ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿Ä³ÖÖ¿ªÁ½ÐÔ»¨µÄÖ²ÎïÖУ¬»¨É«ÓÉÁ½¶ÔµÈλ»ùÒòA¡¢aºÍB¡¢b¿ØÖÆ¡£µ±»ùÒòB´æÔÚʱ£¬»ùÒòAµÄ×÷Óò»ÄÜÏÔÏÖ¡£ÏÖÓÐ×Ï»¨ºÍºì»¨Á½¸öÇ×±¾ÔÓ½»µÃF1£¬F1×Ô½»µÃF2£¬½á¹ûÈçͼ¼×Ëùʾ¡£Çë·ÖÎö»Ø´ðÏÂÁÐÎÊÌ⣺
¼× ÒÒ
£¨1£©Á½Ç×±¾ÔÓ½»£¬ÔÚÊÚ·ÛÇ°Ðè¶Ôĸ±¾½øÐÐ______²Ù×÷£¬Ä¿µÄÊÇ______¡£
£¨2£©¸ÃÖ²ÎﻨɫµÄÒÅ´«×ñÑ______¶¨ÂÉ£¬F2Öд¿ºÏ×Ï»¨Ö²ÖêµÄ»ùÒòÐÍÊÇ______¡£
£¨3£©Èç¹ûÈÃF1µÄÖ²Öê²â½»£¬ºó´úµÄ±íÏÖÐͼ°±ÈÀýÊÇ______¡£Èç¹ûÈÃF2Öк컨ֲÖê×ÔÓɽ»Å䣬ºó´úÖÐ×Ï»¨ËùÕ¼µÄ±ÈÀýÊÇ______¡£
£¨4£©Èç¹ûÈÃF1ÓëF2Öеĺ컨ֲÖêÔÓ½»µÃF3£¬Ñ¡È¡F3Öеĺ컨ֲÖê½øÐÐ×Ô½»µÃF4£¬ÀíÂÛÉÏF4ºì»¨Ö²ÖêÖÐÔÓºÏ×ÓËùÕ¼µÄ±ÈÀýÊÇ______¡£
£¨5£©Ñо¿·¢ÏÖ£¬¸ÃÖ²ÎﻨɫµÄÐγÉÐè¾ÈçͼÒÒËùʾµÄ;¾¶¡£Ã¸P¡¢Ã¸RÁ½ÖÖø¾ºÕùͬһÖÖµ×Îµ«Ã¸P±ÈøR¶Ôµ×ÎïÓиüÇ¿µÄÇ׺ÍÁ¦£¨¼ýÍ·´Öϸ±íʾÇ׺ÍÁ¦´óС£©£¬ÒÔÖÁÖ»ÓÐÔÚȱ·¦Ã¸PʱøR²ÅÆð×÷Óá£ÓÉÉÏÊöÐÅÏ¢¿ÉÍƲâ»ùÒò¿ØÖÆ______£¨ÌîøP»òøR£©µÄºÏ³É£¬Õâ˵Ã÷»ùÒò¿ÉÒÔͨ¹ý¿ØÖÆ______£¬½ø¶ø¿ØÖÆÉúÎïÐÔ×´¡£
¡¾´ð°¸¡¿È¥ÐÛ¡¢Ì×´ü£¨´ðÈ«¸ø·Ö£© ·ÀÖ¹£¨×Ô»¨ºÍÆäËü£©»¨·ÛµÄ¸ÉÈÅ »ùÒòµÄ×ÔÓÉ×éºÏ£¨»ùÒòµÄ·ÖÀ붨ÂɺͻùÒòµÄ×ÔÓÉ×éºÏ£© AABB¡¢aaBB ×Ï»¨£ººì»¨£º°×»¨=2£º1£º1 0 øR øµÄºÏ³ÉÀ´¿ØÖÆ´úл¹ý³Ì
¡¾½âÎö¡¿
ÒÑÖª£ºÄ³ÖÖ¿ªÁ½ÐÔ»¨µÄÖ²ÎïÖУ¬»¨É«ÓÉÁ½¶ÔµÈλ»ùÒòA¡¢aºÍB¡¢b¿ØÖÆ¡£µ±»ùÒòB´æÔÚʱ£¬»ùÒòAµÄ×÷Óò»ÄÜÏÔÏÖ£¬¸ù¾ÝF2µÄÐÔ×´·ÖÀë±È×Ï»¨£ººì»¨£º°×»¨Îª12:3:1¿ÉÍƶÏ
×Ï»¨»ùÒòÐÍΪA-B-¡¢aaB-£¬ºì»¨»ùÒòÐÍΪA-bb£¬°×»¨»ùÒòÐÍΪaabb¡£
£¨1£©Á½Ç×±¾ÔÓ½»£¬ÔÚÊÚ·ÛÇ°Ðè¶Ôĸ±¾½øÐÐÈ¥ÐÛ¡¢Ì×´ü²Ù×÷£¬Ä¿µÄÊÇ·ÀÖ¹£¨×Ô»¨ºÍÆäËü£©»¨·ÛµÄ¸ÉÈÅ¡£
£¨2£©ÓÉÓÚF2µÄÐÔ×´·ÖÀë±ÈΪ12:3:1ÊÇ9:3:3:1µÄ±äʽ£¬¹Ê¸ÃÖ²ÎﻨɫµÄÒÅ´«×ñÑ×ÔÓÉ×éºÏ¶¨ÂÉ£¬F1×Ï»¨»ùÒòÐÍΪAaBb£¬½áºÏ·ÖÎö¿ÉÖª£¬F2Öд¿ºÏ×Ï»¨Ö²ÖêµÄ»ùÒòÐÍÊÇAABB¡¢aaBB¡£
£¨3£©F1×Ï»¨»ùÒòÐÍΪAaBb£¬Èç¹ûÈÃF1µÄÖ²Öê²â½»£¬¼´AaBb¨waabb£¬ºó´úµÄ±íÏÖÐͼ°±ÈÀýÊÇ(1AaBb+1aaBb)£º1aabb£º1Aabb=×Ï»¨£ººì»¨£º°×»¨=2£º1£º1¡£Èç¹ûÈÃF2Öк컨ֲÖê¼´Aabb×ÔÓɽ»Å䣬ºó´úÖÐÖ»Óа׻¨ºÍºì»¨£¬×Ï»¨ËùÕ¼µÄ±ÈÀýÊÇ0¡£
£¨4£©Èç¹ûÈÃF1ÓëF2Öеĺ컨ֲÖêÔÓ½»µÃF3£¬¼´AaBb¨wA-bb£¬Ñ¡Ã¿¶Ô»ùÒòµ¥¶À·ÖÎö£¬¿ÉµÃF3ÖÐÓÐ2/6AA¡¢3/6Aa¡¢1/6aa£»1/2Bb¡¢1/2aa¡£È¡F3Öеĺ컨ֲÖê½øÐÐ×Ô½»£¬¼´3/5Aabb¡¢2/5AAbb·Ö±ð×Ô½»µÃF4£¬ÔÓºÏ×Ӻ컨AabbµÄ±ÈÀýΪ3/10£¬ºì»¨Ö²Öê¹²1-3/5¨w1/4=17/20£¬¹ÊÀíÂÛÉÏF4ºì»¨Ö²ÖêÖÐÔÓºÏ×ÓËùÕ¼µÄ±ÈÀýÊÇ6/17¡£
£¨5£©Ñо¿·¢ÏÖ£¬¸ÃÖ²ÎﻨɫµÄÐγÉÐè¾ÈçͼÒÒËùʾµÄ;¾¶¡£Ã¸P¡¢Ã¸RÁ½ÖÖø¾ºÕùͬһÖÖµ×Îµ«Ã¸P±ÈøR¶Ôµ×ÎïÓиüÇ¿µÄÇ׺ÍÁ¦£¨¼ýÍ·´Öϸ±íʾÇ׺ÍÁ¦´óС£©£¬ÒÔÖÁÖ»ÓÐÔÚȱ·¦Ã¸PʱøR²ÅÆð×÷Óá£ÓÉÉÏÊöÐÅÏ¢¿ÉÍƲâ»ùÒò¿ØÖÆøRµÄºÏ³É£¬Õâ˵Ã÷»ùÒò¿ÉÒÔͨ¹ý¿ØÖÆøµÄºÏ³ÉÀ´¿ØÖÆ´úл¹ý³Ì£¬½ø¶ø¿ØÖÆÉúÎïÐÔ×´¡£
¡¾ÌâÄ¿¡¿²¸È鶯Îï³ÉÊìºìϸ°ûûÓÐϸ°ûºËºÍ¾ßĤµÄϸ°ûÆ÷£¬ÊÇÑо¿Ä¤½á¹¹¹¦Äܵij£ÓòÄÁÏ¡£µ±³ÉÊìºìϸ°ûÆÆÁÑʱ£¬ÈÔÈ»±£³ÖÔ±¾µÄ»ù±¾ÐÎ×´ºÍ´óС£¬ÕâÖֽṹ³ÆΪºìϸ°ûÓ°£¬Æ䲿·Ö½á¹¹ÈçͼËùʾ¡£Ñо¿ÈËÔ±Óò»Í¬µÄÊÔ¼Á·Ö±ð´¦Àíºìϸ°ûÓ°¡£½á¹ûÈçÏÂ±í£º£¨¡°+¡±±íʾÓУ¬¡°¡ª¡±±íʾÎÞ£©
ʵÑé´¦Àí | µ°°×ÖÊÖÖÀà | ´¦Àíºóºìϸ °ûÓ°µÄÐÎ×´ | |||||
A | B | C | D | E | F | ||
ÊÔ¼Á¼×´¦Àíºó | + | + | + | + | ¡ª | ¡ª | ±äµÃ²»¹æÔò |
ÊÔ¼ÁÒÒ´¦Àíºó | ¡ª | ¡ª | + | + | + | + | »¹Äܱ£³Ö |
£¨1£©¹¹³Éºìϸ°ûĤµÄ»ù±¾Ö§¼ÜÊÇ________________¡£Ä¤ÉÏÓжàÖÖµ°°×ÖÊ£¬ÆäÖÐBµ°°×Óë¶àÌǽáºÏ£¬Ö÷ÒªÓëϸ°ûĤµÄ________________¹¦ÄÜÓйء£AºÍGµ°°×¾ùÓë¿çĤÔËÊäÓйأ¬GÖ÷Òª¹¦ÄÜÊÇÀûÓúìϸ°û_______ºôÎü²úÉúµÄATP¹©ÄÜ£¬Í¨¹ý________·½Ê½ÅųöNa£«ÎüÊÕK£«£¬´Ó¶øά³Öºìϸ°ûÄÚ¸ßK£«µÍNa£«µÄÀë×ÓŨ¶ÈÌݶȡ£
£¨2£©ÔÚÖƱ¸Ï¸°ûĤʱ£¬½«ºìϸ°ûÖÃÓÚ_______ÖУ¬Ê¹Ï¸°ûĤÆÆÁÑÊͷųöÄÚÈÝÎï¡£ÓɱíÖнá¹ûÍƲ⣬¶Ôά³Öºìϸ°ûÓ°µÄÐÎ×´ÆðÖØÒª×÷Óõĵ°°×ÖÊ°üÀ¨_______£¨ÌîͼÖÐ×Öĸ£©¡£