各种面积计算公式.pdf

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各种面积计算公式.pdf

名师推荐精心整理学习必备各种面积计算公式长方形的周长=（长+宽）2 正方形的周长=边长 4 长方形的面积=长宽正方形的面积=边长边长三角形的面积=底高 2 平行四边形的面积=底高梯形的面积=（上底+下底）高 2 直径=半径 2 半径=直径 2 圆的周长=圆周率直径圆周率半径 2 圆的面积=圆周率半径半径长方体的表面积=（长宽+长高宽高）2 椭圆的面积Sab的公式求椭圆的面积。ab 时，当长半径 a3(厘米)，短半径 b2(厘米)时，其面积 S326(平方厘米)。长方体的体积=长宽高正方体的表面积=棱长棱长 6 正方体的体积=棱长棱长棱长圆柱的侧面积=底面圆的周长高圆柱的表面积=上下底面面积+侧面积圆柱的体积=底面积高圆锥的体积=底面积高 3 长方体（正方体、圆柱体）的体积=底面积高平面图形名称符号周长 C 和面积 S 正方形 a边长 C4a Sa2 长方形 a 和 b边长 C2(a+b)Sab 三角形 a,b,c三边长ha 边上的高s周长的一半A,B,C 内角学习资料总结-名师归纳欢迎下载-欢迎下载名师归纳-第 1 页，共 4 页 -名师推荐精心整理学习必备其中 s(a+b+c)/2 S ah/2 ab/2 sinC s(s-a)(s-b)(s-c)1/2 a2sinBsinC/(2sinA)四边形 d,D对角线长对角线夹角SdD/2sin 平行四边形a,b边长ha 边的高两边夹角Sah absin 菱形 a边长夹角D长对角线长d短对角线长SDd/2 a2sin 梯形 a 和 b上、下底长h高m中位线长S(a+b)h/2 mh 圆 r半径d直径 Cd 2r Sr2 d2/4 扇形 r扇形半径a圆心角度数C2r2r(a/360)Sr2(a/360)弓形 l弧长b弦长h矢高r半径圆心角的度数Sr2/2(/180-sin)r2arccos(r-h)/r-(r-h)(2rh-h2)1/2 r2/360-b/2 r2-(b/2)21/2 学习资料总结-名师归纳欢迎下载-欢迎下载名师归纳-第 2 页，共 4 页 -文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 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ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2名师推荐精心整理学习必备r(l-b)/2+bh/2 2bh/3 圆环 R外圆半径r内圆半径D外圆直径d内圆直径S(R2-r2)(D2-d2)/4 椭圆 D长轴d短轴 SDd/4 立方图形名称符号面积 S 和体积 V 正方体 a边长 S6a2 Va3 长方体 a长b宽c高 S2(ab+ac+bc)Vabc 棱柱 S底面积h高 VSh 棱锥 S底面积h高 VSh/3 棱台 S1 和 S2上、下底面积h高 VhS1+S2+(S1S1)1/2/3 拟柱体 S1上底面积S2下底面积S0中截面积h高 Vh(S1+S2+4S0)/6 圆柱 r底半径h高C底面周长S 底底面积S 侧侧面积S 表表面积 C2r S 底r2 S 侧Ch 学习资料总结-名师归纳欢迎下载-欢迎下载名师归纳-第 3 页，共 4 页 -文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 ZY1G8N2H7Z2文档编码:CZ2L10S4Z3R8 HJ7H2M7Y9H8 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