下列說法正確的是( )
A.兩個(gè)位似圖形對(duì)應(yīng)點(diǎn)連線有可能無交點(diǎn)
B.兩個(gè)位似圖形對(duì)應(yīng)點(diǎn)連線交點(diǎn)個(gè)數(shù)為1或2
C.兩個(gè)位似圖形對(duì)應(yīng)點(diǎn)連線只有一個(gè)交點(diǎn)
D.兩個(gè)位似圖形對(duì)應(yīng)點(diǎn)連線交點(diǎn)個(gè)數(shù)不少于4個(gè)
【答案】分析:位似圖形對(duì)應(yīng)點(diǎn)連線必有交點(diǎn),且交點(diǎn)只有1個(gè).
解答:解:A、兩個(gè)位似圖形對(duì)應(yīng)點(diǎn)連線必有交點(diǎn),故本選項(xiàng)錯(cuò)誤;
B、兩個(gè)位似圖形對(duì)應(yīng)點(diǎn)連線只有1個(gè)交點(diǎn),故本選項(xiàng)錯(cuò)誤;
C、只有一個(gè)交點(diǎn)正確,故本選項(xiàng)正確;
D、交點(diǎn)只有1個(gè),故本選項(xiàng)錯(cuò)誤.
故選C.
點(diǎn)評(píng):本題主要考查了位似圖形的對(duì)應(yīng)點(diǎn)連線交點(diǎn)問題,即其連線必有交點(diǎn)且只有1個(gè),應(yīng)熟練掌握.