18.已知直线x+ay=a+2(a∈R)与圆x2+y2-2x-2y-7=0交于M,N两点,则线段MN的长的最小值为( )
| A. | $4\sqrt{2}$ | B. | $2\sqrt{2}$ | C. | 2 | D. | $\sqrt{2}$ |
17.已知命题p:?x∈R,ex+x3+2x2+4≠0,则?p为( )
| A. | ?x0∈R,使得lnx0+x03+2x02+4=0 | B. | ?x0∈R,使得ex0+x03+2x02+4≠0 | ||
| C. | ?x∈R,使得ex+x3+2x2+4=0 | D. | ?x0∈R,使得ex0+x03+2x02+4=0 |
16.复数$\frac{3i}{1-i}$(i是虚数单位)的虚部是( )
| A. | $\frac{3}{2}i$ | B. | $\frac{3}{2}$ | C. | $-\frac{3}{2}i$ | D. | $-\frac{3}{2}$ |
15.已知命题p:?m∈R,使得函数f(x)=x2+(m-1)x2-2是奇函数,命题q:向量$\overrightarrow{a}$=(x1,y1),$\overrightarrow{b}$=(x2,y2),则“$\frac{{x}_{1}}{{x}_{2}}$=$\frac{{y}_{1}}{{y}_{2}}$”是:“$\overrightarrow{a}$$∥\overrightarrow{b}$”的充要条件,则下列命题为真命题的是( )
| A. | p∧q | B. | (¬p)∧q | C. | p∧(¬q) | D. | (¬p)∧(¬q) |
14.已知f(x)是一次函数,且f[f(x)]=x+2,则f(x)=( )
| A. | x+1 | B. | 2x-1 | C. | -x+1 | D. | x+1或-x-1 |
13.已知集合M={0,1,2},N={y|y=sin$\frac{π}{2}$x,x∈M},则M∩N=( )
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| A. | {-1,0,1} | B. | {-1,0} | C. | {0,1} | D. | {0,1,2} |