16.已知实数x,y满足约束条件$\left\{\begin{array}{l}x-y≥0\\ x+2y≤4\\ x-2y≤2\end{array}\right.$,如果目标函数z=x+ay的最大值为$\frac{16}{3}$,则实数a的值为( )
| A. | 3 | B. | $\frac{14}{3}$ | C. | 3或$\frac{14}{3}$ | D. | 3或$-\frac{11}{3}$ |
15.已知数列{an}满足a1=1,${a_2}=\frac{1}{3}$,若${a_n}({a_{n-1}}+2{a_{n+1}})=3{a_{n-1}}•{a_{n+1}}(n≥2,n∈{N^*})$,则数列{an}的通项an=( )
| A. | $\frac{1}{{{2^{n-1}}}}$ | B. | $\frac{1}{{{2^n}-1}}$ | C. | $\frac{1}{{{3^{n-1}}}}$ | D. | $\frac{1}{{{2^{n-1}}+1}}$ |
14.
如图所示,某地一天6~14时的温度变化曲线近似满足函数y=Asin(ωx+ϕ)+b,则这段曲线的函数解析式可以为( )
| A. | $y=10sin(\frac{π}{8}x+\frac{3π}{4})+20$,x∈[6,14] | B. | $y=10sin(\frac{π}{8}x+\frac{5π}{4})+20$,x∈[6,14] | ||
| C. | $y=10sin(\frac{π}{8}x-\frac{3π}{4})+20$,x∈[6,14] | D. | $y=10sin(\frac{π}{8}x+\frac{5π}{8})+20$,x∈[6,14] |
13.若等差数列{an}的前n项和Sn满足S4=4,S6=12,则S2=( )
| A. | -1 | B. | 0 | C. | 1 | D. | 3 |
12.已知z=(m+4)+(m-2)i在复平面内对应的点在第三象限,则实数m的取值范围是( )
0 238392 238400 238406 238410 238416 238418 238422 238428 238430 238436 238442 238446 238448 238452 238458 238460 238466 238470 238472 238476 238478 238482 238484 238486 238487 238488 238490 238491 238492 238494 238496 238500 238502 238506 238508 238512 238518 238520 238526 238530 238532 238536 238542 238548 238550 238556 238560 238562 238568 238572 238578 238586 266669
| A. | (-4,2) | B. | (-2,4) | C. | (2,+∞) | D. | (-∞,-4) |