15.若复数z=x+yi(x,y∈R+,i为虚数单位)满足z-$\frac{6}{z}$是纯虚数,则|z|=( )
A. | 0 | B. | $\sqrt{6}$ | C. | 6 | D. | 2$\sqrt{2}$ |
12.已知函数f(x)=sinx,0<x1<x2$<\frac{π}{2}$,则下列四个命题中正确的是( )
①[x1f(x1)-x2f(x2)](x1-x2)<0
②x2f(x1)>x1f(x2)
③f(x1)+x2>f(x2)+x1
④x1f(x1)+x2f(x2)>2x1f(x2)
①[x1f(x1)-x2f(x2)](x1-x2)<0
②x2f(x1)>x1f(x2)
③f(x1)+x2>f(x2)+x1
④x1f(x1)+x2f(x2)>2x1f(x2)
A. | ①②③ | B. | ①③④ | C. | ②④ | D. | ②③④ |
9.若点P(-3,y)是角α终边上一点,且sinα=-$\frac{2}{3}$,则y=( )
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A. | -$\frac{6\sqrt{5}}{5}$ | B. | ±$\frac{6\sqrt{5}}{5}$ | C. | $\frac{5}{2}$ | D. | ±$\frac{5}{2}$ |