16.设非零实数a,b满足a<b,则下列不等式中一定成立的是( )
| A. | a+b>0 | B. | a-b<0 | C. | $\frac{1}{a}$>$\frac{1}{b}$ | D. | ab<b2 |
15.若过点A(2,-2)和点B(5,0)的直线与过点P(2m,1)和点Q(-1,-m)的直线平行,则m的值为( )
| A. | -1 | B. | 1 | C. | 2 | D. | $\frac{1}{2}$ |
11.观察下式:1=12,2+3+4=32,3+4+5+6+7=52,4+5+6+7+8+9+10=72,…,则第n个式子是( )
| A. | n+(n+1)+(n+2)+…+(2n-1)=n2 | B. | n+(n+1)+(n+2)+…+(2n-1)=(2n-1)2 | ||
| C. | n+(n+1)+(n+2)+…+(3n-2)=(2n-1)2 | D. | n+(n+1)+(n+2)+…+(3n-1)=(2n-1)2 |
10.已知sinα-cosα=-$\frac{{\sqrt{5}}}{5}$,则tanα的值为( )
| A. | 2或-2 | B. | $\frac{1}{2}$或-$\frac{1}{2}$ | C. | $\frac{1}{2}$或2 | D. | -$\frac{1}{2}$或-2 |
9.一辆汽车在一条水平的公路上向正西行驶,到A处时测得公路北侧一山顶D在西偏北30°的方向上,行驶600m后到达B处,测得此山顶在西偏北75°的方向上,仰角为30°,则此山的高度CD=( ) m.
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| A. | $100\sqrt{3}$ | B. | $100\sqrt{6}$ | C. | 100 | D. | $100\sqrt{2}$ |