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matlab-1/18*pi*(2*a+3-b)^2*(2*a-b-6)+1/18*pi*(-6*a+3-b)^2*(6*a+b+6)+(9*asin(-1/3*b-2*a)*b+54*asin(-1/3*b-2*a)*a-9*(9-12*b*a-36*a^2-b^2)^(1/2)+1/3*(9-12*b*a-36*a^2-b^2)^(3/2)+36*pi*a-9*asin(-1/3*b+2/3*a)*b+9*(9-b^2+4*b*a-4*a^2)^(1/2)-1/3*(9-b^2+4*b*a
题目详情
matlab
-1/18*pi*(2*a+3-b)^2*(2*a-b-6)+1/18*pi*(-6*a+3-b)^2*(6*a+b+6)+(9*asin(-1/3*b-2*a)*b+54*asin(-1/3*b-2*a)*a-9*(9-12*b*a-36*a^2-b^2)^(1/2)+1/3*(9-12*b*a-36*a^2-b^2)^(3/2)+36*pi*a-9*asin(-1/3*b+2/3*a)*b+9*(9-b^2+4*b*a-4*a^2)^(1/2)-1/3*(9-b^2+4*b*a-4*a^2)^(3/2)+18*asin(-1/3*b+2/3*a)*a)/a=-1014.1
-1/18*pi*(2*a+3-2*b)^2*(2*a-2*b-6)+1/18*pi*(-6*a+3-2*b)^2*(6*a+2*b+6)+(18*asin(-2/3*b-2*a)*b+54*asin(-2/3*b-2*a)*a-9*(9-24*b*a-36*a^2-4*b^2)^(1/2)+1/3*(9-24*b*a-36*a^2-4*b^2)^(3/2)+36*pi*a-18*asin(-2/3*b+2/3*a)*b+9*(9-4*b^2+8*b*a-4*a^2)^(1/2)-1/3*(9-4*b^2+8*b*a-4*a^2)^(3/2)+18*asin(-2/3*b+2/3*a)*a)/a=-1004.2
-1/18*pi*(2*a+3-b)^2*(2*a-b-6)+1/18*pi*(-6*a+3-b)^2*(6*a+b+6)+(9*asin(-1/3*b-2*a)*b+54*asin(-1/3*b-2*a)*a-9*(9-12*b*a-36*a^2-b^2)^(1/2)+1/3*(9-12*b*a-36*a^2-b^2)^(3/2)+36*pi*a-9*asin(-1/3*b+2/3*a)*b+9*(9-b^2+4*b*a-4*a^2)^(1/2)-1/3*(9-b^2+4*b*a-4*a^2)^(3/2)+18*asin(-1/3*b+2/3*a)*a)/a=-1014.1
-1/18*pi*(2*a+3-2*b)^2*(2*a-2*b-6)+1/18*pi*(-6*a+3-2*b)^2*(6*a+2*b+6)+(18*asin(-2/3*b-2*a)*b+54*asin(-2/3*b-2*a)*a-9*(9-24*b*a-36*a^2-4*b^2)^(1/2)+1/3*(9-24*b*a-36*a^2-4*b^2)^(3/2)+36*pi*a-18*asin(-2/3*b+2/3*a)*b+9*(9-4*b^2+8*b*a-4*a^2)^(1/2)-1/3*(9-4*b^2+8*b*a-4*a^2)^(3/2)+18*asin(-2/3*b+2/3*a)*a)/a=-1004.2
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答案和解析
您的问题很容易解决.
输入：
syms a b
[a,b]=solve('-1/18*pi*(2*a+3-b)^2*(2*a-b-6)+1/18*pi*(-6*a+3-b)^2*(6*a+b+6)+(9*asin(-1/3*b-2*a)*b+54*asin(-1/3*b-2*a)*a-9*(9-12*b*a-36*a^2-b^2)^(1/2)+1/3*(9-12*b*a-36*a^2-b^2)^(3/2)+36*pi*a-9*asin(-1/3*b+2/3*a)*b+9*(9-b^2+4*b*a-4*a^2)^(1/2)-1/3*(9-b^2+4*b*a-4*a^2)^(3/2)+18*asin(-1/3*b+2/3*a)*a)/a=-1014.1','-1/18*pi*(2*a+3-2*b)^2*(2*a-2*b-6)+1/18*pi*(-6*a+3-2*b)^2*(6*a+2*b+6)+(18*asin(-2/3*b-2*a)*b+54*asin(-2/3*b-2*a)*a-9*(9-24*b*a-36*a^2-4*b^2)^(1/2)+1/3*(9-24*b*a-36*a^2-4*b^2)^(3/2)+36*pi*a-18*asin(-2/3*b+2/3*a)*b+9*(9-4*b^2+8*b*a-4*a^2)^(1/2)-1/3*(9-4*b^2+8*b*a-4*a^2)^(3/2)+18*asin(-2/3*b+2/3*a)*a)/a=-1004.2')
即可
得到答案：
a =
2.2631583455459650748817198905258883*i + 1.6745743664836895630189592867119955
b =
- 0.64237911443082413277089195366176*i - 0.37353976784828553808533671310449
i表示-1的平方根.
输入：
syms a b
[a,b]=solve('-1/18*pi*(2*a+3-b)^2*(2*a-b-6)+1/18*pi*(-6*a+3-b)^2*(6*a+b+6)+(9*asin(-1/3*b-2*a)*b+54*asin(-1/3*b-2*a)*a-9*(9-12*b*a-36*a^2-b^2)^(1/2)+1/3*(9-12*b*a-36*a^2-b^2)^(3/2)+36*pi*a-9*asin(-1/3*b+2/3*a)*b+9*(9-b^2+4*b*a-4*a^2)^(1/2)-1/3*(9-b^2+4*b*a-4*a^2)^(3/2)+18*asin(-1/3*b+2/3*a)*a)/a=-1014.1','-1/18*pi*(2*a+3-2*b)^2*(2*a-2*b-6)+1/18*pi*(-6*a+3-2*b)^2*(6*a+2*b+6)+(18*asin(-2/3*b-2*a)*b+54*asin(-2/3*b-2*a)*a-9*(9-24*b*a-36*a^2-4*b^2)^(1/2)+1/3*(9-24*b*a-36*a^2-4*b^2)^(3/2)+36*pi*a-18*asin(-2/3*b+2/3*a)*b+9*(9-4*b^2+8*b*a-4*a^2)^(1/2)-1/3*(9-4*b^2+8*b*a-4*a^2)^(3/2)+18*asin(-2/3*b+2/3*a)*a)/a=-1004.2')
即可
得到答案：
a =
2.2631583455459650748817198905258883*i + 1.6745743664836895630189592867119955
b =
- 0.64237911443082413277089195366176*i - 0.37353976784828553808533671310449
i表示-1的平方根.
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