ÌâÄ¿ÄÚÈÝ
15£®¹ûÓ¬µÄ³áÓг¤³áºÍ²Ð³áÁ½ÖÖ£¬ÑÛÉ«ÓкìÑۺͰ×ÑÛÁ½ÖÖ£¬·Ö±ðÓÉA¡¢aºÍB¡¢bÁ½¶ÔµÈλ»ùÒò¿ØÖÆ£®¼×ͼΪij¹ûÓ¬µÄȾɫÌå¼°»ùÒò×é³É£¬½«¸Ã¹ûÓ¬Óë¡°ÁíÒ»Ç×±¾¡±ÔÓ½»£¬F1µÄ±íÏÖÐͼ°ÆäÊýÁ¿¹ØÏµÈçÒÒͼ£¬Çë·ÖÎö»Ø´ð£º£¨1£©¼×ͼËùʾµÄ¹ûÓ¬Ìåϸ°ûÓÐË¿·ÖÁѺóÆÚÒÆÏòÁ½¼«µÄȾɫÌåÉϵĻùÒò×é³É·Ö±ðÊÇAaXB¡¢AaXB£»¼õÊýµÚÒ»´Î·ÖÁѺóÆÚÒÆÏòÁ½¼«µÄȾɫÌåÉϵĻùÒò×é³É·Ö±ðÊÇAAXBXB¡¢aa»òAA¡¢aaXBXB£»¼õÊýµÚ¶þ´Î·ÖÁѺóÆÚÒÆÏòÁ½¼«µÄȾɫÌåÉϵĻùÒò×é³É·Ö±ðÊÇAXB¡¢AXB»òa¡¢a»òA¡¢A»òaXB¡¢aXB£®
£¨2£©·ÖÎö¼×¡¢ÒÒÁ½Í¼¿ÉÖªÓë¸Ã¹ûÓ¬ÔÓ½»µÄÁíÒ»Ç×±¾µÄ»ùÒòÐÍΪAaXBXb£¬F1³¤³áºìÑÛ´ÆÓ¬Öд¿ºÏÌåÕ¼µÄ±ÈÀýΪ$\frac{1}{6}$£®
£¨3£©F1³¤³áºìÑÛ´ÆÐÛ¹ûÓ¬×ÔÓɽ»Å䣬F2Öвгá°×Ñ۴ƹûÓ¬ËùÕ¼±ÈÀýΪ0£¬²Ð³á°×ÑÛÐÛ¹ûÓ¬ËùÕ¼±ÈÀýΪ$\frac{1}{72}$£®
·ÖÎö ·ÖÎöͼ¼×£ºÍ¼¼×±íʾÐÛ¹ûÓ¬£¬»ùÒòÐÍ¿ÉÒÔ±íʾΪAaXBY£¬ÁíÒ»Ç×±¾ÔòΪ´Æ¹ûÓ¬£®
·ÖÎöͼÒÒ£ººó´úÖÐÐÛ¹ûÓ¬ºÍ´Æ¹ûÓ¬µÄ³¤³áºÍ²Ð³áµÄ±ÈÀý¾ùΪ3£º1£¬Òò´ËÇ×±¾»ùÒòÐ;ùΪAa£»ºó´úÖУ¬ÐÛ¹ûÓ¬ÓÐÁ½ÖÖ±íÏÖÐÍ£¬ËµÃ÷ĸ±¾ÎªÔÓºÏ×Ó£¬»ùÒòÐÍΪXBXb£®
½â´ð ½â£º£¨1£©Í¼¼×±íʾÐÛ¹ûÓ¬£¬»ùÒòÐÍ¿ÉÒÔ±íʾΪAaXBY£¬¸Ã¹ûÓ¬Ìåϸ°ûÓÐË¿·ÖÁѺóÆÚʱ£¬¸´ÖƵÄϸ°ûºËDNAƽ¾ù·ÖÅ䵽ϸ°ûµÄÁ½¼«£¬Òò´ËÒÆÏòÁ½¼«µÄȾɫÌåÉϵĻùÒò×é³É·Ö±ðÊÇAaXB¡¢AaXB£»¼õÊýµÚÒ»´Î·ÖÁѺóÆÚʱ£¬µÈλ»ùÒòËæ×ÅͬԴȾɫÌåµÄ·Ö¿ª¶ø·ÖÀ룬λÓÚ·ÇͬԴȾɫÌåÉϵķǵÈλ»ùÒò½øÐÐ×ÔÓÉ×éºÏ£¬Òò´ËÒÆÏòÁ½¼«µÄȾɫÌåÉϵĻùÒò×é³É·Ö±ðÊÇAAXBXB¡¢aa»òAA¡¢aaXBXB£»¼õÊýµÚ¶þ´Î·ÖÁѺóÆÚÀàËÆÓÚÓÐË¿·ÖÁѺóÆÚ£¬Òò´ËÒÆÏòÁ½¼«µÄȾɫÌåÉϵĻùÒò×é³É·Ö±ðÊÇAXB¡¢AXB»òa¡¢a»òA¡¢A»òaXB¡¢aXB£®
£¨2£©·ÖÎöͼÒÒ£¬ºó´úÖÐÐÛ¹ûÓ¬ºÍ´Æ¹ûÓ¬µÄ³¤³áºÍ²Ð³áµÄ±ÈÀý¾ùΪ3£º1£¬Òò´ËÇ×±¾»ùÒòÐ;ùΪAa£»ºó´úÖУ¬ÐÛ¹ûÓ¬ÓÐÁ½ÖÖ±íÏÖÐÍ£¬ËµÃ÷ĸ±¾ÎªÔÓºÏ×Ó£¬»ùÒòÐÍΪXBXb£¬¼´Óë¸Ã¹ûÓ¬ÔÓ½»µÄÁíÒ»Ç×±¾µÄ»ùÒòÐÍΪAaXBXb£¬F1³¤³áºìÑÛ´ÆÓ¬£¨A_XBX-£©Öд¿ºÏÌ壨AAXBXB£©Õ¼µÄ±ÈÀý=£¨$\frac{1}{4}¡Á\frac{1}{4}$£©¡Â£¨$\frac{3}{4}¡Á\frac{1}{2}$£©=$\frac{1}{6}$£®
£¨3£©F1³¤³áºìÑ۴ƹûÓ¬»ùÒòÐÍÓУ¨$\frac{1}{3}$AA¡¢$\frac{2}{3}$Aa£©£¨$\frac{1}{2}$XBXB¡¢$\frac{1}{2}$XBXb£©£¬F1³¤³áºìÑÛÐÛ¹ûÓ¬µÄ»ùÒòÐÍÓÐ$\frac{1}{3}$AAXBY¡¢$\frac{2}{3}$AaXBY£¬ËüÃÇ×ÔÓɽ»Å䣬F2Öв»»á³öÏֲгá°×Ñ۴ƹûÓ¬£¨aaXbXb£©£¬²Ð³á°×ÑÛÐÛ¹ûÓ¬£¨aaXbY£©ËùÕ¼±ÈÀý=$\frac{2}{3}¡Á\frac{2}{3}¡Á\frac{1}{4}¡Á\frac{1}{4}¡Á\frac{1}{2}=\frac{1}{72}$£®
¹Ê´ð°¸Îª£º
£¨1£©AaXB¡¢AaXB AAXBXB¡¢aa»òAA¡¢aaXBXB AXB¡¢AXB»òa¡¢a»òA¡¢A»òaXB¡¢aXB
£¨2£©AaXBXb $\frac{1}{6}$
£¨3£©0 $\frac{1}{72}$
µãÆÀ ±¾Ì⿼²éÁËϸ°û·ÖÁÑ¡¢°éÐÔÒÅ´«ÒÔ¼°»ùÒò×ÔÓÉ×éºÏ¶¨ÂɵÄÓ¦Óã¬ÒªÇó¿¼ÉúÄܹ»ÕÆÎÕÓÐË¿·ÖÁѺͼõÊý·ÖÁѵĹý³Ì£¬ÕÆÎÕÒÅ´«¶¨ÂɵÄʵÖÊ£¬Äܹ»ÀûÓûùÒòµÄ×ÔÓÉ×éºÏ¶¨ÂɽøÐÐÏà¹Ø¸ÅÂʵļÆË㣬ÄѶÈÊÊÖУ®
| A£® | ¸Ã²¡ÊÇÓÉÏÔÐÔ»ùÒò¿ØÖÆ | |
| B£® | ¸Ã²¡ÊǰéXȾɫÌåÒþÐÔÒÅ´«²¡ | |
| C£® | 8ºÅ´øÓÐÖ²¡»ùÒòµÄ¸ÅÂÊÊÇ0 | |
| D£® | 7ºÅÓë8ºÅÔÙÉúÒ»¸ö»¼²¡Äк¢µÄ¸ÅÂÊÊÇ$\frac{1}{12}$ |
| A£® | 1·Ö×ÓATPÓÉÒ»·Ö×ÓÏÙàÑßʺÍÈý·Ö×ÓÁ×Ëá×é³É | |
| B£® | Ò»¸öATP·Ö×ÓÖÐÓÐÈý¸öÁ×Ëá»ùÍÅ¡¢Èý¸ö¸ßÄÜÁ×Ëá¼ü | |
| C£® | ϸ°ûÄÚATPµÄº¬Á¿×ÜÊÇ´¦ÓÚ¶¯Ì¬Æ½ºâÖ®ÖÐ | |
| D£® | Ò¶Èâϸ°ûÏûºÄµÄATPÈ«²¿À´×ÔÒ¶ÂÌÌåºÍÏßÁ£Ìå |
| A£® | Ö÷¶¯ÔËÊäºÍ×ÔÓÉÀ©É¢ | B£® | ×ÔÓÉÀ©É¢ºÍÖ÷¶¯ÔËÊä | ||
| C£® | ×ÔÓÉÀ©É¢¡¢ÐÖúÀ©É¢¡¢Ö÷¶¯ÔËÊä | D£® | ×ÔÓÉÀ©É¢¡¢Ö÷¶¯ÔËÊä¡¢×ÔÓÉÀ©É¢ |
| A£® | ÿƽ·½ÃײݵØÖÐÔӲݵÄÊýÁ¿ | |
| B£® | ijÉÁÖÿƽ·½Ç§Ã×·¶Î§ÄÚâ¦áûµÄÊýÁ¿ | |
| C£® | ijºþ²´Ò»ÄêÖÐöêÓãÐÂÔö¼ÓµÄ¸öÌåÊý | |
| D£® | һĶˮµ¾µÄÄê²úÁ¿ |
¢ÙѪºìµ°°× ¢ÚѪ½¬µ°°× ¢ÛÆÏÌÑÌÇ ¢ÜÄòËØ ¢ÝÉú³¤¼¤ËØ ¢ÞÄòÒº ¢ßϸ°ûÄÚÒº ¢àÀáÒº ¢á¿¹Ìå ¢âÓÐÑõºôÎüø£®
| A£® | ¢Ù¢Û¢Ü¢Ý¢Þ | B£® | ¢Ú¢Û¢Ü¢Ý¢á | C£® | ¢Ù¢Þ¢ß¢à¢á | D£® | ¢Ú¢Û¢Ü¢Ý¢â |
£¨1£©¼×ÐËȤС×éÏë̽¾¿µÄ¾ßÌåÎÊÌâÊÇ£º½Íĸ¾úÊÇ·ñÔÚÓÐÑõ¡¢ÎÞÑõÌõ¼þϾùÄܲúÉúCO2£®ÏÖÌṩÈô¸ÉÌ×£¨Ã¿Ì×¾ùÓÐÊý¸ö£©ÊµÑé×°Öã¬Èçͼ¢ñ£¨A-D£©Ëùʾ£º
¢ÙÇë¸ù¾ÝʵÑéÄ¿µÄÑ¡Ôñ×°ÖÃÐòºÅ£¬²¢°´ÕÕʵÑéµÄ×é×°ÒªÇóÅÅÐò£¨×°ÖÿÉÖØ¸´Ê¹Óã©£®ÓÐÑõÌõ¼þϵÄ×°ÖÃÐòºÅÒÀ´ÎÊÇ£ºC¡úA¡úB£»¢ÚBÆ¿ÖгÎÇåµÄʯ»ÒË®»¹¿ÉÓÃäå÷êÏã²Ý·ÓÀ¶Ë®ÈÜÒº´úÌæ£®
£¨2£©ÒÒÐËȤС×éÀûÓÃͼ¢òËùʾװÖã¨ÏðƤÈûÉϵÄÍä¹ÜΪ´øÓкìɫҺµÎµÄ¿Ì¶È²£Á§¹Ü£©£¬Ì½¾¿½Íĸ¾úµÄϸ°ûºôÎüÀàÐÍ£®
¢ÙÈç¹ûÏëµÃµ½ÊµÑé½áÂÛ£¬»¹±ØÐëͬʱÉèÖöÔÕÕʵÑ飬ÇëÎʶÔÕÕʵÑé×°Ö㨼ÙÉè¸Ã×°ÖñàºÅΪ¢ó£©ÈçºÎÉè¼Æ£¿
×°Öâó³ýÓõÈÁ¿ÇåË®´úÌæNaOHÈÜÒºÍ⣬ÆäËûÉè¼ÆÓë×°ÖâòÏàͬ
¢ÚÇëÔ¤²âÓë½áÂÛÏà·ûºÏµÄÏÖÏ󣬲¢Ìîд±í£º
| ÐòºÅ | ×°ÖÃÖкìɫҺµÎµÄÒÆ¶¯ÏÖÏó | ½áÂÛ | |
| ×°Öâò | ×°Öâó | ||
| 1 | aÏò×óÒÆ¶¯ | b²»Òƶ¯ | Ö»½øÐÐÓÐÑõºôÎü |
| 2 | c²»Òƶ¯ | d ÏòÓÒÒÆ¶¯ | Ö»½øÐÐÎÞÑõºôÎü |
| 3 | eÏò×óÒÆ¶¯ | fÏòÓÒÒÆ¶¯ | ¼È½øÐÐÓÐÑõºôÎü£¬ÓÖ½øÐÐÎÞÑõºôÎü |