1.曲线y=12x2-2x在点(1,-32)处的切线的倾斜角为( )
A.-1 B.45°
C.-45° D.135°
解析:∵y′=x-2,∴k=1-2=-1,故倾斜角为135°.
答案:D
2.若z=1+2ii,则复数z=( )
A.-2-i B.-2+i
C.2-i D.2+i
解析:∵z=1+2ii=?1+2i?i-1=2-i,∴z=2+i.
答案:D
3.已知数列{an}中,a1=1,且an+1=an1+an(n≥1),则这个数列的通项公式是( )
A.n B.1n
C.n+1 D.1n+1
解析:由a1=1,an+1=an1+an(n≥1)得
a2=a11+a1=12,a3=a21+a2=13,
a4=a31+a3=14,则归纳出an=1n.
答案:B