4.若二次函数y=f(x)在x=2处取最大值,则( )
| A. | f(x-2)一定为奇函数 | B. | f(x-2)一定为偶函数 | ||
| C. | f(x+2)一定为奇函数 | D. | f(x+2)一定为偶函数 |
2.在?ABCD中,设$\overrightarrow{AB}$=$\overrightarrow{a}$,$\overrightarrow{AD}$=$\overrightarrow{b}$,$\overrightarrow{AC}$=$\overrightarrow{c}$,$\overrightarrow{BD}$=$\overrightarrow{d}$,则下列等式中不正确的是( )
| A. | $\overrightarrow{a}+\overrightarrow{b}$=$\overrightarrow{c}$ | B. | $\overrightarrow{a}$-$\overrightarrow{b}$=$\overrightarrow{d}$ | C. | $\overrightarrow{b}$-$\overrightarrow{a}$=$\overrightarrow{d}$ | D. | $\overrightarrow{c}$-$\overrightarrow{d}$=2$\overrightarrow{a}$ |
20.数列{an}中,a1=1,an+1=an+2n-1,则a6=( )
| A. | 31 | B. | 32 | C. | 63 | D. | 64 |
19.下列求导运算正确的是( )
| A. | ${({\frac{1}{x}})^′}=\frac{1}{x^2}$ | B. | ${({log_2}x)^’}=\frac{1}{xln2}$ | ||
| C. | (3x)′=3xlog3e | D. | ${({\frac{e^x}{x}})^′}=\frac{{x{e^x}+{e^x}}}{x^2}$ |
15.已知$\overrightarrow a,\overrightarrow b$为单位向量,且$\overrightarrow a⊥\overrightarrow b$,向量$\overrightarrow c$满足$|{\overrightarrow c+\overrightarrow a+\overrightarrow b}|=3$,则$|{\overrightarrow c}|$的取值范围为( )
0 240344 240352 240358 240362 240368 240370 240374 240380 240382 240388 240394 240398 240400 240404 240410 240412 240418 240422 240424 240428 240430 240434 240436 240438 240439 240440 240442 240443 240444 240446 240448 240452 240454 240458 240460 240464 240470 240472 240478 240482 240484 240488 240494 240500 240502 240508 240512 240514 240520 240524 240530 240538 266669
| A. | $[1,1+\sqrt{2}]$ | B. | $[2-\sqrt{2},2+\sqrt{2}]$ | C. | $[\sqrt{2},2\sqrt{2}]$ | D. | $[3-\sqrt{2},3+\sqrt{2}]$ |