如图,在平面直角坐标系中,以(1,0)为圆心的⊙P与y轴相切于原点O,过点A(-1,0)的直线AB与⊙P相切于点B.
(1)求AB的长.
(2)求AB、OA与
所围成的阴影部分面积.
(3)求直线AB的解析式.
(1)求AB的长.
(2)求AB、OA与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80963bc07272fafac4fac9f53dd480e7.png)
(3)求直线AB的解析式.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/1/d805a892-9a61-4e4b-9162-3a780a6c9be9.png?resizew=223)
更新时间:2020-04-19 09:13:34
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【知识点】 求其他不规则图形的面积
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解答题-问答题
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较难
(0.4)
【推荐1】如图,有两块量角器完全重合在一起(量角器的直径
,圆心为
),保持下面一块不动,上面的一块沿
所在的直线向右平移,当圆心与点
重合时,量角器停止平移,此时半
与半
交于点
,连接
.
与半
有怎样的位置关系?请说明理由.
(2)在半
的量角器上,
、
点的读数分别为
、
时,问点
在这块量角器上的读数是多少?
(3)求图中阴影部分的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f6558fef858bf27e9811c2d9426fe7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6f6558fef858bf27e9811c2d9426fe7.png)
(2)在半
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d97cdc586744d208b6f69c9813af977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfe639eab78eafd2d40ea70aa5d3f21d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235d495d88b8e51f89e2e4da27328025.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)求图中阴影部分的面积.
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解答题-证明题
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较难
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【推荐2】如图,线段AB经过圆心O,交⊙O于点A、C,点D为⊙O上一点,连结AD、OD、BD,∠A=∠B=30°.
![](https://img.xkw.com/dksih/QBM/2019/8/31/2280695892123648/2282735415443456/STEM/0e7e555660b849a98d482ce565b4c5bf.png?resizew=179)
(1)求证:BD是⊙O的切线.
(2)若OA=5,求OA、OD与AD围成的扇形的面积.
![](https://img.xkw.com/dksih/QBM/2019/8/31/2280695892123648/2282735415443456/STEM/0e7e555660b849a98d482ce565b4c5bf.png?resizew=179)
(1)求证:BD是⊙O的切线.
(2)若OA=5,求OA、OD与AD围成的扇形的面积.
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