ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿±¨´º»¨µÄ»¨É«ÐÔ×´Öа×É«£¨Ö»º¬°×É«ËØ£©Óë»ÆÉ«£¨º¬»ÆÉ«½õ¿ûÉ«ËØ£©ÊÇÒ»¶ÔÏà¶ÔÐÔ×´£¬ÓÉÁ½¶ÔµÈλ»ùÒò£¨AºÍa£¬BºÍb£©¹²Í¬¿ØÖÆ¡£AÓëBµÄ×÷ÓûúÖÆÈçÏÂͼËùʾ¡£Çë¾Ýͼ»Ø´ð£º
£¨1£©»ùÒòAºÍ»ùÒòBͨ¹ý¿ØÖÆ__________________£¬´Ó¶øʵÏÖ¶Ô»¨É«µÄ¿ØÖÆ¡£¿ØÖƱ¨´º»¨»¨É«ÒÅ´«µÄÁ½¶Ô»ùÒò_______________£¨´ð¡°×ñÑ¡±»ò¡°²»×ñÑ¡±£©»ùÒò×ÔÓÉ×éºÏ¶¨ÂÉ¡£
£¨2£©»ÆÉ«±¨´º»¨Ö²ÖêµÄ»ùÒòÐÍÊÇ__________________¡£Ä³Í¬Ñ§ÏëÀûÓÃÏÖÓеĴ¿ÖÖ°×»¨Ö²ÖêÅàÓý³öÄÜÎȶ¨ÒÅ´«µÄ»Æ»¨Ö²Ö꣬ËûÉè¼ÆµÄÓýÖÖ·½°¸Îª£ºÏÈÑ¡Ôñ»ùÒòÐÍΪ_________ºÍ_________µÄÁ½¸öÆ·ÖÖ½øÐÐÔÓ½»»ñµÃF1£¬ÈÃF1Ö²Öê×Ô½»»ñµÃF2£»´ÓF2Ö²ÖêÖÐÑ¡Ôñ¿ª»Æ»¨µÄ¸öÌå½øÐÐ×Ô½»ÁôÖÖ£»×Ô½»Èô¸É´ú£¬Ö±µ½ºó´ú²»·¢ÉúÐÔ×´·ÖÀë¡£
£¨3£©¸ù¾Ý£¨2£©ÊµÑé¹ý³Ì·ÖÎö£¬F2Öпª»Æ»¨Óë°×»¨µÄÖ²ÖêÖ®±ÈΪ_________¡£¿ª»Æ»¨µÄF2Ö²Öê×Ô½»µÃF3£¬F3Öпª»Æ»¨µÄ´¿ºÏ×ÓËùÕ¼±ÈֵΪ_____________¡£
¡¾´ð°¸¡¿ ¿ØÖÆøµÄºÏ³ÉÀ´¿ØÖÆ´úл ×ñÑ AAbb¡¢Aabb AABB aabb 3:13 1/2
¡¾½âÎö¡¿¡¾ÊÔÌâ·ÖÎö¡¿
±¾Ì⿼²é»ùÒòµÄ×ÔÓÉ×éºÏ¹æÂɵÄʵÖʼ°Ó¦ÓõÄÏà¹Ø֪ʶ¡£½âÌâµÄ¹Ø¼üÊÇÕýȷʶͼ£¬ÌáÈ¡ÓÐÓõÄÐÅÏ¢£º»ÆÉ«±¨´º»¨µÄ»ùÒòÐÍΪA_bb£¬ÆäÓà»ùÒòÐ;ùΪ°×É«£¬¼´¿ª°×É«±¨´º»¨Ö²ÖêµÄ»ùÒòÐÍΪA_B_¡¢aaB_¡¢aabb¡£È»ºóÔÙ¸ù¾ÝËùѧ»ù´¡ÖªÊ¶£¬½áºÏÌâÄ¿ÒªÇó·ÖÎö×÷´ð¼´¿É¡£
£¨1£©ÌâͼΪ»ùÒòAÓëBµÄ×÷ÓûúÖÆ£¬ÆäÖлùÒòAÄÜ¿ØÖÆijÖÖøµÄºÏ³É£¬ÕâÖÖøÄÜ´Ù½ø°×É«ËغϳɻÆÉ«ËØ£¬ËµÃ÷»ùÒòÊÇͨ¹ý¿ØÖÆøµÄºÏ³É¿ØÖÆ´úл£¬½ø¶ø¿ØÖÆÉúÎïµÄÐÔ×´µÄ£»¸ù¾ÝÌâÒâ¿ÉÖª£¬A»ùÒòλÓÚ3ºÅȾɫÌåÉÏ£¬B»ùÒòλÓÚ1ºÅȾɫÌåÉÏ£¬¼´AÓëB»ùÒòÊôÓÚ·ÇͬԴȾɫÌåÉϵķǵÈλ»ùÒò£¬Ôò¿ØÖƱ¨´º»¨»¨É«ÒÅ´«µÄÁ½¶Ô»ùÒò×ñÑ»ùÒò×ÔÓÉ×éºÏ¶¨ÂÉ¡£
£¨2£©·ÖÎöͼÐοÉÖª£¬µ±A´æÔÚB²»´æÔÚʱ£¬°×É«ËØ¿ÉÐγɻÆÉ«½õ¿ûËØ£¬ËùÒÔ¿ª»Æ»¨µÄ±¨´º»¨Ö²ÖêµÄ»ùÒòÐÍ¿ÉÄÜÊÇAAbb»òAabb£»¸ù¾ÝÌâÒâ·ÖÎö¿ÉÖª£¬»ÆÉ«±¨´º»¨µÄ»ùÒòÐÍΪA_bb£¬ÆäÓà»ùÒòÐ;ùΪ°×É«£¬¼´¿ª°×É«±¨´º»¨Ö²ÖêµÄ»ùÒòÐÍΪA_B_¡¢aaB_¡¢aabb¡£ÔÚÖ»Óа׻¨´¿ÖÖ£¨AABB¡¢aaBBºÍaabb£©µÄÇé¿öÏ£¬ÎªÁËÅàÓý³öÄÜÎȶ¨ÒÅ´«µÄ»ÆÉ«£¨AAbb£©Æ·ÖÖ£¬¿ÉÒÔÑ¡Ôñ»ùÒòÐÍΪAABB¡¢aabb µÄÁ½¸öÆ·ÖÖÐÐÔÓ½»£¬µÃµ½F1ÖÖ×ÓAaBb£¬ÈÃF1Ö²Öê×Ô½»»ñµÃF2£»´ÓF2Ö²ÖêÖÐÑ¡Ôñ¿ª»Æ»¨£¨A_bb£©µÄ¸öÌå½øÐÐ×Ô½»ÁôÖÖ£»×Ô½»Èô¸É´ú£¬Ö±µ½ºó´ú²»·¢ÉúÐÔ×´·ÖÀë¡£
£¨3£©¸ù¾Ý£¨2£©ÊµÑé¹ý³Ì·ÖÎö£¬F1AaBb×Ô½»£¬ºó´úF2Öпª»Æ»¨Ö²Ö꣨A_bb£©Õ¼3/4¡Á1/4£½3/16£¬F2Öпª°×»¨Ö²ÖêÕ¼1£3/16£½13/16£¬¹ÊF2Öпª»Æ»¨Óë°×»¨µÄÖ²ÖêÖ®±ÈΪ3¡Ã13£»¿ª»Æ»¨µÄF2Ö²ÖêÖÐAAbbÕ¼1/3¡¢AabbÕ¼2/3£¬ÕâЩֲÖê×Ô½»µÃF3£¬F3Öпª»Æ»¨µÄ´¿ºÏ×Ó£¨AAbb£©ËùÕ¼±ÈֵΪ1/3£«2/3¡Á1/4£½1/2¡£