5.正方体ABCD-A1B1C1D1中直线BC1与平面BB1D1D所成角的余弦值是( )
| A. | $\frac{\sqrt{3}}{3}$ | B. | $\frac{\sqrt{2}}{2}$ | C. | $\frac{\sqrt{3}}{2}$ | D. | $\sqrt{3}$ |
4.已知函数f(x)=ex+ax,曲线y=f(x)在点(0,f(0))处的切线方程为y=1.
(1)求实数a的值及函数f(x)的单调区间;
(2)若b>0,f(x)≥b(b-1)x+c,求b2c的最大值.
(1)求实数a的值及函数f(x)的单调区间;
(2)若b>0,f(x)≥b(b-1)x+c,求b2c的最大值.
3.已知向量$\overrightarrow{a}$=(x,$\sqrt{3}$),$\overrightarrow{b}$=(3,-$\sqrt{3}$),若$\overrightarrow{a}$⊥$\overrightarrow{b}$,则|${\overrightarrow a}$|=( )
| A. | 1 | B. | $\sqrt{2}$ | C. | $\sqrt{3}$ | D. | 2 |
2.设集合A={x|x(x-3)≥0},B={x|x<1},则A∩B=( )
| A. | (-∞,0]∪[3,+∞) | B. | (-∞,1)∪[3,+∞) | C. | (-∞,1) | D. | (-∞,0] |
1.已知双曲线$\frac{x^2}{a^2}$-$\frac{y^2}{b^2}$=1(a>0,b>0)的右支上有一点A,它关于原点的对称点为B,点F为双曲线的右焦点,设∠ABF=θ,θ∈[$\frac{π}{6}$,$\frac{π}{4}$)且$\overrightarrow{AF}$•$\overrightarrow{BF}$=0,则双曲线离心率的最小值是( )
| A. | $\frac{{\sqrt{2}}}{2}$ | B. | $\sqrt{2}+1$ | C. | $\sqrt{3}$ | D. | $\sqrt{3}+1$ |
16.函数y=2cos(x-$\frac{π}{3}$)($\frac{π}{6}$≤x≤$\frac{2}{3}$π)的最小值是( )
0 233942 233950 233956 233960 233966 233968 233972 233978 233980 233986 233992 233996 233998 234002 234008 234010 234016 234020 234022 234026 234028 234032 234034 234036 234037 234038 234040 234041 234042 234044 234046 234050 234052 234056 234058 234062 234068 234070 234076 234080 234082 234086 234092 234098 234100 234106 234110 234112 234118 234122 234128 234136 266669
| A. | 1 | B. | -$\sqrt{3}$ | C. | -1 | D. | -2 |