2017高三·全国·专题练习
1 . 如图,MN是⊙O的直径,MN=4,点A在⊙O上,∠AMN=30°,B为
的中点,P是直径MN上一动点.
(1)利用尺规作图,确定当PA+PB最小时P点的位置(不写作法,但要保留作图痕迹).
(2)求PA+PB的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e63f752360194aca10417ca1f467ae.png)
(1)利用尺规作图,确定当PA+PB最小时P点的位置(不写作法,但要保留作图痕迹).
(2)求PA+PB的最小值.
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925358351671296/1930322234613760/STEM/4855f3156a374dd999ab1dad1b2dcb41.png?resizew=143)
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2017高三·全国·专题练习
2 . (2017广东广州)如图,平面直角坐标系中
是原点,
的顶点
的坐标分别是
,点
把线段
三等分,延长
分别交
于点
,连接
,则下列结论:
①
是
的中点;②
与
相似;③四边形
的面积是
;④
;其中正确的结论是 __________ .(填写所有正确结论的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e698404fde91350c873592032ea5326.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/098a3e7d1f1890863b7483a98b618119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ec32dae2a8966c629cdaea0cca4d25d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55f18975e22970b8fde117a588d9b681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c87b8e05d61ddc69dbc02772d719d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf33d73483c93f24cc6a1d76ef22ca6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63e36329f5e0979f5ee776ac5d06327.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3c024b213dbe2016bf593071d7856c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f18f78116d37176a4e7a7b5d0764268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82901484b0b4b192cdd45a88c6163aa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3d754c4ad51e4482e12a615d20a13fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0f572db5c9ca057212b60d9c2163e7.png)
![](https://img.xkw.com/dksih/QBM/2018/4/16/1925357956227072/1929155435225088/STEM/e322abc96d32435cbe9db4eb83878547.png?resizew=153)
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