如果一个圆的直径扩大5倍,那么半径扩大 一个圆柱体的底面半径扩大4倍,高扩大5倍,它的底面直径扩大_...

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\u8bbe\u5706\u7684\u534a\u5f84\u4e3ar\uff0c\u5219\u76f4\u5f84=2r\uff0c\u5468\u957f=2\u03c0r\uff0c\u9762\u79ef=\u03c0r2\uff0c\u03c0\u662f\u4e00\u4e2a\u5b9a\u503c\uff0c\u5219\uff1a\uff081\uff09\u5706\u7684\u76f4\u5f84\u3001\u5468\u957f\u4e0e\u5706\u7684\u534a\u5f84\u6210\u6b63\u6bd4\u4f8b\uff1a\u5373\u5706\u7684\u534a\u5f84\u6269\u59275\u500d\u65f6\uff0c\u76f4\u5f84\u5c31\u6269\u59275\u500d\uff0c\u5468\u957f\u4e5f\u662f\u6269\u59275\u500d\uff1b\uff082\uff09\u5706\u7684\u9762\u79ef\u4e0er2\u6210\u6b63\u6bd4\u4f8b\uff1a\u5373\u534a\u5f84r\u6269\u59272\u500d\uff0c\u5219r2\u5c31\u6269\u59275\u00d75=25\u500d\uff0c\u6240\u4ee5\u5706\u7684\u9762\u79ef\u5c31\u6269\u592725\u500d\uff0e\u7b54\uff1a\u4e00\u4e2a\u5706\u7684\u534a\u5f84\u6269\u59275\u500d\uff0c\u5219\u76f4\u5f84\u5c31\u6269\u59275\u500d\uff0c\u5468\u957f\u6269\u59275\u500d\uff0c\u9762\u79ef\u6269\u592725\u500d\uff0e\u6545\u7b54\u6848\u4e3a\uff1a5\uff1b5\uff1b25\uff0e

\uff081\uff09\u56e0\u4e3a\uff0cd=2r\uff0c\u6240\u4ee5\uff0c\u534a\u5f84\u6269\u59274\u500d\uff0c\u76f4\u5f84\u6269\u59274\u500d\uff0c\uff082\uff09\u56e0\u4e3a\uff0cC=2\u03c0r\uff0c\u6240\u4ee5\uff0c\u534a\u5f84\u6269\u59274\u500d\uff0c\u5468\u957f\u6269\u59274\u500d\uff0c\uff083\uff09\u56e0\u4e3aS=\u03c0r2\uff0c\u6240\u4ee5\uff0c\u534a\u5f84\u6269\u59274\u500d\uff0c\u9762\u79ef\u6269\u592716\u500d\uff0c\uff084\uff09\u56e0\u4e3a\uff0cS=ch=2\u03c0rh\uff0c\u6240\u4ee5\uff0cV=sh=\u03c0r2h\uff0c\u4fa7\u9762\u79ef\u6269\u59274\u00d75=20\uff08\u500d\uff09\uff0c\uff085\uff09\u56e0\u4e3a\uff0cV=sh=\u03c0r2h\uff0c\u6240\u4ee5\uff0cV=sh=\u03c0r2h\uff0c\uff0c\u4f53\u79ef\u6269\u59274\u00d74\u00d75=80\uff08\u500d\uff09\uff0c\u6545\u7b54\u6848\u4f9d\u6b21\u4e3a\uff1a4\uff0c4\uff0c16\uff0c20\uff0c80\uff0e

设圆的半径为r,则直径=2r,周长=2πr,面积=πr2,π是一个定值,
则:(1)圆的直径与半径成正比例、周长与圆的半径成正比例,即圆的半径扩大5倍时,直径就扩大5倍,周长也是扩大5倍;
(2)圆的面积与r2成正比例,即半径r扩大5倍,则r2就扩大5×5=25倍,所以圆的面积就扩大25倍.
故答案为:5倍;5;25倍.

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