11.已知曲线y=ex+a与y=(x-1)2恰好存在两条公切线,则实数a的取值范围为( )
| A. | (-∞,2ln2+3) | B. | (-∞,2ln2-3) | C. | (2ln2-3,+∞) | D. | (2ln2+3,+∞) |
10.某三棱锥的三视图如图所示,则该三棱锥的表面积为( )

| A. | $4\sqrt{3}+8+2\sqrt{19}$ | B. | $4\sqrt{3}+8+4\sqrt{19}$ | C. | $8\sqrt{3}+8+4\sqrt{19}$ | D. | $8\sqrt{3}+8+2\sqrt{19}$ |
9.已知sinα=$\frac{{2\sqrt{2}}}{3}$,cos(α+β)=-$\frac{1}{3}$,且α,β∈(0,$\frac{π}{2}$),则sin(α-β)的值等于( )
| A. | $-\frac{1}{2}$ | B. | $\frac{1}{2}$ | C. | $-\frac{1}{3}$ | D. | $\frac{{10\sqrt{2}}}{27}$ |
8.已知|$\overrightarrow a$|=4cos$\frac{π}{8}$,|$\overrightarrow b$|=2sin$\frac{π}{8}$,$\overrightarrow a$•$\overrightarrow b$=-$\sqrt{2}$,则$\overrightarrow a$与$\overrightarrow b$的夹角为( )
| A. | $\frac{π}{3}$ | B. | $\frac{π}{4}$ | C. | $\frac{3π}{4}$ | D. | $\frac{2π}{3}$ |
7.在等差数列{an}中,已知a1=3,a9=11则前9项和S9=( )
| A. | 63 | B. | 65 | C. | 72 | D. | 62 |
6.当x∈(0,5]时,函数f(x)=3x2-4x+c的值域为( )
| A. | [f(0),f(5)] | B. | [f(0),f($\frac{2}{3}$)] | C. | [f($\frac{2}{3}$),f(5)] | D. | [c,f(5)] |
5.函数f(x)在(0,+∞)上为增函数,则不等式f(x)>f(8x-16)的解集为( )
| A. | (2,$\frac{16}{7}$) | B. | (-∞,2) | C. | ($\frac{16}{7}$,+∞) | D. | (2,+∞) |
4.已知cot(α+$\frac{π}{3}}$)=-3,则tan(2α-$\frac{π}{3}}$)=( )
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| A. | $\frac{1}{3}$ | B. | $-\frac{1}{3}$ | C. | $\frac{4}{3}$ | D. | $-\frac{3}{4}$ |