已知角
的终边过点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d26e5a4e3472fd6b1dbc1ea628a3fb.png)
(1)求
的值
(2)求以
为圆心角、半径为6的扇形的弧长和面积
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a5f031fbe09d8ed7d451279f31eb595.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73d26e5a4e3472fd6b1dbc1ea628a3fb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/769404fc69a17461e0b87078a2a68cf3.png)
(2)求以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
20-21高一上·江苏南通·阶段练习 查看更多[2]
更新时间:2021-03-26 18:25:41
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【推荐1】已知一扇形的圆心角为
,半径为
,弧长为
.
(1)已知扇形的周长为
,面积是
,求扇形的圆心角;
(2)若扇形周长为
,当扇形的圆心角
为多少弧度时,这个扇形的面积最大?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbd1b42e39c953651e1ce5ed3c71b872.png)
(1)已知扇形的周长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38309217f0970107f6f6e65a4c77bae6.png)
(2)若扇形周长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe9f7abf7bcf4e1aa2579cd191d7761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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【推荐2】如图,已知圆O的半径r为10,弦AB的长为10.
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846966645792768/2847526362439680/STEM/ff216043-7d9e-45c9-a7f6-7fdf0c9fd9a1.png?resizew=199)
(1)求弦AB所对的圆心角
的大小;
(2)求圆心角
所对应的弧长l及阴影部分的面积S.
![](https://img.xkw.com/dksih/QBM/2021/11/8/2846966645792768/2847526362439680/STEM/ff216043-7d9e-45c9-a7f6-7fdf0c9fd9a1.png?resizew=199)
(1)求弦AB所对的圆心角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)求圆心角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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解题方法
【推荐1】已知一扇形的中心角是
,所在圆的半径是R.
(1)若
,
,求扇形的弧长l及面积S;
(2)若扇形的周长是一定值C(
),当
为多少弧度时,该扇形有最大面积?并求最大面积;
(3)若扇形的面积是一定值S(
),当
为多少弧度时,该扇形有最小周长?并求最小周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c69a23d106fd34aa17b22e9c9a8de36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2c04cf1526b75a516ef1a578bdd4c0f.png)
(2)若扇形的周长是一定值C(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75aed2b995e34438a29a4170cf535914.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(3)若扇形的面积是一定值S(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fe8fabd6b7f3547c18062c8781dbd45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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【推荐2】一个扇形的周长是16,求圆心角是多少时,这个扇形的面积最大?最大的面积是多少?
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【推荐1】在平面直角坐标系
中,已知角
的顶点与坐标原点重合,始边与x轴的非负半轴垂合,它的终边过点
.
(1)求
,
的值:
(2)若函数
的图象关于直线
对称,求函数
的单调增区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf2a976830441cdfbd96d3d12c683c3b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feca605bcd550fa9923a9f79a96e9af3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3e036cc1a22bb67f6f838ce1ce3141.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2583b149affe9bd4f222cb3a71b13563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f56a20bc5fce6b02217627b42249854.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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