圆锥的表面积公式推导 谁能帮我推导出圆锥侧面积公式为什么是S=πRL

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20\u8d5e\u00b7183,181\u6d4f\u89c82019-10-24
\u521d\u4e09\u6570\u5b66\u77e5\u8bc6\u70b9_\u6559\u4f60\u4e00\u4e2a\u5f15\u5bfc\u5b69\u5b50\u5b66\u4e60\u7684\u65b9\u6cd5
\u6839\u636e\u6587\u4e2d\u63d0\u5230\u7684\u5706\u9525\u4e3a\u60a8\u63a8\u8350
\u5b81\u6ce2\u96c5\u5b66\u6559\u80b2\u6709\u9650\u516c\u53f8\u5e7f\u544a
\u521d\u4e09\u6570\u5b66\u5706\u5706\u9525\u7684\u4fa7\u9762\u79ef\u548c\u5168\u9762\u79ef
\u6839\u636e\u6587\u4e2d\u63d0\u5230\u7684\u5706\u9525\u4e3a\u60a8\u63a8\u8350
\u6df1\u5733\u524d\u6d77\u65b0\u4e4b\u6c5f\u4fe1\u606f..\u5e7f\u544a
\u6b63\u5728\u52a0\u8f7d
\u8bc4\u8bba
6
\u4e0b\u4e00\u6761\u56de\u7b54

\u89e3\uff1a\u5706\u9525\u7684\u4fa7\u9762\u5c55\u5f00\u662f\u4e00\u4e2a\u6247\u5f62\uff0c\u5982\u4e0b\u56fe\u6247\u5f62ABC\uff0c\u5219\u5706\u9525\u7684\u4fa7\u9762\u79ef=\u6247\u5f62\u7684\u9762\u79ef\u3002
\u8bbe\uff1a\u5706\u9525\u5e95\u9762\u7684\u534a\u5f84OB\u957f\u4e3aR\uff0c\u5706\u9525\u7684\u6bcd\u7ebf\u4e5f\u5373\u6247\u5f62\u7684\u534a\u5f84AB\u957f\u4e3aL\uff0c
\u5219 \u6247\u5f62\u7684\u5f27\u957fB\u2312C=\u5e95\u9762\u7684\u5706\u5468\u957f2\u03c0R\uff0c \u6247\u5f62\u7684\u9762\u79ef=1/2x\u5f27\u957fx\u534a\u5f84=1/2(2\u03c0R)L=\u03c0RL,
\u4e5f\u5373 \u5706\u9525\u7684\u4fa7\u9762\u79ef=\u03c0RL\u3002








































































































































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\u89e3\uff1a\u5706\u9525\u7684\u4fa7\u9762\u5c55\u5f00\u662f\u4e00\u4e2a\u6247\u5f62\uff0c\u5982\u4e0b\u56fe\u6247\u5f62ABC\uff0c\u5219\u5706\u9525\u7684\u4fa7\u9762\u79ef=\u6247\u5f62\u7684\u9762\u79ef\u3002
\u8bbe\uff1a\u5706\u9525\u5e95\u9762\u7684\u534a\u5f84OB\u957f\u4e3aR\uff0c\u5706\u9525\u7684\u6bcd\u7ebf\u4e5f\u5373\u6247\u5f62\u7684\u534a\u5f84AB\u957f\u4e3aL\uff0c
\u5219 \u6247\u5f62\u7684\u5f27\u957fB\u2312C=\u5e95\u9762\u7684\u5706\u5468\u957f2\u03c0R\uff0c \u6247\u5f62\u7684\u9762\u79ef=1/2x\u5f27\u957fx\u534a\u5f84=1/2(2\u03c0R)L=\u03c0RL,
\u4e5f\u5373 \u5706\u9525\u7684\u4fa7\u9762\u79ef=\u03c0RL\u3002


圆锥的表面积=底面积+侧面积,公式推导为:S表=S侧+S底=π×r×r+π×r×L=πr×(r+L);其中r表示地面半径,L表示圆锥的母线,π为圆周率。

小学一到六年级数学知识点总结:

小学一年级:九九乘法口诀表,学会基础加减乘:背诵好九九乘法口诀表,做到熟悉个位数的相乘;

小学二年级:完善乘法口诀表,牢固一年级知识,学会除混合运算,基础几何图形;

小学三年级:学会乘法交换律,几何面积周长等,时间量及单位。路程计算,分配律,分数小数;

小学四年级:线角自然数整数,素因数梯形对称,分数小数计算;

小学五年级:分数小数乘除法,代数方程及平均,比较大小变换,图形面积体积;

小学六年级:比例百分比概率,圆扇圆柱及圆锥。

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