ÌâÄ¿ÄÚÈÝ
4£®Ãϵ¶ûÓûÆÉ«£¨Y£©Ô²Á££¨R£©´¿ÖÖÍã¶¹ºÍÂÌÉ«£¨y£©ÖåÁ££¨r£©´¿ÖÖÍã¶¹×÷Ç×±¾£¬·Ö±ðÉè¼ÆÁË´¿ºÏÇ×±¾µÄÔÓ½»¡¢F1µÄ×Ô½»¡¢F1µÄ²â½»Èý×éʵÑ飬°´ÕÕ¼Ù˵ÑÝÒïµÄ¿ÆÑ§·½·¨¡°Ìá³öÎÊÌâ-×÷³ö¼Ù˵-ÑÝÒïÍÆÀí-¼ìÑéÍÆÀí-µÃ³ö½áÂÛ¡±£¬×îºóµÃ³öÁË»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®Çë¾Ý´Ë·ÖÎö»Ø´ðÏÂÁÐÎÊÌ⣺£¨1£©Ãϵ¶û¸ù¾ÝÍã¶¹ÔÓ½»ÊÔÑéÏÖÏóÌá³öÁ˳¬Ô½µ±Ê±Ê±´úµÄ¼Ù˵£¬ÆäÖ÷ÒªÄÚÈݰüÀ¨¢Ù¢Û¢Ü¢Þ£®
¢ÙÉúÎïµÄÐÔ×´ÊÇÓÉÒÅ´«Òò×Ó¾ö¶¨µÄ¡¡ ¡¡¢ÚÒÅ´«Òò×Ó´æÔÚÓÚϸ°ûºËÖÐ
¢ÛÌåϸ°ûÖÐÒÅ´«Òò×ÓÊdzɶԴæÔڵġ¡ ¡¡¢ÜÅä×ÓÖÐÖ»º¬Ã¿¶ÔÒÅ´«Òò×ÓÖеÄÒ»¸ö
¢Ýÿ¶ÔÒÅ´«Òò×ÓËæÍ¬Ô´È¾É«ÌåµÄ·ÖÀë¶ø·Ö±ð½øÈ벻ͬµÄÅä×ÓÖÐ ¢ÞÊܾ«Ê±£¬´ÆÐÛÅä×ӵĽáºÏÊÇËæ»úµÄ
£¨2£©Ãϵ¶ûËù½øÐеÄÈý×éʵÑéÖУ¬ÔÚÌá³öÎÊÌâ½×¶ÎÍê³ÉµÄʵÑéÊÇ´¿ºÏµÄÇ×±¾ÔÓ½»ºÍF1µÄ×Ô½»£®
£¨3£©F1µÄ²â½»£¬¼´ÈÃF1Ö²ÖêÓëÒþÐÔ´¿ºÏ×ÓÔÓ½»£¬Æä×Ó´ú»ùÒòÐͼ°±ÈÀýΪYyRr£ºYyrr£ºyyRr£ºyyrr=1£º1£º1£º1£®
£¨4£©F2ÖÐËùÓеÄÔӺϻÆÉ«Ô²Á£ÖÖ×ÓËùÕ¼µÄ±ÈÀýÊÇ$\frac{1}{2}$£¬½«Æä²¥ÖÖºó½øÐÐ×Ô½»£¬Èç¹ûÆäÖÐijÖÖÀàÐÍ×Ô½»ºóÖ»±íÏÖ³öÁ½ÖÖ±íÏÖÐÍ£¬Ôò¸ÃÀàÐ͵ĻùÒòÐÍΪYyRR»òYYRr£®
·ÖÎö 1¡¢Ãϵ¶û¶ÔÒ»¶ÔÏà¶ÔÐÔ×´µÄÔÓ½»ÊµÑéµÄ½âÊÍ£º£¨1£©ÉúÎïµÄÐÔ×´ÊÇÓÉϸ°ûÖеÄÒÅ´«Òò×Ó¾ö¶¨µÄ£»£¨2£©Ìåϸ°ûÖеÄÒÅ´«Òò×ӳɶԴæÔÚ£»£¨3£©Åä×ÓÖеÄÒÅ´«Òò×ӳɵ¥´æÔÚ£»£¨4£©Êܾ«Ê±£¬´ÆÐÛÅä×ÓËæ»ú½áºÏ£®
2¡¢ÔÚ½â´ð»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄϰÌâʱ£¬ÐèÒª°Ñÿ¶Ô»ùÒòµ¥¶À¿¼ÂÇ£¬È»ºó°ÑÏàÓ¦µÄ±íÏÖÐ͸ÅÂÊÏà³Ë¼´¿ÉµÃµ½´ð°¸£®
½â´ð ½â£º£¨1£©¢ÙÃϵ¶ûÈÏΪÉúÎïµÄÐÔ×´ÊÇÓÉÒÅ´«Òò×Ó¾ö¶¨µÄ£¬¢ÙÕýÈ·£»
¢ÚÃϵ¶ûÈÏΪÒÅ´«Òò×ÓÔÚÌåϸ°ûÖгɶԴæÔÚ£¬µ«²¢Ã»ÓÐÌá³öÒÅ´«Òò×Ó´æÔÚÓÚϸ°ûºËÖУ¬¢Ú´íÎó£»
¢ÛÃϵ¶ûÈÏΪÌåϸ°ûÖÐÒÅ´«Òò×ÓÊdzɶԴæÔڵ쬢ÛÕýÈ·£»
¢ÜÃϵ¶ûÈÏΪ£¬Åä×ÓÖÐÖ»º¬Ã¿¶ÔÒÅ´«Òò×ÓÖеÄÒ»¸ö£¬¢ÜÕýÈ·£»
¢ÝÃϵ¶ûËùÔÚµÄÄê´ú»¹Ã»ÓС°Í¬Ô´È¾É«Ì塱һ´Ê£¬¢Ý´íÎó£»
¢ÞÃϵ¶ûÈÏΪ£¬Êܾ«Ê±£¬´ÆÐÛÅä×ÓËæ»ú½áºÏ£¬¢ÞÕýÈ·£®
¹ÊÖ÷ÒªÄÚÈݰüÀ¨¢Ù¢Û¢Ü¢Þ£®
£¨2£©Ìá³öÎÊÌâ½×¶ÎÍê³ÉµÄʵÑéÊÇ´¿ºÏµÄÇ×±¾ÔÓ½»ºÍF1µÄ×Ô½»£»ÔÚ¼ìÑé¼ÙÉè½×¶ÎÍê³ÉµÄʵÑéÊǶÔF1½øÐв⽻£®
£¨3£©F1µÄ²â½»£¬¼´ÈÃF1Ö²ÖêÓëÒþÐÔ´¿ºÏ×ÓÔÓ½»£¬F1Ö²ÖêµÄ»ùÒòÐÍΪYyRr£¬²úÉúµÄÅä×ÓΪYR£ºYr£ºyR£ºyr=1£º1£º1£º1£¬ÒþÐÔ´¿ºÏ×Ó»ùÒòÐÍΪyyrr£¬Ö»²úÉúÒ»ÖÖÅä×Óyr£¬ËùÒÔÆä×Ó´ú»ùÒòÐͼ°±ÈÀýΪYyRr£ºYyrr£ºyyRr£ºyyrr=1£º1£º1£º1£®
£¨4£©F2ÖлÆÉ«Ô²Á£µÄ¸öÌåÕ¼ $\frac{9}{16}$£¬ÆäÖд¿ºÏ×Ó£¨YYRR£©Õ¼ $\frac{1}{16}$£¬¹ÊF2ÖÐÔӺϵĻÆÉ«Ô²Á£Õ¼$\frac{9}{16}$-$\frac{1}{16}$=$\frac{1}{2}$£®Èç¹ûÆäÖÐijÖÖÀàÐÍ×Ô½»ºóÖ»±íÏÖ³öÁ½ÖÖ±íÏÖÐÍ£¬¼´ºó´úµÄ±íÏÖÐÍΪ1¡Á2£¬ÔòÖ»ÓÐÒ»¶Ô»ùÒòΪÔӺϵ쬼´¸ÃÀàÐ͵ĻùÒòÐÍΪYyRR»òYYRr£®
¹Ê´ð°¸Îª£º
£¨1£©¢Ù¢Û¢Ü¢Þ
£¨2£©´¿ºÏÇ×±¾µÄÔÓ½»¡¢F1µÄ×Ô½»
£¨3£©ÒþÐÔ´¿ºÏ×Ó¡¡¡¡YyRr£ºYyrr£ºyyRr£ºyyrr=1£º1£º1£º1
£¨4£©$\frac{1}{2}$¡¡¡¡YyRR»òYYRr
µãÆÀ ±¾Ì⿼²éÃϵ¶ûÒÅ´«ÊµÑé·½ÃæµÄ֪ʶ£¬¾ßÓÐÒ»¶¨µÄ×ÛºÏÐÔºÍÄѶȣ®ÒªÇó¿¼Éúʶ¼ÇÃϵ¶ûÒÅ´«ÊµÑé¹ý³Ì¼°Ãϵ¶û¶ÔÁ½¶ÔÏà¶ÔÐÔ×´µÄÔÓ½»ÊµÑéµÄ½âÊÍ£¬Ã÷È·²â½»ÊµÑé²¢Äܹ»¸ù¾Ý²â½»µÄ¶¨ÒåÉè¼ÆÊµÑé·½°¸£®
| A£® | ´Ù¼××´ÏÙ¼¤ËØÊͷż¤ËØ | B£® | ¼××´ÏÙ¼¤ËØ | ||
| C£® | ´Ù¼××´ÏÙ¼¤ËØ | D£® | ÐÔ¼¤ËØ |
| A£® | ϸ°ûÖÊ¿ØÖÆ×Åϸ°ûµÄ´úл | B£® | ϸ°ûÖÊÊÇϸ°ûÒÅ´«ÌØÐԵĿØÖÆÖÐÐÄ | ||
| C£® | ϸ°ûºË¿ØÖÆ×Åϸ°ûµÄ´úл | D£® | ϸ°ûºËÊÇϸ°ûÒÅ´«ÌØÐԵĿØÖÆÖÐÐÄ |
| A£® | ÔÚÏÔ΢¾µÏ¹۲ì´Ëϸ°û£¬¿ÉÒÔ¿´µ½È¾É«Ìå¡¢·Ä´¸Ìå¡¢³àµÀ°å | |
| B£® | ¸Ãϸ°ûÓÐË¿·ÖÁѵĺóÆÚ»á³öÏÖϸ°û°å | |
| C£® | ¸Ãϸ°û·ÖÁѲúÉúµÄÒ»¸ö×Óϸ°ûÖÐÓÐ8ÌõȾɫÌå | |
| D£® | ´ËʱÆÚÊǹ۲ìȾɫÌåÊýÄ¿µÄ×î¼ÑʱÆÚ |
| A£® | ¼× | B£® | ÒÒ | C£® | ±û | D£® | ÒÒ¡¢±û |
| A£® | AB¶Î | B£® | BC¶Î | C£® | CD¶Î | D£® | DE¶Î |
| A£® | ϸ°ûµòÍöÊÇÓÉϸ°ûÄÚµÄÒÅ´«ÎïÖÊËù¿ØÖÆµÄ | |
| B£® | ϸ°ûµòÍöµÄÖ÷ÒªÌØÕ÷ÊÇϸ°û´úлËÙÂʼõÂý | |
| C£® | ϸ°ûµòÍöËÙÂÊÓëÆä¹¦ÄÜÃÜÇÐÏà¹Ø | |
| D£® | ϸ°ûµòÍöÓÐÀûÓÚά³ÖÄÚ»·¾³µÄÎȶ¨ |