1、几几何何图图形形参参数数计计算算表表 在在参参数数值值输输入入数数字字自自动动计计算算图图形形名名称称图图 式式参参数数代代号号参参数数值值名名 称称任意三角形a8面积(A)b12c6角度()hs13正n边形n6圆心角()内角()s s0.26面积(A)外接圆(R)内切圆(r)R0面积(A)边长(s)扇形r9l6面积(A)圆心角()()135面积(A)弧长(l)弓形 r3.4h0.5面积(A)弧长(l)弦长(c)c3.55面积(A)弧长(l)矢高(h)角缘面积R60面积(A)()50l lrlr rhcRbACBcahSRrR椭圆a a0.95面积(A)b b0.7周长(S)椭圆角缘a a8面
2、积(A)b b4抛物线a a5面积(A)b b3台体n n7上面积(A1)h h5下面积(A2)a13侧面积(As)a24体积(V)A1100体积(V)A2125截头圆柱R R5倾角()h1h17斜径(D)h2h29体积(V)球r r6体积(V)表面积(A)直径(D)D D12体积(V)表面积(A)球冠r r10体积(V)h6侧面积(As)a10体积(V)abababbah ha2a2a1a1A2A2A1A1h2h2h1h1D DR RrDrah角缘面积()50R侧面积(As)契形体a6体积(V)b5c6h5棱柱体A14体积(V)A24Am4l3路基坡道n n1体积(V)i i0.05a a1
3、3l50cl/2l/2lA1AmA2ii1:n1:n1:naahlabhhrah计计算算公公式式计计算算值值备备 注注A=b*h/20.0000.000a、b、c为三角形的三条边长。A=sqrt(s*(s-a)*(s-b)*(s-c)21.33121.331A=acos(b2+c2-a2)/(2*b*c)36.33636.336B=acos(a2+c2-b2)/(2*a*c)117.280117.280h为b边上的高。C=acos(b2+a2-c2)/(2*a*b)26.38426.384s=(a+b+c)/2=360/n60.00060.000n为正多边形边数=180-=180*(n-2)/
4、n120.000120.000A=n*s*r/20.1760.176已知边数n,边长s,求A,R,rR=(s/2)/sin(/2)0.2600.260r=(s/2)/tan(/2)0.2250.225A=n*R2*sin(/2)*cos(/2)0.0000.000已知边数n,外接圆R,求A,ss=2*R*sin(/2)0.0000.000r为扇形半径。A=l*r/227.00027.000已知弧长l,求面积A与圆心角=l/r38.19738.197A=0.008727*r295.42695.426已知圆心角,求面积A与弧长ll=0.01745*r21.20621.206r为扇形半径。A=(l*
5、r-c*(r-h)/21.2021.202已知矢高h,求面积A、弧长l、弦长c。l=2*r*asin(c/(2*r)3.7353.735c=2*sqrt(h*(2*r-h)3.5503.550A=(l*r-c*(r-h)/21.2021.202已知弦长c,求面积A、弧长l、矢高h。l=2*r*asin(c/(2*r)3.7353.735h=r-sqrt(r2-c2/4)0.5000.500A=R2*(tan(/2)-pi()*/360)107.911107.911已知半径R,弧心角,求角缘面积A。几几何何图图形形参参数数计计算算表表 在在参参数数值值输输入入数数字字自自动动计计算算A=PI()
6、*a*b2.0892.089长轴 aSpi()*sqrt(2*(a2+b2)-(a-b)2/22)5.2405.240短轴 bA=a*b*(1-pi()/4)6.8676.867长轴 a短轴 bA=4/3*a*b20.00020.000b 为抛物线半开口宽。A1=n*a12/tan(pi()/n)/432.70532.705多边形边数n,台体高度h。A2=n*a22/tan(pi()/n)/458.14358.143As=n*(a1+a2)*h1/2125.113125.113已知上、下边长a1、a2,求As、V。V=h*(A1+A2+sqrt(A1*A2)/6112.046112.046V=
7、h*(A1+A2+sqrt(A1*A2)/6280.669280.669已知上.下面积A1.A2,求As、V=atan(h2-h1)/2/R)11.31011.310 已知圆柱半径R,截高h1、h2,求截面、D、与体积V。D=sqrt(h2-h1)2+4*R2)10.19810.198V=pi()*R2*(h1+h2)/2628.319628.319V=4*pi()*r3/3904.779904.779 已知半径 r,求V、A、D。A=4*pi()*r2452.389452.389D=2*r12.00012.000V=pi()*D3/6904.779904.779 已知直径D,求V、A。A=p
8、i()*D2452.389452.389V=pi()*h2*(3*r-h)/3904.779904.779已知球半径 r与冠高h,求V、A。As=2*pi()*r*h376.991376.991V=pi()*h*(a2+r2-r*sqrt(r2-a2)/31256.6371256.637已知球半径 r与冠半弦a,求V、A。已知半径R,弧心角,求角缘面积A。As=2*pi()*r*(r-sqrt(r2-a2)628.319628.319V=(2*a+c)*b*h/675.00075.000长边 ac,高度为 h。V=l*(A1+4*Am+A2)/612.00012.000Am为棱柱体中截面,但Am(A1+A2)/2。V=i2*l2*(3*a+2*n*i*l*(1-n*I)*(1/i-n)/6865.885865.885 坡道长度为 l,宽度为 a,纵坡为 i,边坡坡比均为1:n。已知球半径 r与冠半弦a,求V、A。