15.
如图,正方形ABCD的边长为6,EF为正方形ABCD的对称轴,交BC于F点,点G是对称轴EF上的一个动点,连接GC,将线段GC绕点C逆时针旋转90°得到HC,连接HF,则在点G运动过程中,HF的最小值是( )
| A. | $\frac{1}{2}$ | B. | 2$\sqrt{2}$ | C. | 2$\sqrt{3}$ | D. | 3 |
12.
在平面直角坐标系中,以原点O为圆心的圆过点A(2,0),B点为⊙O上任意一点,P(5,0),连接BP,将线段BP绕B点逆时针旋转90°至线段BC,当B点从A点出发,绕圆旋转一周的过程中,C点运动路径长为( )
| A. | 2$\sqrt{2}$π | B. | 4π | C. | 4$\sqrt{2}$π | D. | 6π |
10.
如图,在△ABC中,∠CAB的平分线AD与BC的垂直平分线DE交于点D,DM⊥AB于点M,DN⊥AC的延长线于点N,下列结论中错误的是( )
| A. | DM=DN | B. | ∠ABD+∠ACD=180° | ||
| C. | AC+AN=AB | D. | BC2+4DE2=4BM2+4DM2 |
9.已知a=3b,则代数式$\frac{a+b}{a-b}$的值等于( )
0 297110 297118 297124 297128 297134 297136 297140 297146 297148 297154 297160 297164 297166 297170 297176 297178 297184 297188 297190 297194 297196 297200 297202 297204 297205 297206 297208 297209 297210 297212 297214 297218 297220 297224 297226 297230 297236 297238 297244 297248 297250 297254 297260 297266 297268 297274 297278 297280 297286 297290 297296 297304 366461
| A. | 2 | B. | -2 | C. | $\frac{1}{2}$ | D. | $-\frac{1}{2}$ |