11.在区间(0,2)内随机取出两个数x,y,则1,x2,y能作为三角形三条边的概率为( )
| A. | $\frac{{\sqrt{3}+1}}{4}$ | B. | $\frac{{\sqrt{3}-1}}{2}$ | C. | $\frac{{3-\sqrt{3}}}{4}$ | D. | $\frac{{3-\sqrt{3}}}{2}$ |
10.已知椭圆$\frac{x^2}{a^2}+\frac{y^2}{b^2}$=1(a>b>0)的右焦点为F,上顶点为A,若直线AF与圆O:x2+y2=$\frac{{3{a^2}}}{16}$相离,则该椭圆离心率的取值范围是( )
| A. | $(0,\frac{1}{2})$ | B. | $(\frac{1}{2},\frac{{\sqrt{3}}}{2})$ | C. | $(\frac{1}{2},1)$ | D. | $(\frac{{\sqrt{3}}}{2},1)$ |
9.若$a={5^{-\frac{1}{2}}},b={log_2}$3,c=ln2,则( )
| A. | a<b<c | B. | b<a<c | C. | a<c<b | D. | c<a<b |
7.若$tan(θ+\frac{π}{4})=3$,则cos2θ+sin2θ=( )
| A. | $\frac{4}{5}$ | B. | $\frac{6}{5}$ | C. | $\frac{8}{5}$ | D. | 2 |
6.长方体ABCD-A1B1C1D1中,AB=BC=1,CC1=$\sqrt{2}$,则异面直线AC与BA1所成角的余弦值为( )
| A. | $\frac{{\sqrt{30}}}{6}$ | B. | $\frac{2}{3}$ | C. | $\frac{{\sqrt{6}}}{3}$ | D. | $\frac{{\sqrt{6}}}{6}$ |
5.定义A-B={x|x∈A且x∉B}.已知A={1,2},B={1,3,4},则B-A=( )
| A. | {1} | B. | {2} | C. | {3,4} | D. | {1,2,3,4} |
4.已知命题p:?x∈R,x+1≤ex,则¬p( )
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| A. | ?x∈R,x+1>ex | B. | ?x∈R,x+1≥ex | C. | ?x∈R,x+1≥ex | D. | ?x∈R,x+1>ex |