5.若角α的终边落在直线y=3x上,则cosα的值为( )
A. | ±$\frac{\sqrt{10}}{5}$ | B. | ±$\frac{\sqrt{10}}{10}$ | C. | ±$\frac{1}{3}$ | D. | ±$\frac{1}{5}$ |
4.下列函数中,定义域为[1,+∞)的是( )
A. | y=$\sqrt{x-1}$+$\sqrt{x+1}$ | B. | y=(x-1)2 | C. | y=($\frac{1}{2}$)x-1 | D. | y=ln(x-1) |
3.设全集U={-2,-1,0,1,2},集合A={1,2},B={-2,1,2},则A∪(∁UB)等于( )
A. | {-1,0,1,2} | B. | {1} | C. | {1,2} | D. | ∅ |
2.如图,三棱柱ABC-A1B1C1的侧棱垂直于底面,底面边长和侧棱长均为2,D是BC的中点.
(Ⅰ)求证:AD⊥平面B1BCC1;
(Ⅱ)求证:A1B∥平面ADC1;
(Ⅲ)求三棱锥C1-ADB1的体积.
(Ⅰ)求证:AD⊥平面B1BCC1;
(Ⅱ)求证:A1B∥平面ADC1;
(Ⅲ)求三棱锥C1-ADB1的体积.
19.已知a,b∈R,则“a>b>1”是“log2a>log2b”的( )
A. | 充分不必要条件 | B. | 必要不充分条件 | ||
C. | 充分必要条件 | D. | 既不充分也不必要条件 |
18.圆x2+y2-2x+4y+3=0的圆心坐标为( )
A. | (-2,4) | B. | (2,-4) | C. | (1,-2) | D. | (-1,2) |
17.若直线ax-y+1=0与直线2x+y+2=0平行,则a的值为( )
A. | -2 | B. | -1 | C. | $\frac{1}{2}$ | D. | 1 |
16.椭圆$\frac{{x}^{2}}{4}$+$\frac{{y}^{2}}{2}$=1的短轴长为( )
0 246578 246586 246592 246596 246602 246604 246608 246614 246616 246622 246628 246632 246634 246638 246644 246646 246652 246656 246658 246662 246664 246668 246670 246672 246673 246674 246676 246677 246678 246680 246682 246686 246688 246692 246694 246698 246704 246706 246712 246716 246718 246722 246728 246734 246736 246742 246746 246748 246754 246758 246764 246772 266669
A. | $\sqrt{2}$ | B. | 2 | C. | 2$\sqrt{2}$ | D. | 4 |