10.圆心在直线$y=\frac{1}{3}x$上的圆C与y轴的正半轴相切,圆C截x轴所得的弦长为$4\sqrt{2}$,则圆C的标准方程为( )
| A. | (x-3)2+(y-1)2=9 | B. | (x+3)2+(y+1)2=9 | C. | ${({x-4})^2}+{({y-\frac{4}{3}})^2}=16$ | D. | (x-6)2+(y-2)2=9 |
9.已知三棱锥S-ABC,其三视图中的正(主)视图和侧(左)视图如图所示,则该三棱锥的体积为( )

| A. | $\frac{{8\sqrt{3}}}{3}$ | B. | $\frac{{16\sqrt{3}}}{3}$ | C. | $\frac{{32\sqrt{3}}}{3}$ | D. | $16\sqrt{3}$ |
8.已知平面向量$\overrightarrow a$,$\overrightarrow b$,$|{\overrightarrow a}|=1$,$|{\overrightarrow b}|=\sqrt{2}$,$\overrightarrow a•\overrightarrow b=1$,则向量$\overrightarrow a$,$\overrightarrow b$的夹角为( )
| A. | $\frac{π}{6}$ | B. | $\frac{π}{3}$ | C. | $\frac{π}{4}$ | D. | $\frac{π}{2}$ |
2.函数f(x)在定义域(0,+∞)内恒满足:①f(x)>0;②2f(x)<xf′(x)<3f(x),其中f′(x)为f(x)的导函数,则( )
| A. | $\frac{1}{4}$<$\frac{f(1)}{f(2)}$<$\frac{1}{2}$ | B. | $\frac{1}{16}$<$\frac{f(1)}{f(2)}$<$\frac{1}{8}$ | C. | $\frac{1}{3}$<$\frac{f(1)}{f(2)}$<$\frac{1}{2}$ | D. | $\frac{1}{8}$<$\frac{f(1)}{f(2)}$<$\frac{1}{4}$ |
1.已知正四面体A-BCD的棱长为1,且$\overrightarrow{AE}$=2$\overrightarrow{EB}$,$\overrightarrow{AF}$=2$\overrightarrow{FD}$,则$\overrightarrow{EF}$•$\overrightarrow{DC}$=( )
0 236544 236552 236558 236562 236568 236570 236574 236580 236582 236588 236594 236598 236600 236604 236610 236612 236618 236622 236624 236628 236630 236634 236636 236638 236639 236640 236642 236643 236644 236646 236648 236652 236654 236658 236660 236664 236670 236672 236678 236682 236684 236688 236694 236700 236702 236708 236712 236714 236720 236724 236730 236738 266669
| A. | $\frac{2}{3}$ | B. | $\frac{1}{3}$ | C. | -$\frac{2}{3}$ | D. | -$\frac{1}{3}$ |