9/9977db4c-6612-440e-8dbc-2a384e2575b5.png?resizew=533)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b871a762469393cdd22f15aa49ebb8f9.png)
(2)将线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3525ddc5153fada64eaf14e50b536542.png)
①如图2,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6763b4b9c2996c62342fb2c38a9ba06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595522dfc96cc92f1d84ea0f298bb738.png)
②在整个运动中,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca29f91906d290b43049935111e317d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55c55e7b0ff3bc93399a13fca243886b.png)
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【推荐2】如图,已知AE⊥BC,AD平分∠BAE,∠ADB=110°,∠CAE=20°,求∠BAC和∠B的度数.
![](https://img.xkw.com/dksih/QBM/2021/10/19/2832490711408640/2834705985568768/STEM/c0442822-f468-4ee4-a7c7-149ff8479e83.png)
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解答题-作图题
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【推荐1】使用直尺与圆规完成下面作图,(不写作法,保留作图痕迹,用水笔描黑)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/25/b3c7370c-2590-4c40-b825-43a3d223d2ac.png?resizew=207)
(1)在AB上找一点P使得P到AC和BC的距离相等;
(2)在射线CP上找一点Q,使得QB=QC;
(3)若BC=10,则点Q到边AC的距离为 .
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/25/b3c7370c-2590-4c40-b825-43a3d223d2ac.png?resizew=207)
(1)在AB上找一点P使得P到AC和BC的距离相等;
(2)在射线CP上找一点Q,使得QB=QC;
(3)若BC=10,则点Q到边AC的距离为 .
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解答题-作图题
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【推荐2】已知,如图,Rt△ABC中,
.
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846870513639424/2900210844123136/STEM/88368751-15ba-4d22-a695-c09da8c474ff.png?resizew=246)
(1)按要求作图:(保留作图痕迹)
①延长BC到点D,使
;
②延长CA到点E,使
;
③连接AD,BE.
(2)猜想线段AD与BE的数量关系,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846870513639424/2900210844123136/STEM/88368751-15ba-4d22-a695-c09da8c474ff.png?resizew=246)
(1)按要求作图:(保留作图痕迹)
①延长BC到点D,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a1bf64ba772922fe58b5322eb4bced.png)
②延长CA到点E,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/148f82a4398d1f881489954e0ad96415.png)
③连接AD,BE.
(2)猜想线段AD与BE的数量关系,并证明.
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解答题-问答题
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【推荐1】如图,已知P是射线
上一动点,
,当
为多少度时,
为等腰三角形?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8766d86ecfcfcebe46f37530e929380.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7081dada4c2d7e8b7372637a900dbe21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2b4dcc093218443f71a046b6df94bbe.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/30/32bbd669-f3a5-4686-b6e1-98c2755757d4.png?resizew=250)
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【推荐2】如图,在△ABC中,AB边的垂直平分线l1交BC于点D,AC边的垂直平分线l2交BC于点E,l1与l2相交于点O,连结OB,OC.若△ADE的周长为12cm,△OBC的周长为32cm.
(1)求线段BC的长;
(2)连结OA,求线段OA的长;
(3)若∠BAC=n°(n>90),直接写出∠DAE的度数 °.
(1)求线段BC的长;
(2)连结OA,求线段OA的长;
(3)若∠BAC=n°(n>90),直接写出∠DAE的度数 °.
![](https://img.xkw.com/dksih/QBM/2019/10/25/2319801187180544/2320409949184000/STEM/8c5f9d4950784d63abab9a30352a7ac3.png?resizew=190)
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