1.反比例函数图象过点(-2,3),则它一定经过( )
A.(-2,-3) B.(3,2)
C.(3,-2) D.(-3,-2)
解析:设f(x)=(k≠0),∵f(x)过(-2,3),∴=3,∴k=-6,f(x)=-,过(3,-2)点.故选C.
答案:C
2.已知抛物线与x轴交于点(-1,0),(1,0),并且与y轴交于点(0,1),则抛物线的解析式为( )
A.y=-x2+1 B.y=x2+1
C.y=-x2-1 D.y=x2-1
解析:设f(x)=a(x-1)(x+1)(a≠0),
∵过(0,1)点,
∴f(0)=-a=1,
∴a=-1,
∴f(x)=-(x-1)(x+1)=-x2+1,故选A.
答案:A
3.函数y=ax2+bx与y=ax+b(ab≠0)的图象只能是( )