如图,圆与坐标轴分别交于原点O,点A(6,0)和B(0,2),点P是圆上一个动点,点C(0,﹣3),则PC长度的最小值为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/6e113e28-7e4f-4bf8-8b0c-112f657ba389.png?resizew=137)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/15/6e113e28-7e4f-4bf8-8b0c-112f657ba389.png?resizew=137)
A.4![]() ![]() | B.8![]() ![]() | C.2![]() ![]() | D.5﹣![]() |
更新时间:2021-08-26 09:14:36
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【推荐1】如图,点P(3,4),⊙P半径为2,A(2.8,0),B(5.6,0).点M是P上的动点,点C是MB的中点,则AC的最小值为()
![](https://img.xkw.com/dksih/QBM/2019/10/6/2306087653285888/2306714839236608/STEM/9ade976950d04327b2d5132f5aaa7ebd.png?resizew=145)
![](https://img.xkw.com/dksih/QBM/2019/10/6/2306087653285888/2306714839236608/STEM/9ade976950d04327b2d5132f5aaa7ebd.png?resizew=145)
A.14 | B.![]() | C.![]() | D.26 |
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【推荐2】定义:在平面直角坐标系中,对于点
,当点
满足
时,称点
是点
的“倍增点”,已知点
,有下列结论:
①点
,
都是点
的“倍增点”;
②若直线
上的点A是点
的“倍增点”,则点
的坐标为
;
③抛物线
上存在两个点是点
的“倍增点”;
④若点
是点
的“倍增点”,则
的最小值是
.
其中,正确结论的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1185fe2ea3fc2bf6bb3b09dd6b690d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46354969c0613de82c366f1fa5459c4b.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d018a15fb86e6d4dc3082ef8b062b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b78847c6a80fdf0c258607cefc607bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
②若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c31c4f39399ec245a67db2933ed639f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5511a368692de27c58ec48ce968de4a4.png)
③抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/353b27715b12c8020985cee29deffdbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
④若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8676624c2138ea2dc30394bf64da8c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98ee8ce2c56dccae6b63b5a9ca022b8.png)
其中,正确结论的个数是( )
A.1 | B.2 | C.3 | D.4 |
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【推荐1】如图,在⊙O中,AB、AC为互相垂直且相等的两条弦,则下列说法中正确的有( )
①点C、O、B一定在一条直线上;②若点E、点D分别是CA、AB的中点,则OE=OD;③若点E是CA的中点,连接CO,则△CEO是等腰直角三角形.
![](https://img.xkw.com/dksih/QBM/2018/12/23/2102996970962944/null/STEM/bd2b8fce431544c7aaa7fca3dfdff75c.png?resizew=108)
①点C、O、B一定在一条直线上;②若点E、点D分别是CA、AB的中点,则OE=OD;③若点E是CA的中点,连接CO,则△CEO是等腰直角三角形.
![](https://img.xkw.com/dksih/QBM/2018/12/23/2102996970962944/null/STEM/bd2b8fce431544c7aaa7fca3dfdff75c.png?resizew=108)
A.3个 | B.2个 | C.1个 | D.0个 |
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【推荐2】如图,已知A,B,C为
上的三点,且
.点P从点A出发,沿着逆时针方向运动到点B,连接
与弦
相交于点D,当
为直角三角形时,弧
的长为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/c91b2d8c-436e-4fb8-b187-2856c0315a9a.png?resizew=136)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697a4e092104129d7b3ea9bfd389da4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/8/c91b2d8c-436e-4fb8-b187-2856c0315a9a.png?resizew=136)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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