17.已知G为△ABC的重心,过G的直线交AB于P,交AC于Q,设$\frac{AP}{PB}$=a,$\frac{AQ}{QC}$=b,则$\frac{1}{a}$+$\frac{1}{b}$=1.
16.
如图,?ABCD中,AE=EF=FB,CE交DF,DB于M,N,则EM:MN:NC=( )
| A. | 5:4:12 | B. | 5:3:12 | C. | 4:3:5 | D. | 2:1:4 |
15.
如图,A、B分别为反比例函数y=-$\frac{2}{x}$(x<0),y=$\frac{8}{x}$(x>0)图象上的点,且OA⊥OB,则sin∠ABO的值为( )
| A. | $\frac{\sqrt{2}}{5}$ | B. | $\frac{\sqrt{3}}{5}$ | C. | $\frac{\sqrt{5}}{5}$ | D. | $\frac{\sqrt{7}}{5}$ |
12.在一个不透明的口袋中装有5个完全相同的小球,把它们分别标号为1、2、3、4、5,从中随机摸出一个小球,其标号小于3的概率为( )
| A. | $\frac{1}{5}$ | B. | $\frac{2}{5}$ | C. | $\frac{3}{5}$ | D. | $\frac{4}{5}$ |
11.两个不等的实数a、b满足a2+a-1=0,b2+b-1=0,则ab的值为( )
0 293031 293039 293045 293049 293055 293057 293061 293067 293069 293075 293081 293085 293087 293091 293097 293099 293105 293109 293111 293115 293117 293121 293123 293125 293126 293127 293129 293130 293131 293133 293135 293139 293141 293145 293147 293151 293157 293159 293165 293169 293171 293175 293181 293187 293189 293195 293199 293201 293207 293211 293217 293225 366461
| A. | 1 | B. | -1 | C. | $\frac{{-1±\sqrt{5}}}{2}$ | D. | $\sqrt{2}$ |