ÌâÄ¿ÄÚÈÝ
¡¾ÌâÄ¿¡¿Ä³¶þ±¶ÌåÖ²ÎïµÄ»¨É«ÓлÆÉ«¡¢×ÏÉ«ºÍ°×É«£¬ÓÉÈý¸ö¸´µÈλ»ùÒò£¨A+¡¢A¡¢a£©¿ØÖÆ£¬A+¾ö¶¨»ÆÉ«£¬A¾ö¶¨×ÏÉ«£¬a¾ö¶¨°×É«£¬»ùÒòÐÍΪA+aºÍAaµÄÁ½ÖÖ¸öÌåÔÓ½»£¬×ÓÒ»´úµÄ±íÏÖÐͺͱÈÀýΪ»ÆÉ«£º×ÏÉ«£º°×É«=2:1:1¡£Çë»Ø´ðÏÂÁÐÎÊÌâ¡£
£¨1£©A+¡¢A¡¢aµÄÏÔÒþÐÔ¹ØϵÊÇ__________£¨Óá°>¡±±íʾÆäÏÔÒþ¹Øϵ£©¡£
£¨2£©ÔÚÉÏÊöÒÑÓÐÖ²ÖêÖÐÑ¡È¡________½øÐÐÔÓ½»£¬Èô×Ó´ú³öÏÖ__________½á¹û£¬ÔòÖ¤Ã÷¸ÃÖ²ÎﻨɫµÄÒÅ´«×ñÑÃϵ¶û¶¨ÂÉ¡£
£¨3£©ÒÑÖª¸ÃÖ²ÎïµÄ¿¹²¡£¨R£©ÓëÒ׸в¡£¨r£©»ùÒòλÓÚÒ»¶ÔͬԴȾɫÌåÉÏ£¬ÏÖÓд¿ºÏ¿¹²¡×ÏÉ«Ö²ÖêºÍÒ׸в¡°×É«Ö²ÖêÈô¸É£¬ÇëÉè¼ÆʵÑé̽¾¿»¨É«»ùÒòÓ뿹²¡»ùÒòÊÇ·ñλÓÚͬһ¶ÔͬԴȾɫÌåÉÏ£¨²»¿¼Âǽ»²æ»¥»»£©¡£Çëд³öʵÑé˼·²¢Ô¤ÆÚ½á¹û¼°½áÂÛ_________¡£
¡¾´ð°¸¡¿A+>A>a A+A ºÍaa£¨»òA+a ºÍaa»òAa ºÍaa£© »ÆÉ«£º×ÏÉ«=1:1£¨»ÆÉ«£º°×É«=1:1»ò×ÏÉ«£º°×É«=1:1£© ´ð°¸Ò»£ºÊµÑé¹ý³Ì£ºÈô¿ºÏ¿¹²¡×ÏÉ«Ö²ÖêÓëÒ׸в¡°×É«Ö²ÖêÔÓ½»£¬µÃµ½F1£¬ÈÃF1×Ô½»µÃµ½F2£¬¹Û²ì¼°Í³¼ÆF2µÄ±íÏÖÐͺͱÈÀý¡£Ô¤ÆÚ½á¹û¼°½áÂÛ£ºÈô¿¹²¡×ÏÉ«£º¿¹²¡°×É«£ºÒ׸в¡×ÏÉ«£ºÒ׸в¡°×É«=9:3:3:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£»Èô¿¹²¡×ÏÉ«£ºÒ׸в¡°×É«=3:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÒ»¶ÔͬԴȾɫÌåÉÏ
´ð°¸¶þ£ºÊµÑé¹ý³Ì£ºÈô¿ºÏ¿¹²¡×ÏÉ«Ö²ÖêÓëÒ׸в¡°×É«Ö²ÖêÔÓ½»£¬µÃµ½F1£¬ÈÃF1Óë´¿ºÏÒ׸в¡°×É«Ö²ÖêÔÓ½»µÃµ½F2£¬¹Û²ì¼°Í³¼ÆF2µÄ±íÏÖÐͺͱÈÀý¡£Ô¤ÆÚ½á¹û¼°½áÂÛ£ºÈô¿¹²¡×ÏÉ«£º¿¹²¡°×É«£ºÒ׸в¡×ÏÉ«£ºÒ׸в¡°×É«=1:1:1:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£»Èô¿¹²¡×ÏÉ«£ºÒ׸в¡°×É«=1:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÒ»¶ÔͬԴȾɫÌåÉÏ
¡¾½âÎö¡¿
¸´µÈλ»ùÒòÊÇλÓÚÒ»¶ÔͬԴȾɫÌåÉϵĿØÖÆͬһÐÔ×´µÄ²»Í¬»ùÒò£¬Ã¿Ò»¸ö¸öÌåÖ»º¬ÓÐÆäÖеÄÒ»ÖÖ»òÁ½ÖÖ£¬·ûºÏ»ùÒò·ÖÀ붨ÂÉ¡£
£¨1£©ÓÉÌâ¸ÉÐÅÏ¢Öª£¬»ùÒòÐÍΪA+aºÍAaµÄÁ½ÖÖ¸öÌåÔÓ½»£¬×ÓÒ»´úµÄ»ùÒòÐͼ°±ÈÀýΪA£«A£ºAa£ºA£«a£ºaa=1£º1:1:1£¬ÓÖÒòΪA+¾ö¶¨»ÆÉ«£¬A¾ö¶¨×ÏÉ«£¬a¾ö¶¨°×É«£¬¹Ê¿ÉÍÆ֪Ϊ»ÆÉ«£¨A£«A¡¢A£«a£©£º×ÏÉ«£¨Aa£©£º°×É«£¨aa£©=2:1:1£¬ÔòÈý¸ö»ùÒòµÄÏÔÒþÐÔ¹ØϵΪA+>A>a£»
£¨2£©Ãϵ¶ûÒÅ´«¶¨ÂɵÄʵÖÊÊǵÈλ»ùÒòËæͬԴȾɫÌåµÄ·Ö¿ª¶ø·ÖÀ룬ÓûÖ¤Ã÷¸ÃÖ²ÎﻨɫÒÅ´«×ñÑÃϵ¶û¶¨ÂÉ£¬¿ÉÔÚÉÏÊöÒÑÓÐÖ²ÖêÖÐÑ¡È¡A+A ºÍaa£¨»òA+a ºÍaa»òAa ºÍaa£©½øÐÐÔÓ½»£¬Èô×Ó´ú³öÏÖ»ÆÉ«£º×ÏÉ«=1:1£¨»ÆÉ«£º°×É«=1:1»ò×ÏÉ«£º°×É«=1:1£©£¬¼´¿ÉÖ¤Ã÷£»
£¨3£©ÀûÓô¿ºÏ¿¹²¡×ÏÉ«Ö²Ö꣨AARR£©ºÍÒ׸в¡°×É«Ö²Ö꣨aarr£©Èô¸É£¬¿ÉÒÔ¸ù¾Ý»ùÒò·ÖÀ붨ÂɺÍ×ÔÓÉ×éºÏ¶¨ÂÉÀ´Éè¼ÆʵÑé̽¾¿»¨É«»ùÒòÓ뿹²¡»ùÒòÊÇ·ñλÓÚͬһ¶ÔͬԴȾɫÌåÉÏ£¨²»¿¼Âǽ»²æ»¥»»£©£¬³£Óõķ½·¨ÓÐ×Ô½»·¨ºÍ²â½»·¨£¬¾ßÌå¹ý³ÌÈçÏ£º
ʵÑé¹ý³Ì£º£¨·½·¨Ò»£©Èô¿ºÍ¿¹²¡×ÏÉ«Ö²ÖêÓëÒ׸в¡°×É«Ö²ÖêÔÓ½»£¬µÃµ½F1£¬ÈÃF1×Ô½»µÃµ½F2£¬¹Û²ìF2µÄ±íÏÖÐͺͱÈÀý¡£Èç¹ûºó´ú±íÏÖÐͼ°±ÈÀýΪ£º¿¹²¡×ÏÉ«£º¿¹²¡°×É«£ºÒ׸в¡×ÏÉ«£ºÒ׸в¡°×É«=9:3:3:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£»Èç¹ûºó´ú±íÏÖÐͼ°±ÈÀýΪ¿¹²¡×ÏÉ«£ºÒ׸в¡°×É«=3:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÒ»¶ÔͬԴȾɫÌåÉÏ£»
£¨·½·¨¶þ£©Èô¿ºÍ¿¹²¡×ÏÉ«Ö²ÖêÓëÒ׸в¡°×É«Ö²ÖêÔÓ½»£¬µÃµ½F1£¬ÈÃF1Óë´¿ºÏÒ׸в¡°×É«Ö²ÖêÔÓ½»£¬µÃµ½F2£¬¹Û²ìF2µÄ±íÏÖÐͺͱÈÀý¡£Èç¹ûºó´ú±íÏÖÐͼ°±ÈÀýΪ£º¿¹²¡×ÏÉ«£º¿¹²¡°×É«£ºÒ׸в¡×ÏÉ«£ºÒ׸в¡°×É«=1:1:1:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÁ½¶ÔͬԴȾɫÌåÉÏ£»Èç¹ûºó´ú±íÏÖÐͼ°±ÈÀýΪ¿¹²¡×ÏÉ«£ºÒ׸в¡°×É«=1:1£¬Ôò»¨É«»ùÒòÓ뿹²¡»ùÒòλÓÚÒ»¶ÔͬԴȾɫÌåÉÏ¡£
¡¾ÌâÄ¿¡¿¹ûÓ¬µÄ¸¹²¿ÓаßÓëÎÞ°ßÊÇÒ»¶ÔÏà¶ÔÐÔ×´£¨Æä±íÏÖÐÍÓë»ùÒòÐ͵ĹØϵÈç±í£©¡£ÏÖÓÃÒ»Ö»ÎÞÐÛÓ¬ÓëÒ»Ö»ÓаßÐÛÓ¬½øÐÐÔÓ½»£¬²úÉúµÄ×Ó´úÓУº¢ÙÓаߴÆÓ¬¡¢¢ÚÎÞ°ßÐÛÓ¬¡¢¢ÛÎÞ°ß´ÆÓ¬¡¢¢ÜÓаßÐÛÓ¬¡£ÒÔÏ·ÖÎöÕýÈ·µÄÊÇ£¨¡¡¡¡£©
AA | Aa | aa | |
ÐÛÐÔ | ÓÐ°ß | ÓÐ°ß | ÎÞ°ß |
´ÆÐÔ | ÓÐ°ß | ÎÞ°ß | ÎÞ°ß |
A.¢ÜµÄ¾«³²Öв»¿ÉÄÜ´æÔÚÁ½Ìõº¬YȾɫÌåµÄϸ°û
B.¢ÚÓë¢ÛÔÓ½»²úÉúÓа߹ûÓ¬µÄ¸ÅÂÊΪ1/3
C.Ç×±¾ÎÞÐÛÓ¬µÄ»ùÒòÐÍΪAa
D.¢ÙÓëÓа߹ûÓ¬µÄÔÓ½»ºó´ú²»¿ÉÄÜÓÐÎÞ°ß¹ûÓ¬
¡¾ÌâÄ¿¡¿ÍÁÈÀ¶¯ÎïÊÇÍÁÈÀÉú̬ϵͳÖеÄÖØÒª×é³É²¿·Ö¡£¶ÔÓÀÖÝijµØÇøÈ˹¤Â̵ء¢Áֵء¢Å©Ìï3ÖÖ²»Í¬ÀàÐÍÍÁµØµÄµØÏÂÍÁÈÀ¶¯ÎïȺÂä½øÐÐÁ˵÷²é£¬½á¹û¼ûÏÂ±í¡£
ÑùµØ | ÀàȺÊý | ¸öÌåÊý | ||||
µÚ1²ã | µÚ2²ã | µÚ3²ã | µÚ1²ã | µÚ2²ã | µÚ3²ã | |
È˹¤¹ã³¡ÂÌµØ | 14 | 8 | 3 | 182 | 74 | 22 |
ijֲÎïÔ° | 13 | 7 | 4 | 190 | 92 | 18 |
Å©ÓÃµØ | 11 | 8 | 4 | 92 | 113 | 21 |
£¨×¢£ºµÚ1²ãΪ¾àµØ±í0¡«5cm£»µÚ2²ãΪ¾àµØ±í5¡«10cm£»µÚ3²ãΪ¾àµØ±í10¡«15cm¡££©
ÏÂÁÐÐðÊöÕýÈ·µÄÊÇ
A.ÈËÀà»î¶¯¶ÔÍÁÈÀ¶¯ÎïµÄÊýÁ¿ºÍ·Ö²¼´æÔÚÓ°Ïì
B.¸÷ÑùµØ²»Í¬ÍÁ²ãÍÁÈÀÖи÷¶¯ÎïÀàȺÖÖȺÃܶÈûÓÐÃ÷ÏԵIJîÒì
C.¸÷ÑùµØÏàͬÍÁ²ãÍÁÈÀÖж¯ÎïÀàȺ·á¸»¶ÈÓÐÃ÷ÏԵIJîÒì
D.¿ÉÓñêÖ¾Öز¶·¨µ÷²é¸÷ÑùµØÍÁÈÀÖж¯ÎïÀàȺÊý