已知點(diǎn)M(a,b)與N關(guān)于x軸對(duì)稱,點(diǎn)P與點(diǎn)N關(guān)于y軸對(duì)稱,點(diǎn)Q與點(diǎn)P關(guān)于直線x+y=0對(duì)稱,則點(diǎn)Q的坐標(biāo)為( )
A.(a,b)
B.(b,a)
C.(-a,-b)
D.(-b,-a)
【答案】分析:兩點(diǎn)關(guān)于x軸對(duì)稱,對(duì)橫同縱反,關(guān)于y軸對(duì)稱則縱同橫反,關(guān)于直線x+y=0對(duì)稱,則一點(diǎn)的橫坐標(biāo)的相反數(shù)為另一點(diǎn)的縱坐標(biāo),縱坐標(biāo)的相反數(shù)為另一點(diǎn)的橫坐標(biāo),依此規(guī)則求值即可.
解答:解:已知點(diǎn)M(a,b)與N關(guān)于x軸對(duì)稱,∴N(a,-b),
點(diǎn)P與點(diǎn)N關(guān)于y軸對(duì)稱,∴P(-a,-b),
點(diǎn)Q與點(diǎn)P關(guān)于直線x+y=0對(duì)稱,則Q(b,a).
故選B.
點(diǎn)評(píng):考查點(diǎn)關(guān)于特殊直線線的對(duì)稱問題,其規(guī)律應(yīng)牢記,這會(huì)給做題帶來方便.