点P（-1，3）关于直线x-2y+3=0的对称点Q的坐标为(35，−15)(35，−15)．

Question

点P（-1，3）关于直线x-2y+3=0的对称点Q的坐标为

((3)/(5)，−(1)/(5))

((3)/(5)，−(1)/(5))

．

((3)/(5)，−(1)/(5))

((3)/(5)，−(1)/(5))(3)/(5)3355(1)/(5)1155

((3)/(5)，−(1)/(5))

((3)/(5)，−(1)/(5))(3)/(5)3355(1)/(5)1155

Answer 1

点P（-1，3）关于直线x-2y+3=0的对称点Q的坐标（a，b），
则(b−3)/(a+1)×(1)/(2)=-1，且
(a−1)/(2)+2×(b+3)/(2)+3=0，
解得a=(3)/(5)且b=−(1)/(5)，
故答案为：((3)/(5)，−(1)/(5)) (b−3)/(a+1)b−3b−3b−3a+1a+1a+1×(1)/(2)=-1，且
(a−1)/(2)+2×(b+3)/(2)+3=0，
解得a=(3)/(5)且b=−(1)/(5)，
故答案为：((3)/(5)，−(1)/(5)) (1)/(2)111222=-1，且
(a−1)/(2)+2×(b+3)/(2)+3=0，
解得a=(3)/(5)且b=−(1)/(5)，
故答案为：((3)/(5)，−(1)/(5)) (a−1)/(2)a−1a−1a−1222+2×(b+3)/(2)+3=0，
解得a=(3)/(5)且b=−(1)/(5)，
故答案为：((3)/(5)，−(1)/(5)) (b+3)/(2)b+3b+3b+3222+3=0，
解得a=(3)/(5)且b=−(1)/(5)，
故答案为：((3)/(5)，−(1)/(5)) (3)/(5)333555且b=−(1)/(5)，
故答案为：((3)/(5)，−(1)/(5)) −(1)/(5)111555，
故答案为：((3)/(5)，−(1)/(5)) ((3)/(5)333555，−(1)/(5)111555)