Question

1£®ÓñÃ×ÅßÈéµ°°×ÖʲãµÄÑÕÉ«ÓÉλÓÚÁ½¶ÔͬԴȾɫÌåÉϵÄC¡¢cºÍPr¡¢prÁ½¶Ô»ùÒò¹²Í¬×÷Óþö¶¨£¬C¡¢c¿ØÖÆÓñÃ×»ù±¾É«ÔóÓÐÎÞ£¬c»ùÒòΪÏÔÐÔ£»Pr¡¢pr·Ö±ð¿ØÖÆÓñÃ×ÅßÈéµ°°×ÖʲãÑÕÉ«£¨×ÏÉ«ºÍºìÉ«£©£¬µ±C»ùÒòÉ«Ôó»ùÒò´æÔÚʱ£¬PrºÍpr»ùÒòµÄ×÷Óö¼¿É±íÏÖ£¬·Ö±ðʹÓñÃ×ÅßÈéµ°°×Öʲã³öÏÖ×ÏÉ«ºÍºìÉ«£¬µ±Ö»ÓÐc»ùÒò´æÔÚʱ£¬²»ÔÊÐíÆäËüÉ«Ôó»ùÒòÆð×÷Ó㬵°°×Öʲã³ÊÏÖ°×É«£®
£¨1£©ÓñÃ×ÅßÈéµ°°×ÖʲãÑÕÉ«µÄÒÅ´«±íÃ÷»ùÒòÓëÐÔ×´µÄ¹Øϵ²¢²»ÊǼòµ¥µÄÒ»ÏßÐÔ¹Øϵ£®
£¨2£©ÏÖÓкìÉ«µ°°×ÖʲãÖ²ÖêÓë°×É«µ°°×ÖʲãÖ²ÖêÔÓ½»£¬ºó´úȫΪ×ÏÉ«µ°°×Öʲã¸öÌ壬Ôò×ÏÉ«µ°°×Öʲ㠠ΪÏÔÐÔ£¬ÈôÇ×´ú¶¼Îª´¿ºÏ×Ó£¬Ôò»ùÒòÐÍΪCCprpr¡¢ccPrPr£®
£¨3£©Èô£¨2£©Ð¡ÌâÖеĴ¿ºÏÇ×±¾ÔÓ½»µÃµ½F₁£¬F₁×Ô½»£¬ÔòF₂µÄ±íÏÖÐͼ°±ÈÀýΪ×ÏÉ«µ°°×Öʲ㣺ºìÉ«µ°°×Öʲ㣺°×É«µ°°×Öʲã=9£º3£º4£®
£¨4£©Èô£¨3£©Ð¡ÌâF₂ÖеĺìÉ«µ°°×Öʲã¸öÌå×ÔÓɽ»Å䣬ÔòËùµÃF₃µÄ±íÏÖÐͼ°±ÈÀýΪºìÉ«µ°°×Öʲ㣺°×É«µ°°×Öʲã=8£º1£®
£¨5£©Èô°×É«µ°°×ÖʲãÔÓºÏ×Ó×Ô½»£¬Ôòºó´úÖÐÅßÈéϸ°ûµÄ»ùÒòÐÍÓÐ4ÖÖ£¬ÊÔд³öÆäÖÐÒ»ÖÖcccPrPrPr¡¢cccPrPrpr¡¢cccPrprpr¡¢cccprprpr£®

Answer 1

·ÖÎö ·ÖÎöÌâÒ⣺ºìÉ«µ°°×ÖʲãÖ²ÖêÓë°×É«µ°°×ÖʲãÖ²ÖêÔÓ½»£¬ºó´úȫΪ×ÏÉ«µ°°×Öʲ㣬˵Ã÷×ÏÉ«ÊÇÏÔÐÔÐÔ×´£¬»ùÒòÐÍΪ»ùÒòÐÍΪ C_Pr_£¬ÔòºìÉ«µ°°×ÖʲãµÄ»ùÒòÐÍΪC_prpr£¬°×É«µ°°×ÖʲãÖ²ÖêµÄ»ùÒòÐÍΪcc__£®

½â´ð ½â£º£¨1£©¸ù¾ÝÌâÒâ¿ÉÖªÓñÃ×ÅßÈéµ°°×ÖʲãµÄÑÕÉ«ÕâÒ»ÐÔ×´ÊÜÁ½¶ÔͬԴȾɫÌåÉϵÄC¡¢cºÍPr¡¢prÁ½¶Ô»ùÒò¹²Í¬×÷Óã¬ÊôÓÚ¶àÒòһЧ£¬²¢²»ÊÇÏßÐÔ¹Øϵ£®
£¨2£©ÓÉÓÚºó´úÈ«²¿Îª×ÏÉ«£¬»ùÒòÐÍΪ C_Pr_£¬¿ÉÒÔÍƶϺìÉ«µ°°×ÖʲãµÄ»ùÒòÐÍΪC_prpr£¬°×É«µ°°×ÖʲãÖ²ÖêµÄ»ùÒòÐÍΪccPrPr£¬ËùÒÔÈôÇ×´ú¶¼Îª´¿ºÏ×Ó£¬Ôò»ùÒòÐÍΪCCprpr¡¢ccPrPr£®
£¨3£©CCprpr¡¢ccPrPr´¿ºÏÇ×±¾ÔÓ½»£¬F₁»ùÒòÐÍΪCcPrpr£¬×Ô½»ºó´ú»ùÒòÐͼ°±ÈÀýΪC_Pr_£ºC_prpr£ºccPr_£ºccprpr=9£º3£º3£º1£¬ËùÒÔ±íÏÖÐͼ°±ÈÀýΪ×ÏÉ«µ°°×Öʲ㣺ºìÉ«µ°°×Öʲ㣺°×É«µ°°×Öʲã=9£º3£º4£®
£¨4£©F₂ÖеĺìÉ«µ°°×ÖʲãµÄ»ùÒòÐÍΪ$\frac{1}{3}$CCprpr¡¢$\frac{2}{3}$Ccprpr£¬¼ÆËã³öC=$\frac{2}{3}$£¬c=$\frac{1}{3}$£¬ËùÒÔF₂ÖеĺìÉ«µ°°×Öʲã¸öÌå×ÔÓɽ»Å䣬°×É«µ°°×Öʲã³öÏֵĸÅÂÊΪ$\frac{1}{3}¡Á\frac{1}{3}$=$\frac{1}{9}$£¬Òò´ËËùµÃF₃µÄ±íÏÖÐͼ°±ÈÀýΪºìÉ«µ°°×Öʲ㣺°×É«µ°°×Öʲã=8£º1£®
£¨5£©Èô°×É«µ°°×ÖʲãÔӺϣ¨ccPrpr£©×Ó×Ô½»£¬´ÆÐÔÅä×Ó¸÷ÓÐÁ½ÖÖcPr¡¢cpr£¬²úÉúµÄÅßÈéÊÇÓÉÁ½¸öÏàͬµÄ¼«ºËºÍÒ»¸ö¾«×ÓÐγɵģ¬Ôòºó´úÖÐÅßÈéϸ°ûµÄ»ùÒòÐÍÓÐcccPrPrPr¡¢cccPrPrpr¡¢cccPrprpr¡¢cccprprpr¹²4ÖÖ£®
¹Ê´ð°¸Îª£º
£¨1£©ÏßÐÔ
£¨2£©×ÏÉ«µ°°×ÖÊ²ã  CCprpr¡¢ccPrPr
£¨3£©×ÏÉ«µ°°×Öʲ㣺ºìÉ«µ°°×Öʲ㣺°×É«µ°°×Öʲã=9£º3£º4
£¨4£©ºìÉ«µ°°×Öʲ㣺°×É«µ°°×Öʲã=8£º1
£¨5£©4 cccPrPrPr¡¢cccPrPrpr¡¢cccPrprpr¡¢cccprprpr

µãÆÀ ±¾Ì⿼²é»ùÒò×ÔÓÉ×éºÏ¶¨Âɼ°ÔËÓõÄÏà¹Ø֪ʶ£¬ÒâÔÚ¿¼²éѧÉúµÄʶ¼ÇÄÜÁ¦ºÍÅжÏÄÜÁ¦£¬ÔËÓÃËùѧ֪ʶ×ۺϷÖÎöÎÊÌâºÍ½â¾öÎÊÌâµÄÄÜÁ¦£®Éæ¼°µ½×ÔÓÉ×éºÏÀàÒÅ´«ÖеÄÌØÀý·ÖÎö9£º3£º3£º1µÄ±äÐκÍÅßÈéµÄ֪ʶµã£¬ÄѶÈÔö´ó£®