3.向量$\vec a=(1,2),\;\;\vec b=(x,1)$,若$\vec a⊥(\vec a+\vec b)$,则实数x的值等于( )
| A. | $\frac{1}{2}$ | B. | -7 | C. | -2 | D. | 5 |
2.设等比数列{an}的公比q=2,前n项和为Sn,则$\frac{S_3}{a_3}$的值为( )
| A. | $\frac{15}{4}$ | B. | $\frac{15}{2}$ | C. | $\frac{7}{4}$ | D. | $\frac{7}{2}$ |
1.已知集合A={0,1},B={2,a2},且A∪B={0,1,2,4},则a的值为( )
| A. | 2 | B. | -2 | C. | 4 | D. | ±2 |
20.设函数$f(x)=\left\{\begin{array}{l}-1(-2≤x≤0)\\ x-1(0<x≤2)\end{array}\right.$,$g(x)=f(x)-\frac{1}{2}x,x∈[-2,2]$,若$g({log_2}a)+g({log_{\frac{1}{2}}}a)≤2g(\frac{1}{2})$,则实数a的取值范围是( )
| A. | $(0,\frac{1}{2}]$ | B. | $[1,\sqrt{2}]$ | C. | $[\frac{1}{2},2]$ | D. | $[\frac{{\sqrt{2}}}{2},\sqrt{2}]$ |
16.若p:θ=$\frac{π}{2}$+2kπ,k∈Z,q:y=cos(ωx+θ)(ω≠0)是奇函数,则p是q的( )
| A. | 充要条件 | B. | 充分不必要条件 | ||
| C. | 必要不充分条件 | D. | 既不充分也不必要的条件 |
15.已知集合A={1,2,3,4},B={x∈Z||x|≤1},则A∩(∁ZB)=( )
| A. | ∅ | B. | {4} | C. | {3,4} | D. | {2,3,4} |
14.已知抛物线x2=4py(p>0)的焦点F,直线y=x+2与该抛物线交于A,B两点,M是线段AB的中点,过M作x轴的垂线,垂足为N,若$\overrightarrow{AF}$•$\overrightarrow{BF}$+($\overrightarrow{AF}$+$\overrightarrow{BF}$)•$\overrightarrow{FN}$=-1-5p2,则p的值为( )
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| A. | $\frac{1}{4}$ | B. | $\frac{1}{2}$ | C. | 1 | D. | 2 |