ÌâÄ¿ÄÚÈÝ
4£®Ä³³èÎïÊǶþ±¶Ì岸È鶯ÎÆäëɫÓкÚÉ«¡¢»ÒÉ«¡¢×ØÉ«¡¢»¨°ßÉ«ËÄÖÖ£¬ÊÇÓɳ£È¾É«ÌåÉϵÄÒ»×éµÈλ»ùÒòA+¡¢AºÍa£¨A+¶ÔA¡¢aÏÔÐÔ£©¿ØÖÆ£¬ÅàÓý¹ý³ÌÖнøÐжà´ÎʵÑé½á¹ûÈçÏ£º| ×é±ð | ¸¸±¾ | ĸ±¾ | ʵÑé½á¹û£¨¡¡¡¡£© |
| Ò» | ºÚÉ« | »ÒÉ« | ºÚÉ«£º»ÒÉ«=1£º1»òºÚÉ«£º»¨°ßÉ«=1£º1»òÈ«ºÚÉ« |
| ¶þ | ºÚÉ« | רɫ | ºÚÉ«£º×ØÉ«=1£º1»òºÚÉ«£º»¨°ßÉ«=1£º1»òÈ«ºÚÉ« |
| Èý | »ÒÉ« | רɫ | »¨°ßÉ« |
| ËÄ | »¨°ßÉ« | »¨°ßÉ« | »ÒÉ«£º×ØÉ«£º»¨°ßÉ«=1£º1£º2 |
£¨2£©¸Ã³èÎïµÄëÐηÖֱëºÍ¾íëÁ½ÖÖ£¬ÓÉλÓÚXȾɫÌåÉϵĻùÒòB¡¢b¿ØÖÆ£¬ÇÒλÓÚX¡¢YȾɫÌå·ÇÍ¬Ô´Çø¶ÎÉÏ£®ÏÖÓÃÁ½Ö»ºÚÉ«¾íëµÄ´ÆÐÛÇ×±¾ÔÓ½»²úÉúµÄ×ÓÒ»´úÓÐ7Ö»£¬ÆäÖÐ1Ö»±íÏÖΪ»¨°ßɫֱ룬ÔòÐÛÐÔÇ×±¾µÄ»ùÒòÐÍÊÇA+AXBY»òA+aXBY£¬×ÓÒ»´úºÚÉ«¾íë´ÆÐÔ¸öÌåÖÐÔÓºÏ×ӵĸÅÂÊÊÇ$\frac{5}{6}$£®
£¨3£©¼ÙÈçÆÚÍû»ñµÃÒ»Ö»ºÚÉ«¾íëµÄÐÛÐÔ¸öÌ壬²»¹ÜÈøøöÌåÓëºÎÖÖÐÔ×´µÄ´ÆÐÔ¸öÌåÔÓ½»£¬²úÉúµÄºó´úÖкÚÉ«¾íë¸öÌ御¿ÉÄܶ࣬Ôò¸ÃÐÛÐÔ¸öÌåµÄ×î¼Ñ»ùÒòÐÍΪA+A+XBY£¬Í¨¹ýÄÄÖÖÔÓ½»×éºÏÄÜ¿ìËÙÈ·¶¨¸ÃÐÛÐÔ¸öÌåµÄ»ùÒòÐÍ£¿ÓøÃÐÛÐÔ¸öÌåÓë¶àÖ»×ØÉ«Ö±Ã«£¨»ò»Òɫֱ룩´ÆÐÔ¸öÌåÔÓ½»£¬Èôºó´ú´ÆÐÔÈ«²¿ÎªºÚÉ«¾í룬Ôò¸ÃÐÛÐÔ¸öÌåµÄ»ùÒòÐÍΪA+A+XBY£®
·ÖÎö ·ÖÎö±í¸ñ£º¸ù¾ÝµÚÒ»×éºÍµÚ¶þ×éʵÑé½á¹û¿ÉÖª£¬ºÚÉ«µÄ»ùÒòÐÍΪA+_£»¸ù¾ÝµÚÈý×éºÍµÚËÄ×éʵÑé½á¹û¿ÉÖª£¬»¨°ßÉ«µÄ»ùÒòÐÍΪAa£¬»ÒÉ«µÄ»ùÒòÐÍΪAA»òaa£¬×ØÉ«µÄ»ùÒòÐÍΪaa»òAA£®
½â´ð ½â£º£¨1£©ÓÉÒÔÉÏ·ÖÎö¿ÉÖª£¬ºÚÉ«µÄ»ùÒòÐÍΪA+_£¬¼´A+A+¡¢A+A¡¢A+a£®
£¨2£©Á½Ö»ºÚÉ«¾íëµÄ´ÆÐÛÇ×±¾ÔÓ½»£¬ºó´ú³öÏÖ»¨°ßÉ«£¨Aa£©Ö±Ã«£¬ËµÃ÷¾íë¶ÔֱëÊÇÏÔÐÔÐÔ×´£¬ÇÒ¿ØÖƸÃÐÔ×´µÄ»ùÒòλÓÚXȾɫÌåÉÏ£¬ÔòÇ×±¾µÄ»ùÒòÐÍΪA+AXBY¡ÁA+aXBXb»òA+aXBY¡ÁA+AXBXb£¬×ÓÒ»´úºÚÉ«¾íë´ÆÐÔ¸öÌ壨A+_XBX_£©µÄ¸ÅÂÊΪ$\frac{3}{4}$¡Á$\frac{1}{2}$=$\frac{3}{8}$£¬×ÓÒ»´úºÚÉ«¾íë´ÆÐÔ´¿ºÏ×Ó£¨A+A+XBXB£©µÄ¸ÅÂÊÊÇ$\frac{1}{4}¡Á\frac{1}{4}$=$\frac{1}{•16}$£¬Òò´Ë×ÓÒ»´úºÚÉ«¾íë´ÆÐÔ¸öÌåÖÐÔÓºÏ×ӵĸÅÂÊÊÇ£¨$\frac{3}{8}-\frac{1}{16}$£©¡Â$\frac{3}{8}$=$\frac{5}{6}$£®
£¨3£©¼ÙÈçÆÚÍû»ñµÃÒ»Ö»ºÚÉ«¾íëµÄÐÛÐÔ¸öÌ壬²»¹ÜÈøøöÌåÓëºÎÖÖÐÔ×´µÄ´ÆÐÔ¸öÌåÔÓ½»£¬²úÉúµÄºó´úÖкÚÉ«¾íë¸öÌ御¿ÉÄܶ࣬Ôò¸ÃÐÛÐÔ¸öÌåµÄ×î¼Ñ»ùÒòÐÍΪA+A+XBY£»ÒªÈ·¶¨Ä³Ò»¸ö¶¯Îï¸öÌåµÄ»ùÒòÐͿɲÉÓò⽻·¨£¬¼´ÓøÃÐÛÐÔ¸öÌåÓë¶àÖ»×ØÉ«Ö±Ã«£¨»ò»Òɫֱ룩´ÆÐÔ¸öÌåÔÓ½»£¬Èôºó´ú´ÆÐÔÈ«²¿ÎªºÚÉ«¾í룬Ôò¸ÃÐÛÐÔ¸öÌåµÄ»ùÒòÐÍΪA+A+XBY£®
¹Ê´ð°¸Îª£º
£¨1£©A+A+¡¢A+A¡¢A+a
£¨2£©A+AXBY»òA+aXBY $\frac{5}{6}$
£¨3£©A+A+XBY ÓøÃÐÛÐÔ¸öÌåÓë¶àÖ»×ØÉ«Ö±Ã«£¨»ò»Òɫֱ룩´ÆÐÔ¸öÌåÔÓ½»£¬Èôºó´ú´ÆÐÔÈ«²¿ÎªºÚÉ«¾í룬Ôò¸ÃÐÛÐÔ¸öÌåµÄ»ùÒòÐÍΪA+A+XBY
µãÆÀ ±¾Ìâ½áºÏ±í¸ñÊý¾Ý£¬¿¼²é°éÐÔÒÅ´«µÄÏà¹ØÖªÊ¶£¬ÒªÇó¿¼Éúʶ¼Ç»ùÒò·ÖÀ붨ÂɵÄʵÖÊ£¬Äܸù¾Ý±íÖÐʵÑéÅжϸ÷ÖÖ±íÏÖÐͶÔÓ¦µÄ»ùÒòÐÍ£»Ê¶¼Ç°éÐÔÒÅ´«µÄÀàÐͼ°Ìص㣬ÄܽáºÏËùѧµÄ֪ʶ׼ȷ´ðÌ⣮
| A£® | ×öԤʵÑéÄÜΪÕýʽʵÑéµÄʵʩÌṩÊÊÒ˵ÄŨ¶ÈÌÝ¶È | |
| B£® | ʵʩÕýʽʵÑéµÄ¹ý³ÌÖиö£¬ÐèÒªÉèÖÿհ׶ÔÕÕ×é | |
| C£® | ¿ÉÓýϵÍŨ¶ÈµÄÉú³¤ËØÀàËÆÎïÈÜÒº½þÅݲåÌõµÄ»ù²¿ | |
| D£® | ÓÃÓÚǤ²åµÄÖ¦ÌõÓ¦¸Ã´øÓÐÏàͬÊýÁ¿µÄÓ×Ñ¿ |
| A£® | ÔÚÊÔ¹ÜÖмÓÈë2mLµ°°×Ï¡ÊÍÒº£¬ÏȼÓ0.1g/mLµÄNaOHÈÜÒº1mL£¬ÔÙ¼Ó3¡«4µÎµÄ0.01g/mL CuSO4ÈÜÒº | |
| B£® | ÏȼÓ0.1g/mLµÄNaOHÈÜÒººÍ0.01g/mL CuSO4»ìºÏÒº1mL£¬ÔÙ¼ÓÈë2mLµ°°×Ï¡ÊÍÒº | |
| C£® | ÔÚÊÔ¹ÜÖмÓÈë2mLµ°°×Ï¡ÊÍÒº£¬¼ÓÈë0.1g/mLµÄNaOHÈÜÒººÍ0.01g/mL CuSO4»ìºÏÒº1mL | |
| D£® | ÔÚÊÔ¹ÜÖмÓÈë2mLµ°°×Ï¡ÊÍÒº£¬ÏȼÓ3¡«4µÎµÄ0.01g/mL CuSO4ÈÜÒº£¬ÔÙ¼Ó0.1g/mLµÄNaOHÈÜÒº1mL |
| A£® | Ë«×ÓÒ¶ÔӲݶÔ2£¬4-DµÄÃô¸ÐÐÔÏà¶Ô½ÏÇ¿ | |
| B£® | СÂó¶Ô2£¬4-DµÄÃô¸ÐÐÔÏà¶Ô½ÏÈõ | |
| C£® | ͬһŨ¶ÈµÄ2£¬4-D¶ÔСÂóºÍÔӲݵÄ×÷Óò»Í¬ | |
| D£® | 2£¬4-DÖ»¶ÔË«×ÓÒ¶ÔÓ²ÝÆð×÷Ó㬶ÔСÂóÎÞ×÷Óà |
| A£® | Èý±¶ÌåÎÞ×ÓÎ÷¹ÏµÄÎÞ×ÓÐÔ×´ÊDz»ÄÜÒÅ´«µÄ | |
| B£® | ÔÓ½»ÓýÖÖͨ¹ýÈ˹¤Ñ¡Ôñ¿É¶¨Ïò¸Ä±äÖÖȺµÄ»ùÒòƵÂÊ | |
| C£® | ȾɫÌåÖ®¼ä·¢ÉúµÄƬ¶Î½»»»ÊôÓÚȾɫÌå½á¹¹±äÒì | |
| D£® | ¸ß¾¥Íã¶¹ºó´ú³öÏָ߾¥ºÍ°«¾¥·¢ÉúÁË»ùÒòÖØ×é |
| A£® | Éñ¾µ÷½ÚµÄ»ù±¾·½Ê½ÊÇ·´Éä | |
| B£® | ·´Éä»î¶¯ÐèÒª¾¹ýÍêÕûµÄ·´É仡À´ÊµÏÖ£¬Èç¹û·´É仡ÖÐÈκλ·½ÚÔڽṹºÍ¹¦ÄÜÉÏÊÜË𣬷´Éä¾Í²»ÄÜÍê³É | |
| C£® | ÐË·ÜÊÇÖ¸¶¯ÎïÌå»òÈËÌåÄÚµÄijЩ×éÖ¯»òϸ°û¸ÐÊÜÍâ½ç´Ì¼¤ºó£¬ÓÉÏà¶Ô¾²Ö¹×´Ì¬±äΪÏÔÖø»îԾ״̬µÄ¹ý³Ì | |
| D£® | Êܵ½´Ì¼¤Ê±£¬Ï¸°ûĤ¶Ô¼ØÀë×ÓµÄͨ͸ÐÔÔö¼Ó£¬¼ØÀë×ÓÄÚÁ÷£¬Ä¤Á½²àµçλ±íÏÖΪÄÚÕýÍ⸺ |
| A£® | µ±ab=bc=cd=deʱ£¬Èô´Ì¼¤aµãʱ£¬µçÁ÷±íÖ¸ÕëÏÈÏò×óÔÙÏòÓÒ£¬Æ«×ª2´Î | |
| B£® | µ±ab=bc=cd=deʱ£¬Èô´Ì¼¤cµãʱ£¬µçÁ÷±íÖ¸Õ벻ƫת | |
| C£® | µ±ab¡Ùbc¡Ùcd¡Ùdeʱ£¬Èô´Ì¼¤cµãʱ£¬µçÁ÷±íÖ¸ÕëÆ«×ªÁ½´Î£¬cµãÀëÄÄÒ»µã½üÔòµçÁ÷±íÖ¸ÕëÏÈÏò¸Ã·½Ïòƫת | |
| D£® | ¿É¸ù¾Ý´Ì¼¤aµãʱָÕëÆ«×ªµÄÇé¿öÀ´ÅжÏÐË·ÜÔÚÉñ¾ÏËάÉϵĴ«µ¼Ìص㣨·½Ïò£© |
| A£® | ÕæºËÉúÎïµÄDNA¸´ÖÆËùÐèµÄÔÁÏÊÇËÄÖÖ¼î»ù | |
| B£® | ÕæºËÉúÎïDNA·Ö×Ó¸´Öƹý³ÌÐèÒª½âÐýøRNA¾ÛºÏøµÈø | |
| C£® | ͼÖÐDNA·Ö×Ó¸´ÖÆÊÇ´Ó¶à¸öÆðµãͬʱ¿ªÊ¼µÄ | |
| D£® | ͼÖÐDNA·Ö×Ó¸´ÖÆÊDZ߽âÐý±ßË«Ïò¸´ÖÆµÄ |