17.已知函数f(x)满足:f(x)≥|x|且f(x)≥2x,x∈R.( )
| A. | 若f(a)≤|b|,则a≤b | B. | 若f(a)≤2b,则a≤b | C. | 若f(a)≥|b|,则a≥b | D. | 若f(a)≥2b,则a≥b |
16.已知实数a,b,c.( )
| A. | 若|a2+b+c|+|a+b2+c|≤1,则a2+b2+c2<100 | |
| B. | 若|a2+b+c|+|a2+b-c|≤1,则a2+b2+c2<100 | |
| C. | 若|a+b+c2|+|a+b-c2|≤1,则a2+b2+c2<100 | |
| D. | 若|a2+b+c|+|a+b2-c|≤1,则a2+b2+c2<100 |
15.在平面上,过点P作直线l的垂线所得的垂足称为点P在直线l上的投影,由区域$\left\{\begin{array}{l}{x-2≤0}\\{x+y≥0}\\{x-3y+4≥0}\end{array}\right.$中的点在直线x+y-2=0上的投影构成的线段记为AB,则|AB|=( )
| A. | 2$\sqrt{2}$ | B. | 4 | C. | 3$\sqrt{2}$ | D. | 6 |
13.已知3$\overrightarrow{a}$+4$\overrightarrow{b}$+5$\overrightarrow{c}$=0,且|$\overrightarrow{a}$|=|$\overrightarrow{b}$|=|$\overrightarrow{c}$|=1,则$\overrightarrow{a}$•($\overrightarrow{b}$+$\overrightarrow{c}$)=( )
0 228953 228961 228967 228971 228977 228979 228983 228989 228991 228997 229003 229007 229009 229013 229019 229021 229027 229031 229033 229037 229039 229043 229045 229047 229048 229049 229051 229052 229053 229055 229057 229061 229063 229067 229069 229073 229079 229081 229087 229091 229093 229097 229103 229109 229111 229117 229121 229123 229129 229133 229139 229147 266669
| A. | 0 | B. | -$\frac{3}{5}$ | C. | $\frac{3}{5}$ | D. | -$\frac{4}{5}$ |