1 . 已知一扇形的圆心角为α,所在圆的半径为R,该扇形的周长为4R,则该扇形中所含弓形的面积是多少?(注:弓形是指在圆中由弦及其所对的弧组成的图形.)
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2 . 在半径为R的圆中,
的圆心角所对的弧长为______ ,面积为
的扇形的圆心角等于______ 弧度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/231b861d6d1f1d0b9f52b041cb40eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18df50d6946e2ea2a68326bd33cc8b3a.png)
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3 . 在半径不等的两个圆中,相等的圆心角所对的弧长与半径之比是常数.
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4 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5426d8da63beff35d647209f7f5640.png)
______ rad;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62d7255fac1de91f86c38cfd9843063.png)
______ °.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb5426d8da63beff35d647209f7f5640.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c62d7255fac1de91f86c38cfd9843063.png)
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5 . 若
,则α为第______ 象限角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2db7fd14f1a771100a4e9edddd1b870.png)
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6 . 将
化成
的形式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce078432214ddb22575849c26e9756d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb7dc719b96254f59b5f434e88c03da.png)
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7 . 请画出函数
的图象,你能从图中发现此函数具备哪些性质?(可以借助信息技术画图)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f01a804629dcb651cfed1731e78b43e.png)
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8 . 在同一平面直角坐标系内画出正弦函数
和余弦函数
在区间
上的图象,并回答下列问题.
(1)写出满足
的x的值;
(2)写出满足
的x的取值范围;
(3)写出满足
的x的取值范围;
(4)当
时,分别写出满足
,
,
的x值的集合.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58c65d71e57e6e7697e2f627dcd58583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bccd6a6e85bdf500218a3e75b31f3c.png)
(1)写出满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33248aad4efe7b3e8569208e29e8219.png)
(2)写出满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03deca7ddcd6add46570f28ff872945a.png)
(3)写出满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e795ea5ed3eb006ce10ddd787a37319d.png)
(4)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d33248aad4efe7b3e8569208e29e8219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03deca7ddcd6add46570f28ff872945a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e795ea5ed3eb006ce10ddd787a37319d.png)
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解题方法
9 . 下列函数哪些是奇函数?哪些是偶函数?哪些既不是奇函数也不是偶函数?
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3ba93565b37938db0d2f302ebd452d5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170633cb6b97162dbf150c2d6ef2a158.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bcd45e748b244610671024cf4254fd.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/296428969fb7984998473bc367eaad3a.png)
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10 . 求下列函数的单调区间:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52cca081d59631c83a8217816bb072d5.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a70bbb6b7acf231a3c3b4df1f9664c0.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b63e0353d910b51fd08d1c2fd2b3a7b.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84ddea5f7d0e4a8b9147e44137facbb.png)
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