6.
如图所示,一只电子猫从A点出发,沿北偏东60°方向走了4m到达B点,再从B点向南偏西15°方向走了3m到达C点,那么∠ABC的度数为( )
| A. | 45° | B. | 75° | C. | 105° | D. | 135° |
5.化简$\sqrt{-{x}^{3}}$-x$\sqrt{-\frac{1}{x}}$,得( )
| A. | (x-1 )$\sqrt{-x}$ | B. | (1-x )$\sqrt{-x}$ | C. | -(x+1 )$\sqrt{x}$ | D. | (x-1 ) $\sqrt{x}$ |
2.将一箱苹果分给若干个小朋友,若每位小朋友分5个苹果,则还剩12个苹果;若每位小朋友分8个苹果,则有-个小朋友分到苹果但不到8个苹果.求这一箱苹果的个数与小朋友的人数.若设有x人,则可列不等式为( )
| A. | 8(x-1)<5x+12<8 | B. | 0<5x+12<8x | C. | 0<5x+12-8(x-1)<8 | D. | 8x<5x+12<8 |
1.下列各数中,是不等式3x-2>1的解的是( )
| A. | 1 | B. | 2 | C. | 0 | D. | -1 |
18.
如图,四边形ABCD是矩形,点E在线段CB的延长线上,连接DE交AB于点F,∠AED=2∠CED,点G是DF的中点,若BE=1,DF=7,则AB的长为$\frac{3}{2}\sqrt{5}$.
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