6.
如图,正方形ABCD,Q为CD边上一动点,AQ交BD于M,过M作MN⊥AQ交BC于N.过N作NP⊥BD于P,连接NQ、MC,下列结论:
①AM=MC;②BN+DM=PM;③∠DAQ+∠MNC=90°;④BN+DQ=NQ;⑤$\frac{AB+BN}{BM}$为定值,其中正确的有( )
①AM=MC;②BN+DM=PM;③∠DAQ+∠MNC=90°;④BN+DQ=NQ;⑤$\frac{AB+BN}{BM}$为定值,其中正确的有( )
| A. | 5个 | B. | 4个 | C. | 3个 | D. | 2个 |
5.
如图,在△ABC中,AB=AC=10,BC=12,AD⊥BC于D,O为AD上一点,以O为圆心,OA为半径的圆交AB于G,交BC于E、F.且AG=AD.
(1)求EF的长;
(2)求tan∠BDG的值.
0 287100 287108 287114 287118 287124 287126 287130 287136 287138 287144 287150 287154 287156 287160 287166 287168 287174 287178 287180 287184 287186 287190 287192 287194 287195 287196 287198 287199 287200 287202 287204 287208 287210 287214 287216 287220 287226 287228 287234 287238 287240 287244 287250 287256 287258 287264 287268 287270 287276 287280 287286 287294 366461
(1)求EF的长;
(2)求tan∠BDG的值.