作图:如图
作出一点P,使点P到点A、点B的距离相等,且到
两边的距离相等.(要求:尺规作图,不写做法,保留作图痕迹)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bd3724385f98a2415ba27f8df4c31d0.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/24/ebb9add9-1123-4b6e-9925-ce1d0a9c8aa1.png?resizew=243)
更新时间:2023-01-20 07:01:13
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解答题-证明题
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【推荐1】如图,
于点
于点
与
交于点
,并连接
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/71952496-7366-4855-b865-6fcfe15eafcd.png?resizew=205)
(1)求证:
平分
.
(2)若
,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d320f180419175d75eebc618cc458b39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e82bf95f610e913faf9bc00ab1928c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9289bfc49ba4165089dbede16813bbd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1e58563f64b399a31ca1b3a3707708b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/28/71952496-7366-4855-b865-6fcfe15eafcd.png?resizew=205)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2bff8008dea938bbebce181a2133fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解答题-证明题
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【推荐2】如图,在
中,
,作
的垂直平分线,交
于点D,交
于点E,连接
,则
平分
.请证明这一结论.你有几种证明方法?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
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解答题-作图题
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名校
【推荐1】如图,在平行四边形
中,
.
(1)作出
的平分线交
于点 E (尺规作图,保留作图痕迹,不写作法);
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795b8f51f02284875d5c9020dd4864a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/042d7e654762fa9f0b06442427d2ec74.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/2/7795a6be-537b-4749-b11b-41cc6fb5f541.png?resizew=228)
(1)作出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4da037fe7fa1dff1116c17df53a99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b946ab7e709bc126c34c90e08f36ca.png)
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【推荐2】如图,已知
,
(1)求作:
的内部到角的两边距离相等的一点P;
(2)作射线
;
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![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/23/8ba4d1c9-dc3f-4bb2-a6d8-6a9962f3ef96.png?resizew=152)
(1)求作:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
(2)作射线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
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【推荐1】已知抛物线与x轴交于
,
两点,与y轴交于点
.
(1)求抛物线的表达式.
(2)若在坐标平面内存在点G,使得点G到A,B,C三点的距离都相等,请求出点G的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2375a27ead9549550676d4e6a2b47243.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1dae05f42110fde12a61fca98bc408.png)
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(1)求抛物线的表达式.
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解答题-问答题
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【推荐2】如图,平面上的四边形
是一个“风筝”的骨架,其中
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(1)九年级王云同学观察了这个“风筝”的骨架后,他认为四边形
的两条对角线
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,并且
,你同意王云同学的判断吗?请说明理由.
(2)设对角线
,请用含
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的面积.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfc1f76257275ab4b04f9bc913535670.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad730736a2951a83c1a2aaf5d860f3a1.png)
(2)设对角线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f5ce2d1e882acc5b10d335305f5c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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解答题-作图题
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【推荐1】如图,已知△ABC,利用尺规在BC上找一点P,使得△ABP与△ACP均为直角三角形(不写作法,保留作图痕迹)
![](https://img.xkw.com/dksih/QBM/2019/6/13/2224591295561728/2225394189754368/STEM/a30ae84e325e48539dda9b02a3ccc491.png?resizew=158)
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【推荐2】已知:如图,直线AB及其上的一点P.用直尺和圆规作直线MN,使得
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