10.若a,b,p(a≠0,b≠0,p>0)分别表示同一直线的横截距、纵截距及原点到直线的距离,则下列关系式成立的是( )
| A. | $\frac{1}{{a}^{2}}$+$\frac{1}{{b}^{2}}$=$\frac{1}{{p}^{2}}$ | B. | $\frac{1}{{a}^{2}}$-$\frac{1}{{b}^{2}}$=$\frac{1}{{p}^{2}}$ | C. | $\frac{1}{{a}^{2}}$+$\frac{1}{{p}^{2}}$=$\frac{1}{{b}^{2}}$ | D. | $\frac{1}{{a}^{2}{p}^{2}}$=$\frac{1}{{b}^{2}}$ |
8.函数y=2sin($\frac{π}{3}-\frac{x}{3}$)的单调递增区间是( )
| A. | [-$\frac{π}{2}$+2kπ,$\frac{π}{2}$+2kπ](k∈Z) | B. | [$\frac{π}{2}+2kπ$,$\frac{3}{2}$π+2kπ](k∈Z) | ||
| C. | [$\frac{5π}{2}$+6kπ,$\frac{11π}{2}$+6kπ](k∈Z) | D. | [-$\frac{π}{2}$+6kπ,$\frac{5}{2}$π+6kπ](k∈Z) |
7.已知数列{an}与{bn}满足bn+1-bn=3(an+1-an),n∈N*,在数列{an}中,an=$\frac{{n}^{2}}{3}$-16n,设数列{bn}中的最小项是第k项,则k等于( )
| A. | 30 | B. | 28 | C. | 26 | D. | 24 |
5.画出函数y=3sin(2x+$\frac{π}{3}$)(x∈R)的图象.
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| 2x+$\frac{π}{3}$ | 0 | $\frac{π}{2}$ | π | $\frac{3π}{2}$ | 2π |
| x | -$\frac{π}{6}$ | $\frac{π}{12}$ | $\frac{π}{3}$ | $\frac{7π}{12}$ | $\frac{5π}{6}$ |