工程规则及不规则几何图形计算公式

全面积侧面积SMS=6a2S=2(ah+bh+a+b)S=2πr(r+h)M=2πrhS=πh(R+r)+2π(R2+r2)M=2πh(R+r)S=πr[(h1+h2r)+M=πr(h+h1)√r2+(h1-h2/2)2]S=5.1962a2+6aAhS=a2+b2+2(a+b)h12(a+b)h1(a+a1)*(4h^2+(b-b1)^2)^0.5/2+(b+b1)*(4h^2+(a-a1)^2)^0.5/2正立方体长立方体S=(a+a1)*(4h^2+(b-b1)^2)^0.5/2+(b+b1)*(4h^2+(a-a1)^2)^0.5/2+a1b1+ab图形直园柱空心园柱(管)正方角锥台矩方角锥台名称常见立体图形斜切直园柱正六角柱M=πrl等=πr√r2+h2M=πl(r+r1)S=π(2rh+a2+b2)M=2πrhr=半径l=螺距n=螺线旋转圈数S=螺旋线长度P=园柱或园锥的底面周长r=半径l=螺距n=螺线旋转圈数S=螺旋线长度P=园柱或园锥的底面周长螺旋形楼梯计算方法(a+a1)*(4h^2+(b-b1)^2)^0.5/2+(b+b1)*(4h^2+(a-a1)^2)^0.5/2球缺S=(a+a1)*(4h^2+(b-b1)^2)^0.5/2+(b+b1)*(4h^2+(a-a1)^2)^0.5/2+a1b1+ab三锥体球带园锥螺旋线园锥矩方角锥台园柱螺旋线截头园锥h1=锥体高度M=1/2*n*a*lM=1/2flS=1/2fl+ea=正多边形边长n=正多边形边数e=底面积f=底面周长S=1/2L(f1+f2)+e1+e2M=1/2L(f1+f2)a、a1=两端正多边形边长n=正多边形边数e、e1=两端面积f、f1=两端面周长楔形截头直角锥直角锥S=1/2*n*a*l+n/2*a*((a/(2*sin(360/(2*n)*PI()/180)))^2-a^2/4)^0.5三锥体体积VV=a3V=abhV=πd2h/4V=πh(R2-r12)V=πr2(h+h1)/2V=2.5981a2hV=(a2+b2+ab)h/3S侧=2(a+b)h1a=0.5b=2.2h=0.3侧面积=4.867494V=h/6[ab+(a+a1)*设矩锥:a=3.80;a1=0.45;b=2.50;b1=0.60;h=0.30;h1=斜长(b+b1)+a1b1]侧面积=常见立体图形土方：V=(a+2C+KH)*(b+2C+KH)H+1/3K^2H^34.754579V=πr2h/311.975等=1.0472r2V=πh(r2r12+r1r)/3不对应V=πh(r2+r12+r1r)/3V=πh/6(3a2+h2)9.509159V=πh/6(3a2+3b2+h2)S=n/2√P2+l2加+l2/2Pln√P2+l2+P/1式中:P=2πrS=n√P2+l2式中:P=2πrV=h1/3[A(1.44A+1.25B+0.67a+2b)-B(1.73B+1.52b)+ab]V=h/3ea=正多边形边长n=正多边形边数e=底面积f=底面周长V=h/3(e1+e2+√e1e2)a、a1=两端正多边形边长n=正多边形边数e、e1=两端面积f、f1=两端面周长V=bh/6(a+a1+a2)V=h/3*(n/2*a*((a/(2*sin(360/(2*n)*PI()/180)))^2-a^2/4)^0.5)V=h1/3[A(1.44A+1.25B+0.67a+2b)-B(1.73B+1.52b)+ab]正六角形园形椭形平行四边形三角形梯形正方形长方形名称常见平面图形的面积图形正多边形菱形弓形扇形环式扇形四分园隅角月形椭形正多边形三桩台rr2arrTTT公式F=面积面积F=a2;a=0.7071d=√F;d=1.4142a=1.4142√F面积F=abF=bh面积F=bd/2=b/2√a2-(a2+b2-c2/2b)2;面积F=(a+b)h/2面积F=2.5981a2=2.5981R2=3.4641r2面积F=πr2=3.1416r2=0.7854d2面积F=πab=3.1416ab周长的近值:2P=π√2(a2+b2)常见平面图形的面积面积F=1/2rl=0.0087266ar2面积F=1/2[rl-c(r-h)]面积F=aπ/360(R2-r2)面积F=π/4r2F=(1-π/4)r2=0.2146r2=0.1073c2F=弓形acb-弓形adbS=1/2e、f=a2sinAf=2asinA/2e=2acosA/2F=n/2*a*((a/(2*sin(360/(2*n)*PI()/180)))^2-a^2/4)^0.5N=4R=a/(2*sin(360/(2*n)*PI()/180))r=((a/(2*sin(360/(2*n)*PI()/180)))^2-a^2/4)^0.5F=AB+0.58A2-0.87B2a=50