配套习题- 弧长和扇形面积（2） -【青果学院】

挑战习题

1/5单选题

难度：

1.已知圆锥的底面的半径为3cm，高为4cm，则它的侧面积为（　　）

A	15πcm²
B	16πcm²
C	19πcm²
D	24πcm²

提示1：: 5YWI5Yip55So5Yu+6IKh5a6a55CG6K6h566X5Ye65q+N57q/6ZW/UEE=

提示2：: 54S25ZCO5qC55o2u5ZyG6ZSl55qE5L6n6Z2i5bGV5byA5Zu+5Li65omH5b2i77yM5omH5b2i55qE5byn6ZW/562J5LqO5ZyG6ZSl55qE5bqV6Z2i5ZyG55qE5ZGo6ZW/77yM5omH5b2i55qE5Y2K5b6E562J5LqO5ZyG6ZSl55qE5q+N57q/6ZW/77yM5Yip55So5omH5b2i55qE6Z2i56ev5YWs5byP6K6h566X5Y2z5Y+v77yO

正确答案：QQ==

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2/5单选题

难度：

2.一个圆锥的侧面展开图是半径为6，圆心角为120°的扇形，那么这个圆锥的底面圆的半径为（　　）

A	1
B	2
C	3
D	4

提示1：: 5Yip55So5byn6ZW/5YWs5byP5piT5b6X5ZyG6ZSl5L6n6Z2i5bGV5byA5Zu+55qE5byn6ZW/77yM6Zmk5LulMs+A5Y2z5Li65ZyG6ZSl55qE5bqV6Z2i5Y2K5b6E77yO

正确答案：Qg==

6Kej77ya5ZyG6ZSl5L6n6Z2i5bGV5byA5Zu+55qE5byn6ZW/5Li677yaPGltZyB3aWR0aD00MiBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC83QS9ENS9yQkFDSmxWaW5LT0JpYzBlQUFBQjFucXpMWFUwMzYucG5nIj49NM+A77yMPGJyPuKItOWchumUpeeahOW6lemdouWchueahOWNiuW+hOS4uu+8mjTPgMO3Ms+APTLvvIw8YnI+5pWF6YCJQu+8jg==

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3/5单选题

难度：

3.一个圆锥的底面圆的周长是2π，母线长是3，它的侧面展开图的圆心角的度数是（　　）

A	60°
B	90°
C	120°
D	150°

提示1：: 5q2j56Gu55CG6Kej5ZyG6ZSl5L6n6Z2i5LiO5YW25bGV5byA5b6X5Yiw55qE5omH5b2i55qE5YWz57O777ya5ZyG6ZSl55qE5q+N57q/6ZW/562J5LqO5omH5b2i55qE5Y2K5b6E77yM5ZyG6ZSl55qE5bqV6Z2i5ZGo6ZW/562J5LqO5omH5b2i55qE5byn6ZW/77yO5Zug6ICM5ZyG6ZSl55qE5L6n6Z2i5bGV5byA5Zu+5omH5b2i55qE5byn6ZW/5pivNM+AY23vvIzljYrlvoTmmK82Y20=

提示2：: 5qC55o2u5omH5b2i55qE5byn6ZW/5YWs5byP5rGC5Ye6bueahOWAvO+8jg==

正确答案：Qw==

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4/5单选题

难度：

4.如图，在Rt△ABC中，∠C=90°，AC=3，BC=4，以直角边为轴，把△ABC旋转1周，则所得几何体的全面积是（　　）青果学院

A	20π
B	36π
C	15π或24π
D	24π或36π

提示1：: 5YWI5qC55o2u5Yu+6IKh5a6a55CG5b6X5YiwQUI9Ne+8jOeEtuWQjuWIhuexu+iuqOiuuu+8muW9k+S7pUFD5omA5Zyo55u057q/5Li66L2077yM5oqK4pazQUJD5peL6L2sMeWRqOaJgOW+l+eahOWchumUpeeahOW6lemdouWchueahOWNiuW+hOS4ujTvvIzmr43nur/plb/kuLo177yb5b2T5LulQkPmiYDlnKjnm7Tnur/kuLrovbTvvIzmiorilrNBQkPml4vovawx5ZGo5omA5b6X55qE5ZyG6ZSl55qE5bqV6Z2i5ZyG55qE5Y2K5b6E5Li6M++8jOavjee6v+mVv+S4ujU=

提示2：: 5YaN5Yip55So5ZyG6ZSl55qE5L6n6Z2i5bGV5byA5Zu+5Li65LiA5omH5b2i77yM6L+Z5Liq5omH5b2i55qE5byn6ZW/562J5LqO5ZyG6ZSl5bqV6Z2i55qE5ZGo6ZW/77yM5omH5b2i55qE5Y2K5b6E562J5LqO5ZyG6ZSl55qE5q+N57q/6ZW/5ZKM5omH5b2i6Z2i56ev5YWs5byP6K6h566X5a+55bqU55qE5L6n6Z2i56ev

提示3：: 5YaN6K6h566X5Lik56eN5oOF5Ya15LiL55qE5YWo6Z2i56ev77yO

正确答案：RA==

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

提示0/3

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5/5单选题

难度：

5.一把大遮阳伞，伞面撑开时可近似地看成是圆锥形，如图，它的母线长是2.5米，底面半径为2米，则做成这把遮阳伞需要布料的面积是（　　）平方米（接缝不计）．青果学院

A	π
B	5π
C	4π
D	3π

提示1：: 5qC55o2u5ZyG6ZSl55qE5L6n6Z2i5bGV5byA5Zu+5piv5omH5b2i5Y+v55+l77yM5rGC5b6X5ZyG6ZSl55qE5bqV6Z2i5ZGo6ZW/5bCx5piv5ZyG6ZSl55qE5byn6ZW/77yM5Yip55So5ZyG6ZSl55qE6Z2i56ev6K6h566X5pa55rOV5rGC5b6X5ZyG6ZSl55qE5L6n6Z2i56ev5Y2z5Y+v77yO

正确答案：Qg==

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