ÌâÄ¿ÄÚÈÝ

12£®ÒÑÖª¹ûÓ¬ºìÑÛÓë°×ÑÛÐÔ×´ÓÉÒ»¶ÔµÈλ»ùÒò£¨A¡¢a£©¿ØÖÆ£¬¸ÕëÓë½ØÃ«ÐÔ×´ÓÉÁíÒ»¶ÔµÈλ»ùÒò£¨B¡¢b£©¿ØÖÆ£®ÏÖÓô¿ºÏµÄ¸ÕëºìÑÛÐÛ¹ûÓ¬Óë½ØÃ«°×Ñ۴ƹûÓ¬ÔÓ½»µÃF1£¬F1µÄ±íÏÖÐͼ°±ÈÀýÊǸÕëºìÑÛ´Æ£º½ØÃ«°×ÑÛÐÛ=1£º1£»F1Ï໥½»ÅäµÃF2£¬F2µÄ±íÏÖÐͼ°±ÈÀýÊǸÕëºìÑÛ´Æ£º½ØÃ«°×ÑÛ´Æ£º¸ÕëºìÑÛÐÛ£º½ØÃ«°×ÑÛÐÛ=1£º1£º1£º1£¨²»¿¼Âǽ»²æ»¥»»£©£®Çë·ÖÎö»Ø´ð£º
£¨1£©Á½¶ÔÏà¶ÔÐÔ×´ÖеÄÏÔÐÔÐÔ×´·Ö±ðΪ¸Õë¡¢ºìÑÛ£®
£¨2£©Á½¶ÔÏà¶ÔÐÔ×´µÄÒÅ´«ÊÇ·ñ×ñÑ­»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£¿·ñ£®ÊÔ½áºÏÔÓ½»½á¹û£¬·ÖÎöÆä¿ÉÄܵÄÔ­ÒòÊÇ¿ØÖƹûÓ¬ºìÑÛÓë°×ÑÛÐÔ×´µÄ»ùÒòλÓÚXȾɫÌåÉÏ£¬¿ØÖƸÕëÓë½ØÃ«ÐÔ×´µÄ»ùÒòҲλÓÚXȾɫÌåÉÏ£¨´ð°¸ºÏÀí¼´¿É£©£®
£¨3£©F2ÖеĴÆÐÛ¹ûÓ¬Ëæ»ú½»Å䣬×Ó´úµÄ±íÏÖÐͼ°±ÈÀýΪ¸ÕëºìÑÛ´Æ£º½ØÃ«°×ÑÛ´Æ£º¸ÕëºìÑÛÐÛ£º½ØÃ«°×ÑÛÐÛ=1£º3£º1£º3£®
£¨4£©ÈôF2ÖгöÏÖ$\frac{1}{25}$µÄ¸Õë°×ÑÛÐÛ¹ûÓ¬£¬ÔòF1´ÆÐÔ²úÉúµÄÅä×ÓÖÐÖØ×éÀàÐÍËùÕ¼±ÈÀýΪ$\frac{4}{25}$£®

·ÖÎö ·ÖÎöÌâÎÄ£º´¿ºÏµÄ¸ÕëºìÑÛÐÛ¹ûÓ¬Óë½ØÃ«°×Ñ۴ƹûÓ¬ÔÓ½»µÃF1£¬F1µÄÐÔ×´±íÏÖ¼°±ÈÀýÊǸÕëºìÑÛ´Æ£º½ØÃ«°×ÑÛÐÛ=1£º1£¬ÐÛÐÔȫΪ½ØÃ«°×ÑÛ£¬´ÆÐÔȫΪ¸ÕëºìÑÛ£¬ËµÃ÷¸ÕëºìÑÛΪÏÔÐÔ£¬Í¬Ê±£¬½ØÃ«°×ÑÛ»ùÒòÁ¬Ëø£¬¸ÕëºìÑÛ»ùÒòÁ¬Ëø£¬ÇÒλÓÚÐÔȾɫÌåÉÏ£®F1Ï໥½»ÅäµÃF2£¬F2µÄÐÔ×´±íÏÖ¼°±ÈÀýΪ¸ÕëºìÑÛ´Æ£º½ØÃ«°×ÑÛ´Æ£º¸ÕëºìÑÛÐÛ£º½ØÃ«°×ÑÛÐÛ=1£º1£º1£º1£¬ËµÃ÷Á½¶ÔµÈλ»ùÒòֻλÓÚXȾɫÌåÉÏ£¬Ç×±¾µÄ»ùÒòÐÍΪXABYºÍXabXab£®

½â´ð ½â£º£¨1£©ÓÉ·ÖÎö¿ÉÖª£¬Á½¶ÔÏà¶ÔÐÔ×´ÖеÄÏÔÐÔÐÔ×´·Ö±ðΪ¸Õë¡¢ºìÑÛ£®
£¨2£©ÓÉÒÔÉÏ·ÖÎö¿ÉÖª£¬ÕâÁ½¶ÔµÈλ»ùÒò¶¼Î»ÓÚXȾɫÌåÉÏ£¬Òò´ËËüÃǵÄÒÅ´«²»×ñÑ­»ùÒò×ÔÓÉ×éºÏ¶¨ÂÉ£®
£¨3£©ÓÉÒÔÉÏ·ÖÎö¿ÉÖª£¬Ç×±¾µÄ»ùÒòÐÍΪXABYºÍXabXab£¬×ÓÒ»´úµÄ»ùÒòÐÍΪXABXab¡¢XabY£¬ÔòF2ÖнØÃ«°×ÑÛÐÛ¹ûÓ¬µÄ»ùÒòÐÍΪXabY£¬ÆäÓëF2ÖеĴƹûÓ¬£¨»ùÒòÐÍÓÐ$\frac{1}{2}$XABXab¡¢$\frac{1}{2}$XabXab£©Ëæ»ú½»Å䣬×Ó´úµÄ±íÏÖÐͼ°±ÈÀýΪ¸ÕëºìÑÛ´Æ£º½ØÃ«°×ÑÛ´Æ£º¸ÕëºìÑÛÐÛ£º¸Õë°×ÑÛÐÛ=1£º3£º1£º3£®
£¨4£©ÈôF2ÖгöÏÖ$\frac{1}{25}$µÄ¸Õë°×ÑÛÐÛ¹ûÓ¬£¬ËµÃ÷·¢Éú¹ý½»²æ»¥»»£¬¼ÙÉèF1´ÆÐÔ²úÉúµÄÅä×ÓÖÐÖØ×éÀàÐÍËùÕ¼±ÈÀýΪX£¬ÔòX¡Á$\frac{1}{4}=\frac{1}{25}$£¬½âµÃX=$\frac{4}{25}$£®
¹Ê´ð°¸Îª£º
£¨1£©¸Õë¡¢ºìÑÛ
£¨2£©·ñ     ¿ØÖƹûÓ¬ºìÑÛÓë°×ÑÛÐÔ×´µÄ»ùÒòλÓÚXȾɫÌåÉÏ£¬¿ØÖƸÕëÓë½ØÃ«ÐÔ×´µÄ»ùÒòҲλÓÚXȾɫÌåÉÏ£¨´ð°¸ºÏÀí¼´¿É£©
£¨3£©¸ÕëºìÑÛ´Æ£º½ØÃ«°×ÑÛ´Æ£º¸ÕëºìÑÛÐÛ£º½ØÃ«°×ÑÛÐÛ=1£º3£º1£º3  
£¨4£©$\frac{4}{25}$

µãÆÀ ±¾Ì⿼²éÁ˰éÐÔÒÅ´«¡¢·ÖÀ붨ÂÉÒÔ¼°»ùÒòµÄÁ¬ËøµÈÓйØÖªÊ¶£¬ÒªÇó¿¼ÉúÊ×Ïȸù¾ÝÒÅ´«Í¼½âÈ·¶¨ÐÔ×´µÄÏÔÒþÐÔºÍÒÅ´«·½Ê½£¬¹Ø¼üÊÇÈ·¶¨»ùÒò´æÔÚÓÚÐÔȾɫÌåÉϵÄλÖ㬴ӶøÈ·¶¨»ùÒòÐÍ£¬ÔÙÀûÓÃÒÅ´«¶¨ÂɽøÐÐÏà¹ØµÄ¼ÆË㣮

Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
1£®ÓÐÒ»ÖÖXYÐÍÐÔ±ð¾ö¶¨µÄ³æÃ½»¨Ö²ÎÆä»¨°êÐÔ×´ÓÉA-aºÍB-bÁ½¶Ô¶ÀÁ¢ÒÅ´«µÄ»ùÒò¿ØÖÆ£¬ÆäÖÐB±í´ïΪºìÉ«£¬bΪ»ÆÉ«£¬Bb»ùÒòͬʱ´æÔÚΪºìÉ«£¬ÓÐÉ«»¨Ö²ÖêÖУ¬ÐÛÐÔÖ»ÓкìÉ«ºÍ»ÆÉ«£»Ã»ÓÐA»ùÒò½öÓÐa»ùÒòʱ£¬´ÆÐÔÖ²ÖêûÓл¨°ê¶ø²»Äܱ»À¥³æ±æÊ¶£®
£¨1£©B»ùÒòλXȾɫÌåÉÏ£¬ÔÚ×ÔÈ»ÖÖȺÖУ¬¿ØÖÆ»¨°êÐÔ×´µÄ»ùÒòÐ͹²ÓÐ15ÖÖ£®
£¨2£©Ä³Ò»³Èºì»¨Ö²ÖêÓë·Ö±ðÓëºì»¨Ö²Ö꣨ʵÑéÒ»£©ºÍ»Æ»¨Ö²Ö꣨ʵÑé¶þ£©ÔÓ½»£¬·Ö±ðµÃF1£®
¢Ù¶Ô¸ÃÖ²ÖêÈçºÎ²Ù×÷£¬²ÅÄÜ·Ö±ðÍê³ÉÓëºì»¨Ö²Ö꣨ʵÑéÒ»£©ºÍ»Æ»¨Ö²Ö꣨ʵÑé¶þ£©ÔÓ½»£¿
ÔÚ»¨ÀÙÆÚ¶Ôĸ±¾È¥ÐÛ£¬Ì×´ü£¬ÔÚ¿ª»¨ÆÚÀûÓú컨ֲÖê»ò»Æ»¨Ö²Öê½øÐÐÒ컨´«·Û²¢Ì×´ü
¢ÚÔÚʵÑéÒ»µÄF1ÖУ¬´ÆÐԺ컨£º´ÆÐԳȻ¨£º´ÆÐÔÎÞ»¨°ê£ºÐÛÐԺ컨£ºÐÛÐԻƻ¨=3£º3£º2£º4£º4£¬ÔòÔÚ×ÔÈ»Ìõ¼þÏ£¬F2ÖгȻ¨Õ¼$\frac{5}{24}$£®
¢ÛÔÚʵÑé¶þÖУ¬ÆäF1´úûÓÐÎÞ»¨°êÖ²ÖêµÄ²úÉú£¬Ôò»Æ»¨Ö²Ö꣨ʵÑé¶þ£©µÄ»ùÒòÐÍΪAAXbY£®
£¨3£©ÕâÖÖÖ²ÎﻨɫÓëÀ¥³æÖ®¼äµÄ¹ØÏµÌåÏÖÁËÉú̬ϵͳµÄÐÅÏ¢´«µÝ¹¦ÄÜ£®

Î¥·¨ºÍ²»Á¼ÐÅÏ¢¾Ù±¨µç»°£º027-86699610 ¾Ù±¨ÓÊÏ䣺58377363@163.com

¾«Ó¢¼Ò½ÌÍø