12.已知tanθ=2,则$\frac{1-sin2θ}{{2{{cos}^2}θ}}$的值为( )
| A. | $\frac{1}{2}$ | B. | $\frac{3}{2}$ | C. | $-\frac{1}{2}$ | D. | $-\frac{3}{2}$ |
11.
函数f(x)=sin(ωx+φ),(x∈R,ω>0,0<φ<π)的部分图象如图所示,则( )
| A. | $ω=\frac{π}{2},φ=\frac{π}{4}$ | B. | $ω=\frac{π}{3},φ=\frac{π}{6}$ | C. | $ω=\frac{π}{4},φ=\frac{π}{4}$ | D. | $ω=\frac{π}{4},φ=\frac{3π}{4}$ |
9.已知等差数列{an}的前n项为Sn,且a1+a5=-14,S9=-27,则使得Sn取最小值时的n为( )
| A. | 1 | B. | 6 | C. | 7 | D. | 6或7 |
6.
已知Rt△ABC的三边长分别为AB=5,BC=4,AC=3,在平面直角坐标系中,△ABC的初始位置如图(图中CB⊥x轴),现将△ABC沿x轴滚动,设点A(x,y)的轨迹方程是y=f(x),则f(2017)=( )
| A. | $\sqrt{21}$ | B. | $2\sqrt{6}$ | C. | 4 | D. | 0 |
5.在△OAB中,$\overrightarrow{OA}$=4$\overrightarrow{OC}$,$\overrightarrow{OB}$=2$\overrightarrow{OD}$,AD,BC的交点为M,过M作动直线l分别交线段AC,BD于E,F两点,若$\overrightarrow{OE}$=λ$\overrightarrow{OA}$,$\overrightarrow{OF}$=μ$\overrightarrow{OB}$,(λ,μ>0),则λ+μ的最小值为( )
| A. | $\frac{{2+\sqrt{3}}}{7}$ | B. | $\frac{{3+\sqrt{3}}}{7}$ | C. | $\frac{{3+2\sqrt{3}}}{7}$ | D. | $\frac{{4+2\sqrt{3}}}{7}$ |
3.已知等差数列{an},{bn}的前n项和分别为Sn,Tn,若对于任意的自然数n,都有$\frac{S_n}{T_n}$=$\frac{2n-3}{4n-3}$,则$\frac{{{a_3}+{a_{15}}}}{{2({{b_3}+{b_9}})}}$+$\frac{a_3}{{{b_2}+{b_{10}}}}$=( )
0 233963 233971 233977 233981 233987 233989 233993 233999 234001 234007 234013 234017 234019 234023 234029 234031 234037 234041 234043 234047 234049 234053 234055 234057 234058 234059 234061 234062 234063 234065 234067 234071 234073 234077 234079 234083 234089 234091 234097 234101 234103 234107 234113 234119 234121 234127 234131 234133 234139 234143 234149 234157 266669
| A. | $\frac{19}{41}$ | B. | $\frac{17}{37}$ | C. | $\frac{7}{15}$ | D. | $\frac{20}{41}$ |