Question

20£®Ãϵ¶û»ñµÃ³É¹¦µÄÔ­ÒòÖ®Ò»ÊǺÏÀíÉè¼ÆÁËʵÑé³ÌÐò£®ËûÒÔ´¿Öָ߾¥£¨DD£©ºÍ°«¾¥£¨dd£©×÷Ç×±¾£¬·Ö±ðÉè¼ÆÁËA£º´¿ºÏÇ×±¾ÔÓ½»¡¢B£ºF₁×Ô½»¡¢C£ºF₁²â½»Èý×éʵÑ飬°´ÕÕ¼Ù˵ÑÝÒï·¨£¬¶ÔʵÑé½á¹û½øÐÐÁË·ÖÎö£¬×îºóµÃ³ö»ùÒò·ÖÀ붨ÂÉ£®¾Ý´Ë»Ø´ðÎÊÌ⣺
£¨1£©F₁µÄ»ùÒòÐÍÊÇDd£¬F₂Öи߾¥Óë°«¾¥µÄÐÔ×´·ÖÀë±ÈÊÇ3£º1
£¨2£©Õë¶ÔF₂³ÊÏÖÒ»¶¨µÄÐÔ×´·ÖÀë±È£¬Ãϵ¶ûÌá³ö¼Ù˵£®Çë´ÓÏÂÁÐÐòºÅÖÐÑ¡³ö¼Ù˵µÄÈ«²¿ÄÚÈÝ£º¢Ú¢Û¢Ý¢ß
¢ÙÉúÎïÐÔ×´ÊÇÓÉ»ùÒò¾ö¶¨µÄ£» 
¢ÚÉúÎïÐÔ×´ÊÇÓÉÒÅ´«Òò×Ó¾ö¶¨£»
¢ÛÌåϸ°ûÖÐÒÅ´«Òò×ÓÊdzɶԴæÔڵģ»
¢ÜÌåϸ°ûÖеÈλ»ùÒòÊdzɶԴæÔڵģ»
¢ÝÉúÎïÌåÐγÉÅä×Óʱ£¬³É¶ÔµÄÒÅ´«Òò×ӱ˴˷ÖÀ룬·Ö±ð½øÈ벻ͬµÄÅä×ÓÖУ»
¢ÞÉúÎïÌåÐγÉÅä×Óʱ£¬µÈλ»ùÒò·ÖÀ룬·Ö±ð½øÈ벻ͬµÄÅä×ÓÖУ»
¢ßÊܾ«Ê±´ÆÐÛÅä×ÓËæ»ú½áºÏ
£¨3£©Ãϵ¶ûÈý×éÔÓ½»ÊµÑéÖУ¬ÔÚ¼ìÑé¼ÙÉè½×¶ÎÍê³ÉµÄʵÑéÊÇF₁µÄ²â½»£®ÔÚÏÖÏó·ÖÎö½×¶ÎÍê³ÉµÄʵÑéÊÇÔÓ½»ºÍ×Ô½»£®
£¨4£©Í㶹µÄÌåϸ°ûÖÐȾɫÌåÊýĿΪ14Ìõ£¬ÈôD »ùÒòËùÔÚµÄͬԴȾɫÌåÔÚ¼õÊýµÚÒ»´Î·ÖÁÑʱ²»·ÖÀ룬DDµÄÍ㶹²úÉúµÄ´ÆÅä×ÓȾɫÌåÊýĿΪ6»òÕß8£®
£¨5£©Í㶹×ÓÒ¶µÄ»ÆÉ«£¨Y£©£¬Ô²Á£ÖÖ×Ó£¨R£©¾ùΪÏÔÐÔ£¬Á½Ç×±¾ÔÓ½»µÄF₁±íÏÖÐÔÈçͼ£¬ÆäÖлÆÉ«ÖåÁ£ÓëÂÌÉ«ÖåÁ£Ö®±ÈΪ1£º1£¬ÈÃF₁ÖлÆÉ«Ô²Á£Í㶹ÓëÂÌÉ«ÖåÁ£Í㶹ÔÓ½»£¬F₂µÄÐÔ×´·ÖÀë±È2£º1£º2£º1£®

Answer 1

·ÖÎö 1¡¢Ãϵ¶û¶ÔÒ»¶ÔÏà¶ÔÐÔ×´µÄÔÓ½»ÊµÑéµÄ½âÊÍ£º£¨1£©ÉúÎïµÄÐÔ×´ÊÇÓÉϸ°ûÖеÄÒÅ´«Òò×Ó¾ö¶¨µÄ£»£¨2£©Ìåϸ°ûÖеÄÒÅ´«Òò×ӳɶԴæÔÚ£»£¨3£©Åä×ÓÖеÄÒÅ´«Òò×ӳɵ¥´æÔÚ£»£¨4£©Êܾ«Ê±´ÆÐÛÅä×ÓËæ»ú½áºÏ£®
2¡¢²â½»µÄ¶¨ÒåÊÇÃϵ¶ûÔÚÑéÖ¤×Ô¼º¶ÔÐÔ×´·ÖÀëÏÖÏóµÄ½âÊÍÊÇ·ñÕýȷʱÌá³öµÄ£¬ÎªÁËÈ·¶¨×ÓÒ»´úÊÇÔÓºÏ×Ó»¹ÊÇ´¿ºÏ×Ó£¬ÈÃ×ÓÒ»´úÓëÒþÐÔ´¿ºÏ×ÓÔÓ½»£¬Í¨¹ý¹Û²ìºó´úµÄ±íÏÖÐͼ°±ÈÀýÀ´È·¶¨×ÓÒ»´úµÄ»ùÒòÐÍ£®

½â´ð ½â£º£¨1£©Ãϵ¶ûÔÓ½»ÊµÑéÖÐÇ×±¾Îª¸ß¾¥´¿ÖÖÍ붹£¨DD£©ºÍ°«¾¥´¿ÖÖÍ㶹£¨dd£©£¬¹ÊËùµÃµ½µÄF₁µÄ±íÏÖÐÍÈ«ÊǸ߾¥£¬»ùÒòÐÍÊÇDd£®F₁×Ô½»£¬ºó´úÖÐͬʱ³öÏÖÁ˸߾¥´¿ÖÖÍ붹ºÍ°«¾¥´¿ÖÖÍ㶹£¬ÕâÒ»ÏÖÏó½ÐÐÔ×´·ÖÀ룮Ãϵ¶û¶ÔF₂Öв»Í¬ÐÔ×´µÄ¸öÌå½øÐÐͳ¼Æ£¬·¢ÏÖF₂ÖÐ×Ó´ú¸ß¾¥ºÍ°«¾¥ÐÔ×´±ÈÊÇ 3£º1£®
£¨2£©Ãϵ¶ûËùÔÚµÄÄê´ú»¹Ã»ÓС°»ùÒò¡±Ò»´Ê£¬Õë¶ÔF₂³ÊÏÖÒ»¶¨µÄÐÔ×´·ÖÀë±È£¬Ãϵ¶ûÌá³öµÄ¼Ù˵ÊÇ£º¢ÚÉúÎïÐÔ×´ÊÇÓÉÒÅ´«Òò×Ó¾ö¶¨£»¢ÛÌåϸ°ûÖÐÒÅ´«Òò×ÓÊdzɶԴæÔڵģ»¢ÝÉúÎïÌåÐγÉÅä×Óʱ£¬³É¶ÔµÄÒÅ´«Òò×ӱ˴˷ÖÀ룬·Ö±ð½øÈ벻ͬµÄÅä×ÓÖУ»¢ßÊܾ«Ê±´ÆÐÛÅä×ÓËæ»ú½áºÏ£®
£¨3£©Ãϵ¶ûÈý×éÔÓ½»ÊµÑéÖУ¬ÔÚ¼ìÑé¼ÙÉè½×¶ÎÍê³ÉµÄʵÑéÊÇF₁µÄ²â½»£¬ÔÚÏÖÏó·ÖÎö½×¶ÎÍê³ÉµÄʵÑéÊÇÔÓ½»ºÍ×Ô½»£®
£¨4£©DDµÄĸ±¾ÓÉÓÚD»ùÒòËùÔÚµÄͬԴȾɫÌåÔÚ¼õÊýµÚÒ»´Î·ÖÁÑʱ²»·ÖÀ룬Ôò´Î¼¶ÂÑϸ°ûº¬ÓеÄȾɫÌåΪ6»òÕß8£¬Ôò´ÆÅä×ÓÖÐȾɫÌåÊýĿΪ6»ò8ÌõȾɫÌ壮
£¨5£©¸ù¾ÝÌâÒâºÍͼʾ·ÖÎö¿ÉÖª£ºÍ¼ÖÐÔ²Á££ºÖåÁ£=3£º1£¬ËµÃ÷Á½Ç×±¾µÄÏà¹Ø»ùÒòÐÍÊÇRr¡¢Rr£»»ÆÉ«£ºÂÌÉ«=1£º1£¬ËµÃ÷Á½Ç×±¾µÄÏà¹Ø»ùÒòÐÍÊÇYy¡¢yy£®F₁ÖлÆÉ«ÖåÁ£ÓëÂÌÉ«ÖåÁ£Ö®±ÈΪ1£º1£®Á½Ç×±¾µÄ»ùÒòÐÍΪYyRr¡¢yyRr£¬ÔòF₁ÖеĻÆÉ«Ô²Á£Í㶹£¨»ùÒòÐÍΪ$\frac{1}{3}$YyRR¡¢$\frac{2}{3}$YyRr£©ÓëÂÌÉ«ÖåÁ£Í㶹£¨»ùÒòÐÍΪyyrr£©ÔÓ½»£¬F₂ÂÌÉ«µÄ³öÏֵĸÅÂÊΪ$\frac{1}{2}$£¬ÖåÁ£³öÏֵĸÅÂÊΪ$\frac{2}{3}¡Á\frac{1}{2}$=$\frac{1}{3}$£¬ËùÒÔF₂µÄÔ²Á££ºÖåÁ£=2£º1£¬»ÆÉ«£ºÂÌÉ«=1£º1£¬¹ÊF₂µÄ±íÏÖÐͼ°±ÈÀýΪ»ÆÉ«Ô²Á££º»ÆÉ«ÖåÁ££»ÂÌÉ«Ô²Á££ºÂÌÉ«ÖåÁ£=2£º1£º2£º1£®
¹Ê´ð°¸Îª£º
£¨1£©Dd 3£º1
£¨2£©¢Ú¢Û¢Ý¢ß
£¨3£©F₁µÄ²â½» ÔÓ½»ºÍ×Ô½»
£¨4£©6»òÕß8
£¨5£©1£º1   2£º1£º2£º1

µãÆÀ ±¾Ì⿼²éÃϵ¶ûÒÅ´«ÊµÑé·½ÃæµÄ֪ʶ£¬¾ßÓÐÒ»¶¨µÄ×ÛºÏÐÔºÍÄѶȣ®ÒªÇó¿¼Éúʶ¼ÇÃϵ¶ûÒÅ´«ÊµÑé¹ý³Ì¼°Ãϵ¶û¶ÔÁ½¶ÔÏà¶ÔÐÔ×´µÄÔÓ½»ÊµÑéµÄ½âÊÍ£¬Ã÷È·²â½»ÊµÑé²¢Äܹ»¸ù¾Ý²â½»µÄ¶¨ÒåÉè¼ÆʵÑé·½°¸£®