如图,点A在x轴的正半轴上,以OA为直径作⊙P,C是⊙P上一点,过点C的直线y=
x+
与x轴,y轴分别相交于点D,点E,连接AC并延长与y轴相交于点B,点B的坐标为(0,
).
(1)求证:OE=CE;
(2)请判断直线CD与⊙P位置关系,证明你的结论,并求出⊙P半径的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827ccf0c04aa941ba20d5f4c6068b46b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41322821ce31416fdac8dd6e0aa41c71.png)
(1)求证:OE=CE;
(2)请判断直线CD与⊙P位置关系,证明你的结论,并求出⊙P半径的值.
![](https://img.xkw.com/dksih/QBM/2017/8/29/1762328804425728/1766872451686400/STEM/9dd9a59f796043098d7f33a00d87e1b1.png?resizew=211)
更新时间:2017-09-04 17:34:06
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【知识点】 圆与三角形的综合(圆的综合问题)
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【推荐1】如图所示,Rt△ABC中:∠C=90°,AB=6,在AB上取点O,以O为圆心,以OB为半径作圆,与AC相切于点D,并分别与AB,BC相交于点E,F(异于点B).
(1)求证:BD平分∠ABC;
(2)若点E恰好是AO的中点,求弧BF的长;
(3)若CF的长为1,求⊙O的半径长.
(1)求证:BD平分∠ABC;
(2)若点E恰好是AO的中点,求弧BF的长;
(3)若CF的长为1,求⊙O的半径长.
![](https://img.xkw.com/dksih/QBM/2020/7/4/2498400051822592/2499410622308352/STEM/5accc6bd241b4bf499131ede38b22811.png?resizew=189)
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【推荐2】如图,
是
的直径,点
,
是
上的点,且
,
分别与
,
相交于点
,
.
![](https://img.xkw.com/dksih/QBM/2022/10/24/3094431625011200/3094924146139136/STEM/c1394bc6f3eb4487930702c269f4dfa2.png?resizew=156)
(1)若
,求
的度数;
(2)若
,
,求
的直径;
(3)若
的半径为6,
,
是线段
上任意一点,请直接写出
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9672cc271c7f79973c34a1e179782762.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/683c590673eece14fea3319c4fd5eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://img.xkw.com/dksih/QBM/2022/10/24/3094431625011200/3094924146139136/STEM/c1394bc6f3eb4487930702c269f4dfa2.png?resizew=156)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7606c79c5dc92a9e10178d1979a8db7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/667349d99185bb045030b733352ff7fd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f951e874c46b9ee8ac55914f0ee5a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33f769d040ba926b022c56960e1b2677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71c75eef9cc8b4c9de454582305a679.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186dee1a1cf68677d143172a2a50709c.png)
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