ÌâÄ¿ÄÚÈÝ
ijÖÖÖ²ÎïҶƬµÄÐÎ×´Óɶà¶Ô»ùÒò¿ØÖÆ£®Ò»Ñ§ÉúÐËȤС×éµÄͬѧÓÃÒ»Ô²ÐÎÒ¶¸öÌåÓëÁíÒ»Ô²ÐÎÒ¶¸öÌåÔÓ½»£¬½á¹û×Ó´ú³öÏÖÁËÌõÐÎÒ¶¸öÌ壬Æä±ÈÀýΪԲÐÎÒ¶£ºÌõÐÎÒ¶=13£º3£®¾Í´Ë½á¹û£¬Í¬Ñ§ÃÇÕ¹¿ªÁËÌÖÂÛ£º
¹ÛµãÒ»£º¸ÃÐÔ×´ÊÜÁ½¶Ô»ùÒò¿ØÖÆ£®
¹Ûµã¶þ£º¸ÃÐÔ×´ÓÐÊÜÈý¶Ô»ùÒò¿ØÖƵĿÉÄÜÐÔ£¬ÐèÒªÔÙ×öһЩʵÑé¼ÓÒÔÑéÖ¤£®
¹ÛµãÈý£º¸ÃÐÔ×´µÄÒÅ´«²»×ñÑÒÅ´«µÄ»ù±¾¶¨ÂÉ£®
Çë»Ø´ðÒÔÏÂÏà¹ØÎÊÌ⣨¿ÉÒÀ´ÎÓÃAa¡¢Bb¡¢DdÀ´±íʾÏà¹Ø»ùÒò£©£º
£¨1£©ÒÔÉϹ۵ãÖÐÃ÷ÏÔ´íÎóµÄÊÇ £®
£¨2£©¹ÛµãÒ»µÄͬѧÈÏΪÁ½Ç×±¾µÄ»ùÒòÐÍ·Ö±ðÊÇ £¬×ñѵÄÒÅ´«¶¨ÂÉÓÐ £®
£¨3£©¹Ûµã¶þµÄͬѧÈÏΪÌõÐÎÒ¶ÊÇÈý¶Ô»ùÒò¾ùº¬ÏÔÐÔ»ùÒòʱµÄ±íÏÖÐÍ£¬¼´×Ó´úÖÐÌõÐÎÒ¶µÄ»ùÒòÐÍÊÇ £¬Á½Ç×±¾µÄ»ùÒòÐÍ·Ö±ðÊÇ £®
£¨4£©¾ÍÏÖÓвÄÁÏÀ´ÑéÖ¤¹Ûµã¶þʱ£¬¿É½«ÉÏÊö×Ó´úÖеÄÒ»ÖêÌõÐÎÒ¶¸öÌå½øÐÐ £¬Èç¹ûºó´ú³öÏÖÔ²ÐÎÒ¶£ºÌõÐÎÒ¶= £¬Ôò¹Ûµã¶þÓпÉÄÜÕýÈ·£®
¹ÛµãÒ»£º¸ÃÐÔ×´ÊÜÁ½¶Ô»ùÒò¿ØÖÆ£®
¹Ûµã¶þ£º¸ÃÐÔ×´ÓÐÊÜÈý¶Ô»ùÒò¿ØÖƵĿÉÄÜÐÔ£¬ÐèÒªÔÙ×öһЩʵÑé¼ÓÒÔÑéÖ¤£®
¹ÛµãÈý£º¸ÃÐÔ×´µÄÒÅ´«²»×ñÑÒÅ´«µÄ»ù±¾¶¨ÂÉ£®
Çë»Ø´ðÒÔÏÂÏà¹ØÎÊÌ⣨¿ÉÒÀ´ÎÓÃAa¡¢Bb¡¢DdÀ´±íʾÏà¹Ø»ùÒò£©£º
£¨1£©ÒÔÉϹ۵ãÖÐÃ÷ÏÔ´íÎóµÄÊÇ
£¨2£©¹ÛµãÒ»µÄͬѧÈÏΪÁ½Ç×±¾µÄ»ùÒòÐÍ·Ö±ðÊÇ
£¨3£©¹Ûµã¶þµÄͬѧÈÏΪÌõÐÎÒ¶ÊÇÈý¶Ô»ùÒò¾ùº¬ÏÔÐÔ»ùÒòʱµÄ±íÏÖÐÍ£¬¼´×Ó´úÖÐÌõÐÎÒ¶µÄ»ùÒòÐÍÊÇ
£¨4£©¾ÍÏÖÓвÄÁÏÀ´ÑéÖ¤¹Ûµã¶þʱ£¬¿É½«ÉÏÊö×Ó´úÖеÄÒ»ÖêÌõÐÎÒ¶¸öÌå½øÐÐ
¿¼µã£º»ùÒòµÄ×ÔÓÉ×éºÏ¹æÂɵÄʵÖʼ°Ó¦ÓÃ
רÌ⣺
·ÖÎö£º1¡¢»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄʵÖÊÊÇ£ºÎ»ÓÚ·ÇͬԴȾɫÌåÉϵķǵÈλ»ùÒòµÄ·ÖÀë»ò×ÔÓÉ×éºÏÊÇ»¥²»¸ÉÈŵģ»ÔÚ¼õÊý·ÖÁѹý³ÌÖУ¬Í¬Ô´È¾É«ÌåÉϵĵÈλ»ùÒò±Ë´Ë·ÖÀëµÄͬʱ£¬·ÇͬԴȾɫÌåÉϵķǵÈλ»ùÒò×ÔÓÉ×éºÏ£®
2¡¢Öð¶Ô·ÖÎö·¨£ºÊ×ÏȽ«×ÔÓÉ×éºÏ¶¨ÂÉÎÊÌâת»¯ÎªÈô¸É¸ö·ÖÀ붨ÂÉÎÊÌ⣻Æä´Î¸ù¾Ý»ùÒòµÄ·ÖÀ붨ÂɼÆËã³öÿһ¶ÔÏà¶ÔÐÔ×´ËùÇóµÄ±ÈÀý£¬×îºóÔÙÏà³Ë£®
2¡¢Öð¶Ô·ÖÎö·¨£ºÊ×ÏȽ«×ÔÓÉ×éºÏ¶¨ÂÉÎÊÌâת»¯ÎªÈô¸É¸ö·ÖÀ붨ÂÉÎÊÌ⣻Æä´Î¸ù¾Ý»ùÒòµÄ·ÖÀ붨ÂɼÆËã³öÿһ¶ÔÏà¶ÔÐÔ×´ËùÇóµÄ±ÈÀý£¬×îºóÔÙÏà³Ë£®
½â´ð£º
½â£º£¨1£©¸ù¾ÝÌâÖÐÔ²ÐÎÒ¶¡ÁÔ²ÐÎÒ¶¡úÔ²ÐÎÒ¶£ºÌõÐÎÒ¶=13£º3£¬ÊôÓÚ×ÔÓÉ×éºÏ¶¨ÂÉÖÐF2´ú±íÏÖÐÍ9£º3£º3£º1µÄ±äÐΣ¬ËùÒÔ¹ÛµãÈýÃ÷ÏÔ´íÎó£®
£¨2£©¸ù¾Ý¹ÛµãÒ»£¬ÒòΪºó´ú·¢ÉúÐÔ×´·ÖÀ룬Æä±íÏÖÐÍΪԲÐÎÒ¶£ºÌõÐÎÒ¶=13£º3£¬ÆäË«Ç×Ϊ˫ÔӺϸöÌ壬×ñÑ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®
£¨3£©³Ö¹Ûµã¶þµÄͬѧÈÏΪÌõÐÎÒ¶ÊÇÈý¶Ô»ùÒò¾ùº¬ÏÔÐÔ»ùÒòʱµÄ±íÏÖÐÍ£¬¼´×Ó´úÖÐÌõÐÎÒ¶µÄ»ùÒòÐÍÒ»¶¨ÒªÓÐÈýÖÖÏÔÐÔ»ùÒò£¬ÎªA__BbDd£¨»òAaB__Dd»òAaBbD__£©£¬Á½Ç×±¾µÄ±íÏÖÐÍÊÇÔ²ÐÎÒ¶£¬ËùÒÔ»ùÒòÐÍÓ¦²»º¬ÈýÖÖÏÔÐÔ»ùÒò£¬Í¬Ê±±£Ö¤×Ó´úÄܳöÏÖÈýÖÖÏÔÐÔ»ùÒò£¬²¢ÇÒÌõÐÎÒ¶ËùÕ¼±ÈÀýΪ
£¬Ç×±¾»ùÒòÐÍÊÇAabbDd¡¢AaBbdd£¨»òAaBbdd¡¢aaBbDd»òAabbDd¡¢aaBbDd£©£®
£¨4£©ÔÚÑéÖ¤Ö²Îï»ùÒòÐ͵ÄʵÑéÖÐ×î¼ò±ãµÄ·½·¨¾ÍÊÇ×Ô½»£®¼ÙÈçÇ×±¾»ùÒòÐÍÊÇAabbDd¡¢AaBbdd£¬×Ó´úÌõÐÎÒ¶µÄ»ùÒòÐ;ÍÓÐÁ½ÖÖ£ºAABbDdºÍAaBbDd£®AABbDd×Ô½»£¬×Ó´ú³öÏÖÌõÐÎÒ¶µÄ±ÈÀýÊÇ1¡Á
¡Á
=
£¬¼´×Ó´úÔ²ÐÎÒ¶£ºÌõÐÎÒ¶=7£º9£»AaBbDd×Ô½»£¬×Ó´ú³öÏÖÌõÐÎÒ¶µÄ±ÈÀýÊÇ
¡Á
¡Á
=
£¬¼´Ô²ÐÎÒ¶£ºÌõÐÎÒ¶=37£º27£®
¹Ê´ð°¸Îª£º
£¨1£©¹ÛµãÈý
£¨2£©AaBb¡¢AaBb ·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂÉ£¨Ö»´ð×ÔÓÉ×éºÏ¶¨ÂÉÒ²¿É£©
£¨3£©A__BbDd£¨»òAaB__Dd»òAaBbD__£© AabbDd¡¢AaBbdd£¨»òAaBbdd¡¢aaBbDd»òAabbDd¡¢aaBbDd£©
£¨4£©×Ô½» 7£º9»ò37£º27
£¨2£©¸ù¾Ý¹ÛµãÒ»£¬ÒòΪºó´ú·¢ÉúÐÔ×´·ÖÀ룬Æä±íÏÖÐÍΪԲÐÎÒ¶£ºÌõÐÎÒ¶=13£º3£¬ÆäË«Ç×Ϊ˫ÔӺϸöÌ壬×ñÑ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂÉ£®
£¨3£©³Ö¹Ûµã¶þµÄͬѧÈÏΪÌõÐÎÒ¶ÊÇÈý¶Ô»ùÒò¾ùº¬ÏÔÐÔ»ùÒòʱµÄ±íÏÖÐÍ£¬¼´×Ó´úÖÐÌõÐÎÒ¶µÄ»ùÒòÐÍÒ»¶¨ÒªÓÐÈýÖÖÏÔÐÔ»ùÒò£¬ÎªA__BbDd£¨»òAaB__Dd»òAaBbD__£©£¬Á½Ç×±¾µÄ±íÏÖÐÍÊÇÔ²ÐÎÒ¶£¬ËùÒÔ»ùÒòÐÍÓ¦²»º¬ÈýÖÖÏÔÐÔ»ùÒò£¬Í¬Ê±±£Ö¤×Ó´úÄܳöÏÖÈýÖÖÏÔÐÔ»ùÒò£¬²¢ÇÒÌõÐÎÒ¶ËùÕ¼±ÈÀýΪ
| 3 |
| 16 |
£¨4£©ÔÚÑéÖ¤Ö²Îï»ùÒòÐ͵ÄʵÑéÖÐ×î¼ò±ãµÄ·½·¨¾ÍÊÇ×Ô½»£®¼ÙÈçÇ×±¾»ùÒòÐÍÊÇAabbDd¡¢AaBbdd£¬×Ó´úÌõÐÎÒ¶µÄ»ùÒòÐ;ÍÓÐÁ½ÖÖ£ºAABbDdºÍAaBbDd£®AABbDd×Ô½»£¬×Ó´ú³öÏÖÌõÐÎÒ¶µÄ±ÈÀýÊÇ1¡Á
| 3 |
| 4 |
| 3 |
| 4 |
| 9 |
| 16 |
| 3 |
| 4 |
| 3 |
| 4 |
| 3 |
| 4 |
| 27 |
| 64 |
¹Ê´ð°¸Îª£º
£¨1£©¹ÛµãÈý
£¨2£©AaBb¡¢AaBb ·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂÉ£¨Ö»´ð×ÔÓÉ×éºÏ¶¨ÂÉÒ²¿É£©
£¨3£©A__BbDd£¨»òAaB__Dd»òAaBbD__£© AabbDd¡¢AaBbdd£¨»òAaBbdd¡¢aaBbDd»òAabbDd¡¢aaBbDd£©
£¨4£©×Ô½» 7£º9»ò37£º27
µãÆÀ£º±¾Ì⿼²éÁË»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄÓ¦ÓÃ֪ʶ£¬ÒâÔÚ¿¼²é¿¼ÉúµÄ·ÖÎöÄÜÁ¦ºÍÀí½âÓ¦ÓÃÄÜÁ¦£¬ÄѶÈÊÊÖУ®»ùÒòµÄ·ÖÀ붨ÂÉÊÇ»ùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂɵĻù´¡£¬Òò´ËÔÚ½â´ð±¾Ìâʱ£¬Ê×ÏÈÀûÓ÷ÖÀ붨ÂɶÔÁ½¶Ô»ùÒòÖð¶Ô¿¼ÂÇ£¬È»ºóÔÙÀûÓó˷¨·¨Ôò½øÐÐ×éºÏ£®
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
¹ØÓÚÉñ¾µ÷½ÚÓëÌåÒºµ÷½ÚµÄÏà¹ØÐðÊö£¬²»ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
| A¡¢Éñ¾µ÷½ÚѸËÙ¡¢×¼È·£¬×÷ÓÃʱ¼ä¶ÌÔÝ£¬µ«×÷Ó÷¶Î§±È½Ï¾ÖÏÞ |
| B¡¢ÌåÒºµ÷½Ú»ºÂý£¬×÷Ó÷¶Î§¹ã·º£¬×÷ÓÃʱ¼ä³Ö¾Ã |
| C¡¢ÔÚijЩÇé¿öÏ£¬ÌåÒºµ÷½Ú¿ÉÒÔ¿´×öÉñ¾µ÷½ÚµÄÒ»¸ö»·½Ú |
| D¡¢¶¯ÎïÌåµÄÉúÃü»î¶¯³£³£Í¬Ê±ÊÜÉñ¾ºÍÌåÒºµÄµ÷½Ú£¬µ«ÌøË®Ô˶¯Ô±ÔںܶÌʱ¼äÄÚ×÷³ö¸´Ôӵ͝×÷Ö»ÊÇͨ¹ýÉñ¾µ÷½ÚÀ´Íê³ÉµÄ |
ÅàÓý¡°ÊÔ¹ÜɽÑò¡±µÄ»ù±¾¹ý³ÌÈçͼËùʾ£¬ÈôÒª³É¹¦£¬ÏÂÁÐÐðÊöÕýÈ·µÄÊÇ£¨¡¡¡¡£©

| A¡¢¼×¹ý³ÌÖпÉͨ¹ýµç´Ì¼¤·¨²É¼¯ÂÑĸϸ°û |
| B¡¢²É¼¯µ½µÄÂÑĸϸ°ûºÍ¾«×Ó¿ÉÖ±½ÓÌåÍâÊܾ« |
| C¡¢±û¹ý³ÌÒ»°ãÊǽ«Êܾ«ÂÑÅàÑøµ½É£é©Åß»òÄÒÅß½×¶Î |
| D¡¢¶¡¹ý³ÌÖÐÔçÆÚÅßÌ¥ÐëÒÆÖ²µ½Ó빩ÌåÐÔ×´ÏàͬµÄ´úÔÐĸÑò×Ó¹¬ÄÚ |
ÏÂÁÐÓйØÅßÌ¥¹¤³ÌµÄÐðÊö£¬ÕýÈ·µÄÊÇ£¨¡¡¡¡£©
| A¡¢ÄÒÅ߯Úϸ°û·Ö»¯ÊÇÓÉÓÚÒÅ´«ÎïÖÊÍ»±äÒýÆðµÄ |
| B¡¢²É¼¯µÄÂÑĸϸ°ûÓ¦Á¢¼´Ó뾫×Ó¹²Í¬·ÅÈëÅàÑøÒº²ÅÄÜÐγÉÊܾ«ÂÑ |
| C¡¢³ÉÊìÂÑ×ÓÓëÊÕ¼¯À´µÄ¾«×ÓÏàÓöÐγɵÄÊܾ«ÂÑÐèÅàÑøµ½Ò»¶¨½×¶Î²Å¿ÉÒÆÖ² |
| D¡¢²¸È鶯ÎïÔçÆÚÅßÌ¥ÔÚÒ»¶¨Ê±¼äÄÚÓëĸÌå×Ó¹¬½¨Á¢×éÖ¯ÉϵÄÁªÏµ£¬±ãÓÚÅßÌ¥µÄ´æ»î |
ÏÂÁÐÓйØËµ·¨´íÎóµÄÊÇ£¨¡¡¡¡£©
| A¡¢µ÷²éÈËȺÖеÄÒÅ´«²¡Ê±£¬µ÷²éµÄȺÌå×ã¹»´ó£¬²ÅÄܱ£Ö¤¼ÆËã³öµÄ·¢²¡ÂʽÏ׼ȷ |
| B¡¢µ÷²éÍÁÈÀÖÐС¶¯Îï·á¸»¶Èʱ£¬³£²ÉÓÃÈ¡ÑùÆ÷È¡Ñù·¨½øÐвɼ¯¡¢µ÷²é |
| C¡¢Ì½¾¿ÅàÑøÒºÖнÍĸ¾úÖÖȺÊýÁ¿µÄ±ä»¯Ê±£¬³£²ÉÓóéÑù¼ì²âµÄ·½·¨¹ÀËãÊÔ¹ÜÖнÍĸ¾ú×ÜÊý |
| D¡¢µ÷²éÌøò»È³æµÄÓ׳棩µÄÖÖȺÃܶȳ£²ÉÓñêÖ¾ÖØ²¶·¨ |