早教吧作业答案频道 -->数学-->
已知x1,y1;x2,y2;R,y2的方程组(x1-x3)/(y1-y3)=(x1-x2)/(y1-y2);(x3-x2)*(x3-x2)+(y3-y2)*(y3-y2)=R*R;
题目详情
已知x1,y1; x2,y2; R ,y2的方程组
(x1-x3)/(y1-y3)=(x1-x2)/(y1-y2);
(x3-x2)*(x3-x2)+(y3-y2)*(y3-y2)=R*R;
(x1-x3)/(y1-y3)=(x1-x2)/(y1-y2);
(x3-x2)*(x3-x2)+(y3-y2)*(y3-y2)=R*R;
▼优质解答
答案和解析
[x3,y3]=solve('(x1-x3)/(y1-y3)=(x1-x2)/(y1-y2)','(x3-x2)*(x3-x2)+(y3-y2)*(y3-y2)=R*R','x3','y3')
结果:
x3 =
-(x1*y2-1/2*x1/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2+2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))-x2*y1+1/2*x2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2+2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2)))/(y1-y2)
-(x1*y2-1/2*x1/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2-2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))-x2*y1+1/2*x2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2-2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2)))/(y1-y2)
y3 =
1/2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2+2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))
1/2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2-2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))
结果:
x3 =
-(x1*y2-1/2*x1/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2+2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))-x2*y1+1/2*x2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2+2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2)))/(y1-y2)
-(x1*y2-1/2*x1/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2-2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))-x2*y1+1/2*x2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2-2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2)))/(y1-y2)
y3 =
1/2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2+2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))
1/2/(-2*x1*x2-2*y1*y2+x1^2+x2^2+y1^2+y2^2)*(2*y2^3-4*x1*y2*x2-4*y2^2*y1+2*y2*y1^2+2*x1^2*y2+2*x2^2*y2-2*(4*x1*x2*R^2*y1*y2+6*y1^2*y2^2*R^2-4*y1^3*y2*R^2-4*y1*y2^3*R^2+x1^2*R^2*y1^2+x1^2*R^2*y2^2+x2^2*R^2*y1^2+x2^2*R^2*y2^2-2*x1*x2*R^2*y1^2-2*x1*x2*R^2*y2^2-2*x1^2*R^2*y1*y2-2*x2^2*R^2*y1*y2+y1^4*R^2+y2^4*R^2)^(1/2))
看了已知x1,y1;x2,y2;R...的网友还看了以下:
已知y1=2x+3,y2=5x-1/2解答下列问题:(1)当x取何值时,y1=2y2?(2)当已知 2020-04-26 …
y1=(x-1)/3,y2=(3x+1)/2-3.(1)若y1快速度急急急啊回答好了还会有奖励!! 2020-04-27 …
已知关于x的方程1/2(1-x)=1+k的解与方程3/4(x-1)-2/5(3x+2)=k/10- 2020-05-16 …
已知y1=3(5/3x-1/2),y2=4(1/2-x当想取何值时,y1=y2已知y1=3(5/3 2020-06-03 …
已知关于x的方程(x)/2+(x)/2=x-4与方程1/2(x-16)=-6的解相同求m如果关于x 2020-06-03 …
一元一次方程②用整体思想解方程(1)2/3(t-1)=1-1/3(t-1)(2)-5(2/3x-1 2020-06-12 …
设四元线性方程组Ax=b(b不等于0),y1,y2,y3为其解,y1=(2,3,4,5)^T,y2 2020-07-31 …
已知函数Y=-KX+4与Y=K/X的图象有两个不同的交点,且A(-1/2,Y1),B(-1,Y2), 2020-11-01 …
如果m、n是定值,关于y的一次方程(2ky+m/3)-(y-nk/6)=2,对于k的任何值,方程的解 2020-12-31 …
填空6方程(x-1)²=47一元二次方程2(x-2)²-8=0的解是?8用直接开平方解方程1/2(2 2020-12-31 …