已知點(diǎn)P(x,x+y)與點(diǎn)Q(2y,6)關(guān)于原點(diǎn)對(duì)稱,求點(diǎn)P關(guān)于x軸對(duì)稱的點(diǎn)M的坐標(biāo)及點(diǎn)Q關(guān)手y軸對(duì)稱的點(diǎn)N的坐標(biāo).
∵點(diǎn)P(x,x+y)與點(diǎn)Q(2y,6)關(guān)于原點(diǎn)對(duì)稱,
∴
,
解得
,
∴點(diǎn)P(-12,-6),點(diǎn)Q(12,6);
∴點(diǎn)P關(guān)于x軸對(duì)稱的點(diǎn)M的坐標(biāo)是(-12,6);
點(diǎn)Q關(guān)手y軸對(duì)稱的點(diǎn)N的坐標(biāo)是(-12,6).