234_3998315_各种几何图形计算公式(初等+高等大全)清晰版.doc

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25 / 25多面体的体积和表面积图形尺寸符号立方体长方体棱柱三棱柱棱锥棱台圆柱和空心圆柱管斜线直圆柱直圆锥圆台球球扇形球楔球缺圆环体胎球带体桶形椭球体a,b,c-半轴交叉圆柱体梯形体常用图形求面积公式图形尺寸符号面积（f） 表面积（s）正方形长方形三角形平行四边形任意四边形正多边形菱形梯形圆形椭圆形ab-主轴f= (/4) ab扇形弓形圆环部分圆环新月形l d/102d/10 3d/10 4d/105d/10 6d/10 7d/10p 0.400.79 1.18 1.561.91 2.25 2.55抛物线形等多边形土方开挖体积：v=（长+2垫层超出基础长度+2工作面宽+放坡系数高度）（宽+2垫层超出基础长度+2工作面宽+放坡系数高度）高度+1/3放坡系数高度几何图形及计算公式大全平面图形名称符号周长c和面积s正方形a边长c4asa2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内角其中s(a+b+c)/2sah/2ab/2sinc s(s-a)(s-b)(s-c)1/2a2sinbsinc/(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sahabsin菱形a边长夹角d长对角线长d短对角线长sdd/2a2sin梯形a和b上、下底长h高m中位线长s(a+b)h/2mh圆r半径d直径cd2rsr2d2/4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)1/2r2/360 - b/2r2-(b/2)21/2r(l-b)/2 + bh/22bh/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s6a2va3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c2rs底r2s侧chs表ch+2s底vs底hr2h空心圆柱r外圆半径r内圆半径h高vh(r2-r2)直圆锥r底半径h高vr2h/3圆台r上底半径r下底半径h高vh(r2rrr2)/3球r半径d直径v4/3r3d2/6球缺h球缺高r球半径a球缺底半径vh(3a2+h2)/6h2(3r-h)/3a2h(2r-h)球台r1和r2球台上、下底半径h高vh3(r12r22)+h2/6圆环体r环体半径d环体直径r环体截面半径d环体截面直径v22rr22dd2/4桶状体d桶腹直径d桶底直径h桶高vh(2d2d2)/12(母线是圆弧形,圆心是桶的中心) vh(2d2dd3d2/4)/15(母线是抛物线形)资料来自网上 制作纯凭兴趣 版权归于原著 不可商业交易 uushare个人空间 /user/zxyns/file 趣盘个人空间 http:/20100610.qupan.cc/ 改编 2011年2月8日星期二 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