9.已知四边形ABCD是菱形,点P在对角线AC上(不包括端点A、C),则$\overrightarrow{AP}$=( )
A. | λ($\overrightarrow{AB}$+$\overrightarrow{BC}$) λ∈(0,1) | B. | λ($\overrightarrow{AB}$+$\overrightarrow{BC}$) λ∈(0,$\frac{\sqrt{2}}{2}$) | C. | λ($\overrightarrow{AB}$-$\overrightarrow{BC}$) λ∈(0,1) | D. | λ($\overrightarrow{AB}$-$\overrightarrow{BC}$) λ∈(0,$\frac{\sqrt{2}}{2}$) |
8.θ是第二象限角,则下列选项中一定为正值的是( )
A. | sin$\frac{θ}{2}$ | B. | cos$\frac{θ}{2}$ | C. | tan$\frac{θ}{2}$ | D. | cos2θ |
7.在△ABC中,a=2,b=3,A=$\frac{π}{6}$,则cosB的值为( )
A. | $\frac{\sqrt{7}}{4}$ | B. | $\frac{4}{5}$ | C. | ±$\frac{\sqrt{7}}{4}$ | D. | ±$\frac{4}{5}$ |
6.已知sinα+cosα=-$\frac{1}{2}$,α∈(0,π),则tanα=( )
A. | $\frac{-4+\sqrt{7}}{3}$ | B. | $\frac{-4±\sqrt{7}}{3}$ | C. | $\frac{4-\sqrt{7}}{3}$ | D. | $\frac{-4-\sqrt{7}}{3}$ |
5.已知集合M={y|y=x+2},N={(x,y)|y=x2},则M∩N=( )
A. | ∅ | B. | {y|y≥0} | C. | {(2,4),(-1,1)} | D. | {y|y>0} |
4.在△ABC中,若cosA=$\frac{4}{5}$,cosB=$\frac{5}{13}$,则cosC的值是( )
0 252750 252758 252764 252768 252774 252776 252780 252786 252788 252794 252800 252804 252806 252810 252816 252818 252824 252828 252830 252834 252836 252840 252842 252844 252845 252846 252848 252849 252850 252852 252854 252858 252860 252864 252866 252870 252876 252878 252884 252888 252890 252894 252900 252906 252908 252914 252918 252920 252926 252930 252936 252944 266669
A. | $\frac{16}{65}$ | B. | $\frac{56}{65}$ | C. | $\frac{16}{65}$或$\frac{56}{65}$ | D. | -$\frac{16}{65}$ |