如果點(diǎn)A(t-3s,2t+3s),B(17-2t+s,3t+2s-5)關(guān)于x軸對(duì)稱,則點(diǎn)P(s,t)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)是
(2,3)
(2,3)
分析:首先根據(jù)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)特點(diǎn)可得
t-3s=17-2t+s
2t+3s=-(3t+2s-5)
,解得s、t的值,再寫出P點(diǎn)坐標(biāo),根據(jù)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)特點(diǎn)可直接得到答案.
解答:解:∵點(diǎn)A(t-3s,2t+3s),B(17-2t+s,3t+2s-5)關(guān)于x軸對(duì)稱,
t-3s=17-2t+s
2t+3s=-(3t+2s-5)
,
解得:
s=-2
t=3
,
∴點(diǎn)P(-2,3),
∴關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)是(2,3),
故答案為:(2,3).
點(diǎn)評(píng):此題主要考查了關(guān)于x、y軸對(duì)稱的點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):
橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù).
即點(diǎn)P(x,y)關(guān)于x軸的對(duì)稱點(diǎn)P′的坐標(biāo)是(x,-y).
關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):
橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變.
即點(diǎn)P(x,y)關(guān)于y軸的對(duì)稱點(diǎn)P′的坐標(biāo)是(-x,y).
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