Question

函数选择题：请写出详细解答过程，谢谢

Answer 1

这个题貌似是个错题 点击图片可以放大

Answer 2

|x-2|+|y-3| = |x-8| + |y-8|, 0<=x<=8, 0<=y<=8.

0<=x<2, 0<=y<3时，2-x + 3-y = 8-x + 8-y, 5=16矛盾。无解。
0<=x<2, 3<=y<=8时，2-x + y-3 = 8-x + 8-y, 2y=17, y=17/2>8,无解。
2<=x<=8,0<=y<3时，x-2 + 3-y = 8-x+8-y, 2x = 15, 解为x=15/2, 0<=y<3. 轨迹长度=3
2<=x<=8, 3<=y<=8时，x-2 + y-3 = 8-x+8-y, 2x+2y = 21, 解为x+y=21/2, 3<=x<=8,3<=y<=8.轨迹长度=5*2^(1/2)

轨迹长度之和 = 3 + 5*2^(1/2)

木有选项符合哈。。

Answer 3

d(C,A)=|x-2|+|y-3|
d(C,B)=|x-8|+|y-8|=16-(x+y) (0=<x=<8,0=<y=<8)
d(C,A)=d(C,B)
当x<2,y<3;
5-(x+y)=16-(x+y)不成立。
当x<2,y>=3; (y-x)=17-(x+y)
当x>=2,y<3; (x-y)=15-(x+y)
x+y=11
x-y=-1
长度之和=10