4.直线l1:ax-2y+2=0与直线l2:x+(a-3)y+1=0平行的充要条件是( )
| A. | a=1 | B. | a=2 | C. | a=6 | D. | a=1或a=2 |
2.抛物线y2=8x的准线方程是( )
| A. | x=2 | B. | y=2 | C. | x=-2 | D. | y=-2 |
1.已知双曲线$\frac{{x}^{2}}{{a}^{2}}-\frac{{y}^{2}}{{b}^{2}}$=1(a>0,b>0)的焦距为10,一条渐近线为y=$\frac{1}{2}$x,则该双曲线的方程为( )
| A. | $\frac{{x}^{2}}{20}-\frac{{y}^{2}}{5}$=1 | B. | $\frac{{x}^{2}}{5}-\frac{{y}^{2}}{20}$=1 | C. | $\frac{{x}^{2}}{80}-\frac{{y}^{2}}{20}$=1 | D. | $\frac{{x}^{2}}{20}-\frac{{y}^{2}}{80}$=1 |
20.已知等比数列{an}的公比为正数,且a3•a9=$\frac{1}{2}$a72,a2=1,则a1等于( )
| A. | $\frac{1}{2}$ | B. | $\frac{\sqrt{2}}{2}$ | C. | $\sqrt{2}$ | D. | 2 |
19.函数f(x)=$\sqrt{lo{g}_{0.5}(x-1)}$的定义域是( )
| A. | (1,2) | B. | (1,2] | C. | [1,2] | D. | (1,+∞) |
18.若i是虚数单位,则计算$\frac{1+7i}{2-i}$的结果为( )
| A. | 1+3i | B. | 1-3i | C. | -1+3i | D. | -1-3i |
17.已知平面向量$\overrightarrow{a}$=(1,-1),$\overrightarrow{b}$=(1,1),则向量$\frac{3}{2}\overrightarrow{a}$-$\frac{1}{2}\overrightarrow{b}$等于( )
| A. | (2,1) | B. | (1,-2) | C. | (1,0) | D. | (2,-1) |
16.函数f(x)=2cos($\frac{x}{2}+\frac{π}{4}$)(x∈R)的最小正周期为( )
0 235237 235245 235251 235255 235261 235263 235267 235273 235275 235281 235287 235291 235293 235297 235303 235305 235311 235315 235317 235321 235323 235327 235329 235331 235332 235333 235335 235336 235337 235339 235341 235345 235347 235351 235353 235357 235363 235365 235371 235375 235377 235381 235387 235393 235395 235401 235405 235407 235413 235417 235423 235431 266669
| A. | $\frac{π}{2}$ | B. | π | C. | 2π | D. | 4π |