ÌâÄ¿ÄÚÈÝ
7£®¼ÒÍõÄëɫÓлÒÉ«¡¢ºÚÉ«¡¢°×É«ÈýÖÖ£¬ÊÜÁ½¶ÔµÈλ»ùÒòµÄ¿ØÖÆ£¬ÆäÖлùÒò A¿ØÖƺÚÉ«ËØµÄÐγɣ¬»ùÒòB¾ö¶¨ºÚÉ«ËØÔÚëƤÄڵķֲ¼£®¿ÆÑÐÈËÔ±ÔÚ×öÔÓ½»ÊµÑéʱ·¢ÏÖ£º»ÒÉ«ÐÛÍÃÓë°×É«´ÆÍÃÔÓ½»£¬×ÓÒ»´úÈ«ÊÇ»ÒÍ㨷´½»µÄ½á¹ûÏàͬ£©£»×ÓÒ»´ú»ÒÍôÆÐÛ½»Åäºó²úÉúµÄ×Ó¶þ´ú¼ÒÍÃÖУ¬»ÒÍ㺺ÚÍ㺰×ÍÃ=9£º3£º4£®£¨1£©¿ØÖƼÒÍÃëɫµÄÁ½¶Ô»ùÒòλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£®
£¨2£©×Ó¶þ´úµÄ»ÒÍÃÖÐÄܹ»Îȶ¨ÒÅ´«µÄ¸öÌåËùÕ¼µÄ±ÈÀýΪ$\frac{1}{9}$£¬´Ó»ùÒò¿ØÖÆÐÔ×´µÄ½Ç¶È·ÖÎö£¬°×ÍÃÕ¼$\frac{4}{16}$µÄÔÒòÊÇaa__±íÏÖΪ°×É«£®
£¨3£©Í¨¹ýÏÔ΢עÉä¼¼Êõ½«ÂÌɫӫ¹âµ°°×»ùÒò£¨G£©×ªÈë»ùÒòÐÍΪAABbµÄÊܾ«ÂѵÄijÌõȾɫÌåÉÏ£¬·¢ÓýΪÐÛÍã¬Ê¹Ö®Äܹ»ÔÚ×ÏÍâÏßÏ·¢ÂÌɫӫ¹â£®ÎªÁËÈ·¶¨»ùÒòG²åÈëȾɫÌåµÄËùÔÚλÖã¬ÓöàÖ»´¿ÖÖ°×É«´ÆÍã¨aabb£©Óë¸ÃÐÛÍò⽻£¬²úÉú×ã¹»¶àºó´ú£¨²»¿¼Âǽ»²æ»¥»»£©£®
¢ÙÈô²úÉúµÄºó´úÖнö´ÆÐÔÍÃÄܹ»·¢Ó«¹â£¬Ôò»ùÒò G×î¿ÉÄÜλÓÚXȾɫÌåÉÏ£®
¢ÚÈô»ùÒòGÓë»ùÒòBλÓÚͬһÌõȾɫÌåÉÏ£¬Ôòºó´úµÄ±íÏÖÐͼ°±ÈÀýÊÇ»Òɫӫ¹â£ººÚÉ«ÎÞÓ«¹â=1£º1£®
¢ÛÈôºó´úºÚëÍÃÖÐÄÜ·¢Ó«¹âµÄ¸öÌåËùÕ¼±ÈÀýΪ$\frac{1}{2}$£¬ÔòG»ùÒòλÓÚB¡¢bËùÔÚȾɫÌåÖ®ÍâµÄȾɫÌåÉÏ£®
·ÖÎö 1¡¢ÓÉÌâÒâÖª£¬»ÒÉ«ÐÛÍÃÓë°×É«´ÆÍÃÔÓ½»£¬×ÓÒ»´úÈ«ÊÇ»ÒÍã¬ÇÒ·´½»µÄ½á¹ûÏàͬ£¬ËµÃ÷»ÒÉ«¶Ô°×É«ÊÇÏÔÐÔ£¬×ÓÒ»´ú»ÒÍôÆÐÛ¸öÌå½»Å䣬×Ó¶þ´úµÄ±íÏÖÐͼ°±ÈÀýÊÇ»ÒÍ㺺ÚÍ㺰×ÍÃ=9£º3£º4£¬¿ÉÒÔ¸Äд³É9£º3£º3£º1£¬Òò´Ë˵Ã÷ÍõÄÌåÉ«ÊÜ2¶ÔµÈλ»ùÒò¿ØÖÆ£¬ÇÒ·ûºÏ×ÔÓÉ×éºÏ¶¨ÂÉ£¬×ÓÒ»´úµÄ»ùÒòÐÍÊÇAaBb£®
2¡¢½â´ð£¨3£©Ê±£¬Ïȸù¾ÝÌâ¸ÉÐÅÏ¢¸ø³öµÄÌáʾ£¬Åжϳö»ùÒò¹¤³Ìµ¼ÈëµÄG»ùÒòµÄλÖÿÉÄÜÊÇXȾɫÌå¡¢ÓëBÁ¬ËøÔÚͬһÌõȾɫÌåÉÏ£¬²»ÔÚB¡¢bËùÔÚµÄȾɫÌåÉÏ£¬ÈýÖÖ×´¿ö£¬È»ºóÓ¦ÓÃÑÝÒïÍÆÀíµÄ·½·¨¸ù¾ÝÒÅ´«¹æÂÉÔ¤ÆÚʵÑé½á¹û£®
½â´ð ½â£º£¨1£©ÓÉ·ÖÎö¿ÉÖª£¬ÖƼÒÍÃëɫµÄÁ½¶Ô»ùÒòÔÚÒÅ´«Ê±·ûºÏ×ÔÓÉ×éºÏ¶¨ÂÉ£¬Òò´Ë2¶ÔµÈλ»ùÒò·Ö±ðλÓÚ2¶ÔͬԴȾɫÌåÉÏ£®
£¨2£©×ÓÒ»´úµÄ»ùÒòÐÍÊÇAaBb£¬×Ó¶þ´úµÄ»ùÒòÐͼ°±ÈÀýÊÇA_B_£ºA_bb£ºaaB_£ºaabb=9£º3£º3£º1£¬ÆäÖÐA_B_ÊÇ»ÒÍã¬AABBÊÇ´¿ºÏ×ÓÄÜÎȶ¨ÒÅ´«£¬Õ¼»ÒÍõÄ$\frac{1}{9}$£»´Ó»ùÒò¿ØÖÆÐÔ×´µÄ½Ç¶È·ÖÎö£¬°×ÍÃÕ¼$\frac{4}{16}$µÄÔÒòÊÇaa__¶¼±íÏÖΪ°×É«£®
£¨3£©ÓÉÌâÒâÖª£¬¸ÃʵÑéµÄÄ¿µÄÊÇ̽¾¿ÂÌɫӫ¹âµ°°×»ùÒò£¨G£©µÄλÖã¬Èç¹ûG»ùÒòλÓÚ»ùÒòÐÍΪAABbµÄÐÛÍõÄXȾɫÌåÉÏ£¬ÔòÓëÆÕͨ°×É«´ÆÍã¨aabb£©½»Å䣬ºó´úÖÐÖ»ÓдÆÐÔ¸öÌåÄܹ»·¢Ó«¹â£»Èç¹ûµ¼Èë»ùÒòGλÓÚBËùÔÚµÄȾɫÌåÉÏ£¬ÔòÓëÆÕͨ°×É«´ÆÍã¨aabb£©½»Å䣬ºó´úµÄ»ùÒòÐͼ°±ÈÀýÊÇAaBbG£ºAabb=1£º1£¬Ç°Õß±íÏÖΪ»Òɫӫ¹â£¬ºóÕß±íÏÖΪºÚÉ«ÎÞÓ«¹â£»Èç¹ûG»ùÒòλÓÚB¡¢bÖ®ÍâµÄÆäËûȾɫÌåÉÏ£¬ÔòÔÓ½»ºó´úµÄ»ÒÍᢺÚÍø÷ÓÐÒ»°ëÄÜ·¢ÂÌɫӫ¹â£®
¹Ê´ð°¸Îª£º
£¨1£©Á½
£¨2£©$\frac{1}{9}$ aa__±íÏÖΪ°×É«
£¨3£©¢ÙX ¢Ú»Òɫӫ¹â£ººÚÉ«ÎÞÓ«¹â=1£º1 ¢ÛB¡¢bËùÔÚȾɫÌåÖ®ÍâµÄ
µãÆÀ ±¾ÌâµÄ֪ʶµãÊÇ»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊ£¬Ö¼ÔÚ¿¼²éѧÉú¸ù¾Ý×Ó´ú±íÏÖÐͼ°±ÈÀý¹ØÏµÍƲâÇ×±¾»ùÒòÐͼ°Ëù×ñѵÄÒÅ´«¹æÂÉ£¬Ó¦ÓÃ×ÔÓÉ×éºÏ¶¨Âɽâ¾öʵ¼ÊÎÊÌ⣬ѧ»áÓ¦ÓÃÑÝÒïÍÆÀíµÄ·½·¨½â´ðÒÅ´«ÎÊÌ⣮
| A£® | Ñ¡ÔñÊܾ«ÂÑ×÷ΪÍâÔ´»ùÒòµÄÊÜÌåϸ°ûÊÇÒòΪÕâÖÖϸ°û¾ßÓÐÈ«ÄÜÐÔ | |
| B£® | ½«×ª»ùÒòСÊóÌåϸ°û½øÐкËÒÆÖ²£¨¿Ë¡£©£¬¿ÉÒÔ»ñµÃ¶à¸ö¾ßÓÐÍâÔ´»ùÒòµÄºó´ú | |
| C£® | È˵ÄÉú³¤¼¤ËØ»ùÒòÄÜÔÚСÊóϸ°û±í´ï£¬ËµÃ÷ÒÅ´«ÃÜÂëÔÚ²»Í¬ÖÖÉúÎïÖпÉÒÔͨÓà | |
| D£® | ²ÉÓÃDNA·Ö×ÓÔÓ½»¼¼Êõ¿É¼ì²âÍâÔ´»ùÒòÔÚСÊóϸ°ûÄÚÊÇ·ñ³É¹¦±í´ï |
| A£® | Ѫºìµ°°×¡¢µÝÖÊ¡¢¼¤ËØ¡¢ÆÏÌÑÌǺÍCO2¶¼ÊÇÄÚ»·¾³µÄ³É·Ö | |
| B£® | ÈËÌå´úлÖеÄÉúÎﻯѧ·´Ó¦Ö÷Òª·¢ÉúÔÚϸ°ûÄÚ | |
| C£® | ÄÚ»·¾³ÎÈ̬µÄʵÖÊÊÇÄÚ»·¾³µÄÉøÍ¸Ñ¹¡¢Î¶ȺÍpH±£³Ö²»±ä | |
| D£® | С³¦ÈÞëÉÏÆ¤Ï¸°ûÉú»îµÄÄÚ»·¾³Îª×éÖ¯ÒººÍÏû»¯Òº |