The number of intersection point of the graphs of function 數(shù)學(xué)公式 and function y=kx(k≠0)is


  1. A.
    0
  2. B.
    1
  3. C.
    2
  4. D.
    0 or 2
D
分析:分類討論k的值,即可求出一次函數(shù)與反比例函數(shù)的交點(diǎn)個(gè)數(shù).
解答:無論k>0或k<0,
反比例函數(shù)y=的圖象都位于一、三象限,
當(dāng)k>0時(shí),y=kx經(jīng)過一、三象限,
y=與y=kx有兩個(gè)交點(diǎn);
當(dāng)k<0時(shí),y=kx經(jīng)過二、四象限,
y=與y=kx無交點(diǎn);
綜上所知一次函數(shù)y=kx與反比例函數(shù)y=的交點(diǎn)個(gè)數(shù)有0或2個(gè).
故選D.
點(diǎn)評:本題考查了反比例函數(shù)和一次函數(shù)的交點(diǎn)問題,是基礎(chǔ)知識要熟練掌握.
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