19.设点P在△ABC的BC边所在的直线上从左到右运动,设△ABP与△ACP的外接圆面积之比为λ,当点P不与B,C重合时,( )
| A. | λ先变小再变大 | B. | 当M为线段BC中点时,λ最大 | ||
| C. | λ先变大再变小 | D. | λ是一个定值 |
18.
设F为双曲线$\frac{{x}^{2}}{{a}^{2}}$-$\frac{{y}^{2}}{{b}^{2}}$=1(a>b>0)的右焦点,过点F的直线分别交两条渐近线于A,B两点,OA⊥AB,若2|AB|=|OA|+|OB|,则该双曲线的离心率为( )
| A. | $\sqrt{3}$ | B. | 2 | C. | $\frac{\sqrt{5}}{2}$ | D. | $\sqrt{5}$ |
17.设A,B是函数f(x)=sin|ωx|与y=-1的图象的相邻两个交点,若|AB|min=2π,则正实数ω=( )
| A. | $\frac{1}{2}$ | B. | 1 | C. | $\frac{3}{2}$ | D. | 2 |
16.若实数x,y满足不等式组$\left\{\begin{array}{l}{x-y+2≥0}\\{x+y-4≤0}\\{y≥2}\end{array}\right.$,则z=2x-y的最小值等于( )
| A. | -1 | B. | 1 | C. | 2 | D. | -2 |
15.设向量$\overrightarrow{a}$=(-1,-1,1),$\overrightarrow{b}$=(-1,0,1),则cos<$\overrightarrow{a}$,$\overrightarrow{b}$>=( )
| A. | $\frac{1}{2}$ | B. | $\frac{\sqrt{2}}{2}$ | C. | $\frac{\sqrt{3}}{2}$ | D. | $\frac{\sqrt{6}}{3}$ |
14.设d为点P(1,0)到直线x-2y+1=0的距离,则d=( )
| A. | $\frac{\sqrt{5}}{5}$ | B. | $\frac{2\sqrt{5}}{5}$ | C. | $\frac{3\sqrt{5}}{5}$ | D. | $\frac{4\sqrt{5}}{5}$ |
13.设集合A={x|x≤3,x∈N*},B={-2,0,2,3},则A∩B=( )
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| A. | {3} | B. | {2,3} | C. | {0,2,3} | D. | {-2,0,2} |