20.在正方形ABCD的边长为1,$\overrightarrow{DE}$=2$\overrightarrow{EC}$,$\overrightarrow{DF}$=$\frac{1}{2}$($\overrightarrow{DC}$+$\overrightarrow{DB}$),则$\overrightarrow{BE}$•$\overrightarrow{DF}$的值为( )
| A. | -$\frac{5}{6}$ | B. | $\frac{5}{6}$ | C. | -$\frac{1}{6}$ | D. | $\frac{1}{6}$ |
19.在△ABC中,已知AB=2$\sqrt{3}$,AC=2,∠B=30°,则△ABC的面积是( )
| A. | $\sqrt{3}$ | B. | 2$\sqrt{3}$ | C. | $\frac{\sqrt{3}}{2}$ | D. | $\sqrt{3}$或2$\sqrt{3}$ |
18.已知等差数列{an}中,3a5+7a11=8,Sn是{an}的前n项和,则S9+S21=( )
| A. | 8 | B. | 16 | C. | 24 | D. | 32 |
17.已知等比数列{an}的各项均为正数,公比q≠1,设P=$\sqrt{{a}_{4}•{a}_{8}}$,Q=$\frac{{a}_{3}+{a}_{9}}{2}$,则P与Q的大小关系( )
| A. | P>Q | B. | P<Q | C. | P=Q | D. | 无法确定 |
16.已知△ABC满足c2-a2-b2-$\sqrt{3}$ab=0,则角C的大小为( )
| A. | $\frac{π}{6}$ | B. | $\frac{π}{3}$ | C. | $\frac{2π}{3}$ | D. | $\frac{5π}{6}$ |
15.已知向量$\overrightarrow{a}$=(6,x),$\overrightarrow{b}$=(2,-4),若$\overrightarrow{a}$⊥$\overrightarrow{b}$,则x=( )
| A. | 3 | B. | -3 | C. | 12 | D. | -12 |
13.当z=-$\frac{1-i}{{\sqrt{2}}}$时,z100+z50+1的值等于( )
| A. | 1 | B. | -1 | C. | i | D. | -i |
12.在等比数列{an}中,a2a3=5,a5a6=10,则a8a9=( )
0 229620 229628 229634 229638 229644 229646 229650 229656 229658 229664 229670 229674 229676 229680 229686 229688 229694 229698 229700 229704 229706 229710 229712 229714 229715 229716 229718 229719 229720 229722 229724 229728 229730 229734 229736 229740 229746 229748 229754 229758 229760 229764 229770 229776 229778 229784 229788 229790 229796 229800 229806 229814 266669
| A. | 15 | B. | 20 | C. | 25 | D. | 40 |