5.对于集合{a1,a2,…,an}和常数a0,定义:w=$\frac{sin({a}_{1}-{a}_{0})^{2}+sin({a}_{2}-{a}_{0})^{2}+…+sin({a}_{n}-{a}_{0})^{2}}{n}$为集合{a1,a2,…,an}相对于a0的“正弦方差”,则集合{$\frac{π}{2}$,$\frac{5π}{6}$,$\frac{7π}{6}$}相对a0的“正弦方差”为( )
| A. | $\frac{1}{3}$ | B. | $\frac{1}{2}$ | C. | $\frac{{a}_{0}}{4}$ | D. | $\frac{{a}_{0}}{3}$ |
18.已知函数f(x)=$\left\{\begin{array}{l}{{x}^{2}+2x(x≥0)}\\{2x{-x}^{2}(x<0)}\end{array}\right.$,函数g(x)=|f(x)|-1,若g(2-a2)>g(a),则实数a的取值范围是( )
0 234890 234898 234904 234908 234914 234916 234920 234926 234928 234934 234940 234944 234946 234950 234956 234958 234964 234968 234970 234974 234976 234980 234982 234984 234985 234986 234988 234989 234990 234992 234994 234998 235000 235004 235006 235010 235016 235018 235024 235028 235030 235034 235040 235046 235048 235054 235058 235060 235066 235070 235076 235084 266669
| A. | (-2,1) | B. | (-∞,-2)U(2,+∞) | C. | (-2,2) | D. | (-∞,-2)U(-1,1)U(2,+∞) |