7.若点P(cosθ,sinθ)在直线2x+y=0上,则cos2θ+$\frac{1}{2}$sin2θ=( )
| A. | -1 | B. | -$\frac{1}{2}$ | C. | $\frac{7}{5}$ | D. | $\frac{7}{2}$ |
6.
若函数y=Asin(ωx+φ)(A>0,ω>0,|φ|<$\frac{π}{2}$)在一个周期内的图象如图所示,M,N分别是这段图象的最高点与最低点,且OM⊥ON,则A=( )
| A. | $\frac{π}{6}$ | B. | $\frac{\sqrt{7}π}{12}$ | C. | $\frac{\sqrt{7}π}{6}$ | D. | $\frac{\sqrt{7}π}{3}$ |
5.设向量$\overrightarrow{a}$=(1,2),$\overrightarrow{b}$=(2,1),若向量$\overrightarrow{a}$-λ$\overrightarrow{b}$与向量$\overrightarrow{c}$=(5,-2)共线,则λ的值为( )
| A. | $\frac{4}{3}$ | B. | $\frac{4}{13}$ | C. | -$\frac{4}{9}$ | D. | 4 |
4.已知sin($\frac{π}{2}$+α)=-$\frac{3}{5}$,且α∈(-π,0),则tanα=( )
| A. | $\frac{4}{3}$ | B. | $\frac{3}{4}$ | C. | -$\frac{4}{3}$ | D. | ±$\frac{3}{4}$ |
3.函数f(x)=log2x-$\frac{1}{x-1}$的零点个数是( )
| A. | 0 | B. | 1 | C. | 2 | D. | 3 |
2.设角α的终边与单位圆相交于点P(-$\frac{3}{5}$,$\frac{4}{5}$),则sinα-cosα的值是( )
| A. | -$\frac{7}{5}$ | B. | -$\frac{1}{5}$ | C. | $\frac{1}{5}$ | D. | $\frac{7}{5}$ |
1.下列函数中,在(0,+∞)上单调递减的是( )
| A. | y=|x-1| | B. | y=log2x | C. | y=(x+1)2 | D. | y=($\frac{1}{2}$)x |
20.设函数f(x)=$\left\{\begin{array}{l}{lo{g}_{2}x(x>1)}\\{{x}^{2}+1(x≤1)}\end{array}\right.$,则f(f(1))的值为( )
| A. | -1 | B. | 0 | C. | 1 | D. | 2 |
19.设集合M=(x∈N*||x|≤2},N={2,6},则M∩N=( )
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| A. | {1,2,2,6} | B. | {1,2,6} | C. | {2} | D. | {1,6} |