Question

距离交会数据见图6-22,已知A,B点的坐标为Xa=500.00,Ya=500.00,Xb=615.825,yb=596

Answer 1

从P点做AB的垂线,垂足为C,PC为高设为：h.C将AB分为两部分：左长X、右长Y.

X^2+h^2=161.361^2 (1)

Y^2+h^2=153.112^2 (2)

X+Y=150.365 (3) 或：Y=150.365-X (4)

(1)-(2)：X^2-Y^2 = 161.361^2-153.112^2

代以（4）：X^2-(150.365-X)^2=2594.087777 (5) 或：300.73X=25203.721002

解出：X = 83.808469 Y = 66.55653

于是：Px = Xa+X = 500+83.808 = 583.808 (6)

Py = Ya+Y = 500+66.556 = 566.556 (7)