ÌâÄ¿ÄÚÈÝ
3£®£¨1£©¼×²¡¡¢ÒÒ²¡µÄÒÅ´«·½Ê½·Ö±ðÊÇB¡¢D£®
A£®³£È¾É«ÌåÏÔÐÔÒÅ´« B³£È¾É«ÌåÒþÐÔÒÅ´«
C£®°éXȾɫÌåÏÔÐÔÒÅ´« D°éXȾɫÌåÒþÐÔÒÅ´«
£¨2£©¢ô-2µÄÒÒ²¡Ö²¡»ùÒòÀ´×ÔÓÚµÚÒ»´úµÄ1ºÅ¸öÌ壮¢ò-2µÄ»ùÒòÐÍÓë¢ó-3µÄ»ùÒòÐÍÏàͬµÄ¸ÅÂÊΪ$\frac{2}{3}$£®
£¨3£©Èô¢ó-3ºÍ¢ó-4ÔÙÉúÒ»¸öº¢×Ó£¬ÄÇôÕâ¸öº¢×ÓÒÅ´«²¡µÄ¸ÅÂÊÊÇ$\frac{9}{24}$£®
£¨4£©¢ô-1ÊǼײ¡Ð¯´øÕߵĸÅÂÊÊÇ$\frac{3}{5}$£¬ÈôËýÓëÒ»¸öÕý³£ÄÐÐÔ½á»é£¬ÔòËûÃÇÉúÒ»¸ö»¼ÒÒ²¡Äк¢µÄ¸ÅÂÊÊÇ$\frac{1}{8}$£®
·ÖÎö ·ÖÎöÒÅ´«ÏµÆ×ͼ£º¢ò1ºÍ¢ò2±íÏÖÐÍÕý³££¬Éú»¼²¡µÄÅ®¶ù¢ó2£¬¹Ê¼×²¡ÎªÒþÐÔÒÅ´«²¡£¬ÓÖ¢ñ1»¼¼×²¡£¬ÉúÕý³£¶ù×Ó¢ò3£¬¹Ê¼×²¡²»¿ÉÄÜΪ°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬¼×²¡Ö»ÄÜΪ³£È¾É«ÌåÒþÐÔÒÅ´«²¡£»¢ó3ºÍ¢ó4²»»¼²¡£¬Éú»¼ÒÒ²¡µÄ¶ù×Ó£¬¹ÊÒÒ²¡ÎªÒþÐÔÒÅ´«£¬ÓÖÓÉÓÚ¡°¢ó-4Я´ø¼×ÒÅ´«²¡µÄÖ²¡»ùÒò£¬µ«²»Ð¯´øÒÒÒÅ´«²¡µÄÖ²¡»ùÒò¡±£¬Òò´ËÒÒ²¡Îª°éXȾɫÌåÒþÐÔÒÅ´«²¡£®
½â´ð ½â£º£¨1£©ÓÉ·ÖÎö¿ÉÖª£¬¼×²¡Îª³£È¾É«ÌåÒþÐÔÒÅ´«²¡£¬ÒÒ²¡Îª°éXÒþÐÔÒÅ´«²¡£®
£¨2£©¢ô-2µÄÒÒ²¡Ö²¡»ùÒòÊ×ÏÈÀ´×ÔµÚÈý´úÖеÄ3ºÅ£¬¶ø¢ó3µÄÖ²¡»ùÒòÀ´×ÔÓÚµÚ¶þ´úÖеÄ2ºÅ£¬¶ø¢ò2Ö²¡»ùÒòÀ´×ÔÓÚµÚÒ»´úµÄ1ºÅ¸öÌ壮¸ù¾ÝÒÅ´«Ìص㣬²»ÄÑÍÆ³ö¢ò-2µÄ»ùÒòÐÍΪAaXBXb£¬¢ó-3µÄ»ùÒòÐÍΪAAXBXb£¨¸ÅÂÊΪ$\frac{1}{3}$£©»òAaXBXb£¨¸ÅÂÊΪ$\frac{2}{3}$£©£¬¼´¢ò-2µÄ»ùÒòÐÍÓë¢ó-3µÄ»ùÒòÐÍÏàͬµÄ¸ÅÂÊΪ$\frac{2}{3}$£®
£¨3£©¢ó-3µÄ»ùÒòÐÍΪAAXBXb£¨¸ÅÂÊΪ$\frac{1}{3}$£©»òAaXBXb£¨¸ÅÂÊΪ$\frac{2}{3}$£©£¬¢ó-4»ùÒòÐÍΪ AaXBY£¬Èô¢ó-3ºÍ¢ó-4ÔÙÉúÒ»¸öº¢×Ó£¬ÄÇôÕâ¸öº¢×ÓÒÅ´«²¡µÄ¸ÅÂÊ=1-²»»¼²¡=1-²»»¼¼×²¡¡Á²»»¼ÒÒ²¡=1-£¨1-$\frac{2}{3}¡Á\frac{1}{4}=\frac{1}{6}$£©¡Á£¨1-$\frac{1}{4}$£©=$\frac{9}{24}$£®
£¨4£©¢ó3Óл¼¼×²¡µÄ¸ç¸ç£¬¢ó3¹ØÓڼײ¡µÄ»ùÒòÐÍΪ$\frac{1}{3}$AA¡¢$\frac{2}{3}$Aa£¬¢ó4»ùÒòÐÍΪAa£¬¢ô-1ÊDZíÏÖÕý³£µÄÈË£¬¿¼ÂÇaa´æÔÚʱ£¬»ùÒòÐÍΪAAµÄ¸ÅÂÊΪ$\frac{1}{3}$£¬AaµÄ¸ÅÂÊΪ$\frac{1}{2}$£¬Òò´Ë¢ô-1Я´øa»ùÒòµÄ¸ÅÂÊΪ$\frac{3}{5}$£®Ö»¿¼ÂÇÒÒ²¡£¬¿ÉÒÔÍÆÖª¢ô-1¸öÌåµÄÒÒ²¡»ùÒòÐÍÊÇ$\frac{1}{2}$XBXB£¬$\frac{1}{2}$XBXb£¬Õý³£ÄÐÐÔΪXBY£¬Òò´ËÉúÒ»¸ö»¼ÒÒ²¡Äк¢µÄ¸ÅÂÊÖ»³öÏÖÔÚ$\frac{1}{2}$XBXbÓëXBYµÄ»éÅ䷽ʽÖУ¬¸ÅÂÊΪ$\frac{1}{2}¡Á\frac{1}{4}=\frac{1}{8}$£®
¹Ê´ð°¸Îª£º
£¨1£©B¡¢D £¨Ë³Ðò´íÎ󲻸ø·Ö£©
£¨2£©1 $\frac{2}{3}$
£¨3£©$\frac{9}{24}$
£¨4£©$\frac{3}{5}$ $\frac{1}{8}$
µãÆÀ ±¾Ì⿼²éÁËÈËÀàÒÅ´«²¡µÄÀàÐͺÍÖ²¡»ùÒòλÖÃÅжϣ¬°éÐÔÒþÐÔÒÅ´«Ó볣ȾɫÌåÏÔÐÔÒÅ´«µÄÌØµã£¬¸ù¾ÝÒÅ´«ÏµÆ×ͼÖеÄÐÅϢд³öÏà¹Ø¸öÌåµÄ»ùÒòÐÍ£¬²¢ÍÆËãºó´úµÄ»¼²¡¸ÅÂÊ£®½â´ËÀàÌâÄ¿µÄ˼·ÊÇ£¬Ò»ÅÐÏÔÒþÐÔ£¬¶þÅлùÒòλÖã¬Èýд³öÏà¹Ø»ùÒòÐÍ£¬ËĽøÐиÅÂʼÆË㣮
| A£® | 4£º1 | B£® | 3£º1 | C£® | 2£º1 | D£® | 1£º1 |
| A£® | ϸ°ûÄÚºÚÉ«ËØ»ýÀÛ£¬Ï¸°ûºËÌå»ýÔö´ó | |
| B£® | ϸ°ûĤͨ͸ÐÔ¹¦Äܸı䣬ʹÎïÖÊÔËÊ书Äܼӿì | |
| C£® | ϸ°ûÄÚËùÓÐøµÄ»îÐÔ¾ù½µµÍ | |
| D£® | ϸ°ûÄÚ½áºÏË®·Ö±ÈÀýÔö´ó |
| A£® | ûÓÐÒ¶ÂÌÌåµÄϸ°û¶¼²»ÄܽøÐйâºÏ×÷Óà | |
| B£® | ûÓÐDNAµÄÉúÎï¶¼²»ÄÜÍê³ÉÐÔ×´ÒÅ´« | |
| C£® | ûÓÐÏßÁ£ÌåµÄϸ¾ú¶¼Ö»ÄܽøÐÐÎÞÑõºôÎü | |
| D£® | ûÓкËÌÇÌåµÄÉúÎï¶¼²»ÄܶÀÁ¢ºÏ³Éµ°°×ÖÊ |
| A£® | ϸ°ûÈ«ÄÜÐԸߵÍÓëϸ°û·Ö»¯³Ì¶ÈÎÞ¹Ø | |
| B£® | ¶¯ÎïÒÑ·Ö»¯µÄÌåϸ°ûÈ«ÄÜÐÔÊÜÏÞÖÆ£¬µ«Ï¸°ûºËÈÔ¾ßÓÐÈ«ÄÜÐÔ | |
| C£® | Ö²Îï×éÖ¯ÅàÑøµÄ·½·¨·±Óý»¨»ÜÀûÓÃÁËÖ²Îïϸ°ûµÄÈ«ÄÜÐÔÔÀí | |
| D£® | ÉúÎïÌåÄÚϸ°ûûÓбíÏÖ³öÈ«ÄÜÐÔ£¬ÊÇ»ùÒòÑ¡ÔñÐÔ±í´ïµÄ½á¹û |