ÌâÄ¿ÄÚÈÝ
15£®¼ÙÉèijֲÎïÊÇ´ÆÐÛÒìÖêÖ²ÎÊôXYÐÍÐÔ±ð¾ö¶¨£¬ÓÐÀ«Ò¶ºÍÕÒ¶Á½ÖÖÒ¶ÐÍ£¬¸ÃÐÔ×´ÓÉÒ»¶ÔµÈλ»ùÒò¿ØÖÆ£®¿ÆÑ§¼Ò½«´ËÖ²ÎïµÄÀ«Ò¶´ÆÖ²ÖêÓëÕÒ¶ÐÛÖ²ÖêÔÓ½»£¬ËùµÃF1´ú´ÆÖêÐÛÖê¾ùÊÇÀ«Ò¶£®F2´ú´ÆÐÛÖ²Öê¼äÔÓ½»£¬ËùµÃF1´ú´ÆÖêÈ«ÊÇÀ«Ò¶£¬ÐÛÖêÓÐÀ«Ò¶ºÍÕÒ¶Á½ÖÖÒ¶ÐÍ£®¾ÝÌâÒâ»Ø´ð£º£¨1£©¸ÃÖ²ÎïÒ¶ÐÍÀ«Ò¶ÎªÏÔÐÔÐÔ×´£¬ÅжÏÒÀ¾ÝÊÇÀ«Ò¶´ÆÖ²ÖêÓëÕÒ¶ÐÛÖ²ÖêÔÓ½»£¬ËùµÃF1´ú´ÆÖêÐÛÖê¾ùÊÇÀ«Ò¶£®
£¨2£©¿ØÖƸÃÖ²ÎïÒ¶Ð͵ĻùÒò£¨ÓÃB»òb±íʾ£©Î»ÓÚXȾɫÌåÉÏ£®
£¨3£©ÀíÂÛÉÏ£¬F2´úÐÛÖêÀ«Ò¶ÓëÕÒ¶Á½ÖÖÀàÐ͸öÌåÊýÁ¿Ö®±ÈÊÇ1£º1£®
£¨4£©Èôij԰ÒÕ¹«Ë¾Óûͨ¹ýÒ»´ÎÔÓ½»¾ÍÅàÓý³öÔÚÓ×ÃçÆÚÄÜʶ±ð³ö´ÆÐ۵ĴËÖ²Ö꣬ÔòӦѡÔñ£º±íÏÖÐÍΪÀ«Ò¶µÄÖ²Öê×ö¸¸±¾£¬Æä»ùÒòÐÍΪXBY£»ÔÓ½»ºó´úÓ×ÃçÖУ¬±íÏÖÐÍΪÀ«Ò¶µÄÖ²ÖêÊÇ´ÆÖ꣮
£¨5£©¼ÙÈç¿ØÖÆ¸ÃÖ²Îï¾¥¸ß°«µÄ»ùÒò£¨ÓÃA»òa±íʾ£©Î»ÓÚÁíÒ»¶ÔͬԴȾɫÌåÉÏ£®ÏÖÓдËÖ²Îï¸ß¾¥À«Ò¶ÐÛÖêºÍ°«¾¥ÕÒ¶´ÆÖêÔÓ½»£¬ËùµÃF1´ú´ÆÖêȫΪ¸ß¾¥À«Ò¶£¬ÐÛÖêȫΪ¸ß¾¥ÕÒ¶£®F1´ú´ÆÐÛÖ²ÖêÔÓ½»£¬ËùµÃF2´úÖУ¬¸ß¾¥À«Ò¶ÐÛÖêºÍ¸ß¾¥À«Ò¶´ÆÖêËùÕ¼±ÈÀýÒ»¹²ÊÇ$\frac{3}{8}$£®
£¨6£©ÏÖÓÐÒ»Öê¸ÃÖÖÖ²ÎïµÄ¸ß¾¥Ö²Ö꣬ÈçºÎ¼ì²âÆäÊÇ·ñÊÇ´¿ºÏÌ壿ÓÃÒÅ´«Í¼½â±íʾ£®
·ÖÎö ¸ù¾ÝÌâÒâ·ÖÎö£º¡°Ö²ÎïµÄÀ«Ò¶´ÆÖ²ÖêÓëÕÒ¶ÐÛÖ²ÖêÔÓ½»£¬ËùµÃF1´ú´ÆÖêÐÛÖê¾ùÊÇÀ«Ò¶¡±£¬ËµÃ÷À«Ò¶ÊÇÏÔÐÔÐÔ×´£¬ÕÒ¶ÊÇÒþÐÔÐÔ×´£»
¡°F1´ú´ÆÐÛÖ²Öê¼äÔÓ½»£¬ËùµÃF2´ú´ÆÖêÈ«ÊÇÀ«Ò¶£¬ÐÛÖêÓÐÀ«Ò¶ºÍÕÒ¶Á½ÖÖÒ¶ÐÍ¡±£¬Ç×±¾¾ùΪÀ«Ò¶£¬ºó´ú³öÏÖÕÒ¶ÐÔ×´£¬Ò²ËµÃ÷À«Ò¶Ïà¶ÔÓÚÕҶΪÏÔÐÔÐÔ×´£¨ÓÃB¡¢b±íʾ£©£»ºó´ú´ÆÖê¾ù±íÏÖΪÀ«Ò¶£¬ÐÛÖê±íÏÖΪÕÒ¶ºÍÀ«Ò¶£¬ËµÃ÷¿ØÖÆÕâ¶ÔÐÔ×´µÄ»ùÒòλÓÚXȾɫÌåÉÏ£¬ÔòF1µÄ»ùÒòÐÍΪXBXb¡ÁXBY£»ÔòÇ×±¾»ùÒòÐÍΪXBXB¡ÁXbY£¬¾Ý´Ë´ðÌ⣮
½â´ð ½â£º£¨1£©¸ù¾ÝÌâÒâ·ÖÎö£º¡°Ö²ÎïµÄÀ«Ò¶´ÆÖ²ÖêÓëÕÒ¶ÐÛÖ²ÖêÔÓ½»£¬ËùµÃF1´ú´ÆÖêÐÛÖê¾ùÊÇÀ«Ò¶¡±£¬ËµÃ÷À«Ò¶ÊÇÏÔÐÔÐÔ×´£¬ÕÒ¶ÊÇÒþÐÔÐÔ×´£®
£¨2£©ºó´ú´ÆÖê¾ù±íÏÖΪÀ«Ò¶£¬ÐÛÖê±íÏÖΪÕÒ¶ºÍÀ«Ò¶£¬ËµÃ÷¿ØÖÆÕâ¶ÔÐÔ×´µÄ»ùÒòλÓÚXȾɫÌåÉÏ£®
£¨3£©ÒÑÖªF1µÄ»ùÒòÐÍΪXBXb¡ÁXBY£¬ËùÒÔºó´úÐÛÖêΪXBY¡¢XbY£¬±ÈÀýΪ1£º1£®
£¨4£©ÓÉÌâÒâ¸Ã²Ý±¾Ö²ÎÊôXYÐÍÐÔ±ð¾ö¶¨·½Ê½£¬ÔÚÃçÆÚÄܹ»ÒÀ¾ÝÏÔÒþÐÔÐÔ×´À´ÅжϴÆÐÛÖ꣬Æä×ñÑÔÀíÊǰéÐÔÒÅ´«µÄ½»²æÒÅ´«µÄÌØµã£¬¼´À«Ò¶ÐÛÖêÇ×±¾µÄºó´ú´ÆÖêȫΪÀ«Ò¶£¬ÓÐÕÒ¶´ÆÖêµÄÐÛÐÔºó´ú±ØÈ«ÎªÕÒ¶£®ÔòÑ¡ÓñíÏÖÐÍÀ«Ò¶µÄÐÛÖ꣨XBY£©×÷¸¸±¾£¬Ñ¡ÓÃÕÒ¶µÄ´ÆÖêXbXb×÷ĸ±¾£¬¼´XbXb¡ÁXBY¡úXBXb¡¢XbY£¬Ôò×Ó´ú±íÏÖÐÍΪÀ«Ò¶£¨XBXb£©ÊÇ´ÆÖ꣬ÕÒ¶£¨XbY£©µÄÊÇÐÛÖ꣮
£¨5£©Ö²Îï¸ß¾¥À«Ò¶ÐÛÖêºÍ°«¾¥ÕÒ¶´ÆÖêÔÓ½»£¬ËùµÃF1´ú´ÆÖêȫΪ¸ß¾¥À«Ò¶£¬ÐÛÖêȫΪ¸ß¾¥ÕÒ¶£¬ÔòÇ×±¾»ùÒòÐÍΪAAXBY¡¢aaXbXb£¬F1´úΪAaXBXb¡¢AaXbY£¬ÔòF2´úÖУ¬¸ß¾¥À«Ò¶ÐÛÖêºÍ¸ß¾¥À«Ò¶´ÆÖêËùÕ¼±ÈÀýÒ»¹²ÊÇ$\frac{3}{4}$¡Á$\frac{1}{4}$+$\frac{3}{4}$¡Á$\frac{1}{4}$=$\frac{3}{8}$£®
£¨6£©Èø߾¥Óë°«¾¥aa²â½»£¬Èç¹ûºó´úÈ«²¿ÊǸ߾¥£¬ËµÃ÷ÊÇ´¿ºÏ×ÓAA£»Èç¹ûºó´ú³öÏÖ°«¾¥£¬ËµÃ÷ÆäÊÇÔÓºÏ×ÓAa£®![]()
¹Ê´ð°¸Îª£º
£¨1£©À«Ò¶ À«Ò¶´ÆÖ²ÖêÓëÕÒ¶ÐÛÖ²ÖêÔÓ½»£¬ËùµÃF1´ú´ÆÖêÐÛÖê¾ùÊÇÀ«Ò¶
£¨2£©X
£¨3£©1£º1
£¨4£©À«Ò¶ XBY À«Ò¶
£¨5£©$\frac{3}{8}$
£¨6£©![]()
µãÆÀ ±¾ÌâµÄ֪ʶµãÊǸù¾ÝÇ×±¾ºÍ×Ó´úµÄ±íÏÖÐͼ°±ÈÀýÍÆ²â»ùÒòµÄλÖúͻùÒòµÄÏÔÒþÐÔ¹ØÏµ£¬ÒÔ¼°ÅжϺó´úµÄ»ùÒòÐͺͱíÏÖÐÍ£¬Ö÷Òª¿¼²éѧÉú¶Ô°éÐÔÒÅ´«µÄÀí½âºÍ×ÛºÏÔËÓõÄÄÜÁ¦£®
| A£® | ¸ÊÓÍͨ¹ýϸ°ûĤ½øÈëϸ°û | B£® | ÏßÁ£ÌåÖÐ[H]ÓëO2½áºÏÉú³ÉË® | ||
| C£® | ¸Îϸ°ûÎüÊÕ°±»ùËá | D£® | ϸ°ûÖÊ»ùÖÊÖÐÆÏÌÑÌÇ·Ö½â³É±ûͪËá |
| A£® | ÅàÑø»ùÖмÓÌǵÄÄ¿µÄÊÇÌá¹©ÓªÑøºÍµ÷½ÚÉøÍ¸Ñ¹ | |
| B£® | ÀëÌå×éÖ¯µÄϸ°ûÐè¾ÍÑ·Ö»¯ÐγÉÓúÉË×éÖ¯ | |
| C£® | ÅàÑø»ùÖеÄÉú³¤ËغÍϸ°û·ÖÁÑËØÓ°ÏìÓúÉË×éÖ¯µÄÉú³¤ºÍ·Ö»¯ | |
| D£® | ͬһÖêÂÌÉ«¿ª»¨Ö²Îﲻͬ²¿·ÖµÄϸ°û¾ÅàÑø»ñµÃµÄÓúÉË×éÖ¯»ùÒò×é³ÉÏàͬ |
| A£® | »ùÒòÐÍÏàͬ£¬±íÏÖÐͲ»Ò»¶¨Ïàͬ | |
| B£® | ×ÓÒ»´úËù±íÏÖ³öµÄÐÔ×´ÊÇÏÔÐÔÐÔ×´ | |
| C£® | ͬÖÖÉúÎïÿһÏà¶ÔÐÔ×´Ö»ÓÐÁ½ÖÖ±íÏÖÀàÐÍ | |
| D£® | ºó´ú³öÏÖÏÔÐÔºÍÒþÐÔÐÔ×´µÄÏÖÏó½ÐÐÔ×´·ÖÀë |