ÌâÄ¿ÄÚÈÝ
Çë»Ø´ðÓйذéÐÔÒÅ´«µÄÁ½¸öÎÊÌâ
¢ñ¡¢Ä³Ñо¿ÐÔѧϰС×éµÄͬѧ³¢ÊÔ¶ÔijµØÇøÈËÀàµÄÒÅ´«²¡½øÐе÷²é£®ÈçͼÊÇËûÃÇ»³öµÄ¹ØÓڼײ¡£¨A-a£©ºÍÒÒ²¡£¨B-b£©µÄÒÅ´«ÏµÆ×ͼ£¬ÒÑÖª¢ñ-2ûÓÐÒÒ²¡Ö²¡»ùÒò£¬Çë»Ø´ðÏÂÁÐÎÊÌ⣺

£¨1£©ÒÅ´«²¡»¼ÕßÊÇ·ñ¶¼º¬ÓÐÖ²¡»ùÒò£¿ £¨Ìî¡°ÊÇ¡±»ò¡°²»ÊÇ¡±£©£®´ÓϵÆ×ͼ·ÖÎö£¬¼×²¡ÊôÓÚ £¬ÒÒ²¡ÊôÓÚ £®£¨ÌîÏÂÃæµÄ·ûºÅ£©
A£®³£È¾É«ÌåÏÔÐÔÒÅ´«²¡
B£®³£È¾É«ÌåÒþÐÔÒÅ´«²¡
C£®°éXȾɫÌåÏÔÐÔÒÅ´«²¡
D£®°éXȾɫÌåÒþÐÔÒÅ´«²¡
E£®°éYȾɫÌåÒÅ´«²¡
£¨2£©¢ò-3µÄ»ùÒòÐÍΪ £®ÈôÏÖÐèÒª´ÓÉÏÊöϵÆ×ͼ¸öÌåÖÐÈ¡Ñù£¨ÑªÒº¡¢Æ¤·ôϸ°û¡¢Ã«·¢µÈ£©»ñµÃÒÒ²¡Ö²¡»ùÒò£¬¿Ï¶¨ÄÜÌṩÑù±¾µÄ¸öÌå³ý¢ò-7ºÍ¢ó-13Í⣬»¹ÓÐÄÄЩ £®
£¨3£©¼ÙÈç¢ó-10ºÍ¢ó-13½á»é£¬Æä×ÓÅ®Öв»»¼²¡µÄ¸ÅÂÊÊÇ £®
¢ò¡¢ÁíÒ»Ñо¿ÐÔС×é̽¾¿ÁË×ÊÁÏÖеÄÓÐȤµÄÒÅ´«Í»±äÏÖÏó£®ÒÑÖª½«¹ûÓ¬½øÐÐÓձ䴦Àíºó£¬ÆäXȾɫÌåÉϿɷ¢ÉúÒþÐÔÍ»±ä¡¢ÒþÐÔÖÂËÀÍ»±ä»ò²»·¢ÉúÍ»±äµÈÇé¿ö£®ÒÅ´«Ñ§¼ÒÏëÉè¼ÆÒ»¸öʵÑé¼ì²â³öÉÏÊöÈýÖÖÇé¿ö£®ÊµÑéʱ£¬½«¾Óձ䴦ÀíµÄºìÑÛÐÛ¹ûÓ¬ÓëÒ°ÉúÐÍ´¿ºÏºìÑ۴ƹûÓ¬½»Å䣨B±íʾºìÑÛ»ùÒò£©£¬µÃF1£¬Ê¹F1µ¥¶Ô½»Å䣬·Ö±ðËÇÑø£¬¹Û²ìF2µÄ·ÖÀëÇé¿ö£®Ô¤ÆÚ¿ÉÄܵĽá¹ûºÍ½áÂÛÊÇ£º
£¨4£© Ôò˵Ã÷·¢ÉúÁËÒþÐÔÍ»±ä£®
£¨5£© Ôò˵Ã÷²»·¢ÉúÍ»±ä£®
£¨6£© Ôò˵Ã÷·¢ÉúÁËÒþÐÔÖÂËÀÍ»±ä£®
¢ñ¡¢Ä³Ñо¿ÐÔѧϰС×éµÄͬѧ³¢ÊÔ¶ÔijµØÇøÈËÀàµÄÒÅ´«²¡½øÐе÷²é£®ÈçͼÊÇËûÃÇ»³öµÄ¹ØÓڼײ¡£¨A-a£©ºÍÒÒ²¡£¨B-b£©µÄÒÅ´«ÏµÆ×ͼ£¬ÒÑÖª¢ñ-2ûÓÐÒÒ²¡Ö²¡»ùÒò£¬Çë»Ø´ðÏÂÁÐÎÊÌ⣺
£¨1£©ÒÅ´«²¡»¼ÕßÊÇ·ñ¶¼º¬ÓÐÖ²¡»ùÒò£¿
A£®³£È¾É«ÌåÏÔÐÔÒÅ´«²¡
B£®³£È¾É«ÌåÒþÐÔÒÅ´«²¡
C£®°éXȾɫÌåÏÔÐÔÒÅ´«²¡
D£®°éXȾɫÌåÒþÐÔÒÅ´«²¡
E£®°éYȾɫÌåÒÅ´«²¡
£¨2£©¢ò-3µÄ»ùÒòÐÍΪ
£¨3£©¼ÙÈç¢ó-10ºÍ¢ó-13½á»é£¬Æä×ÓÅ®Öв»»¼²¡µÄ¸ÅÂÊÊÇ
¢ò¡¢ÁíÒ»Ñо¿ÐÔС×é̽¾¿ÁË×ÊÁÏÖеÄÓÐȤµÄÒÅ´«Í»±äÏÖÏó£®ÒÑÖª½«¹ûÓ¬½øÐÐÓձ䴦Àíºó£¬ÆäXȾɫÌåÉϿɷ¢ÉúÒþÐÔÍ»±ä¡¢ÒþÐÔÖÂËÀÍ»±ä»ò²»·¢ÉúÍ»±äµÈÇé¿ö£®ÒÅ´«Ñ§¼ÒÏëÉè¼ÆÒ»¸öʵÑé¼ì²â³öÉÏÊöÈýÖÖÇé¿ö£®ÊµÑéʱ£¬½«¾Óձ䴦ÀíµÄºìÑÛÐÛ¹ûÓ¬ÓëÒ°ÉúÐÍ´¿ºÏºìÑ۴ƹûÓ¬½»Å䣨B±íʾºìÑÛ»ùÒò£©£¬µÃF1£¬Ê¹F1µ¥¶Ô½»Å䣬·Ö±ðËÇÑø£¬¹Û²ìF2µÄ·ÖÀëÇé¿ö£®Ô¤ÆÚ¿ÉÄܵĽá¹ûºÍ½áÂÛÊÇ£º
£¨4£©
£¨5£©
£¨6£©
¿¼µã£º°éÐÔÒÅ´«ÔÚʵ¼ùÖеÄÓ¦ÓÃ,»ùÒòÍ»±äµÄÌØÕ÷
רÌ⣺
·ÖÎö£º·ÖÎöϵÆ×ͼ£º¢ò-3ºÍ¢ò-4¶¼»¼Óмײ¡£¬µ«ËûÃÇÓÐÒ»¸öÕý³£µÄÅ®¶ù£¬¼´¡°ÓÐÖÐÉúÎÞΪÏÔÐÔ£¬ÏÔÐÔ¿´Äв¡£¬Äв¡Å®Õý·Ç°éÐÔ¡±£¬ËµÃ÷¼×²¡Îª³£È¾É«ÌåÏÔÐÔÒÅ´«²¡£»¢ñ-1ºÍ¢ñ-2¶¼²»»¼ÒÒ²¡£¬µ«ËûÃÇÓÐÒ»¸ö»¼ÒÒ²¡µÄ¶ù×Ó£¬¼´¡°ÎÞÖÐÉúÓÐΪÒþÐÔ¡±£¬ËµÃ÷ÒÒ²¡ÎªÒþÐÔÒÅ´«²¡£¬ÓÖÒÑÖª¢ñ-2ûÓÐÒÒ²¡Ö²¡»ùÒò£¬ËµÃ÷ÒÒ²¡Îª°éXȾɫÌåÒþÐÔÒÅ´«²¡£®
½â´ð£º
½â£º£¨1£©ÒÅ´«²¡»¼Õß²»Ò»¶¨º¬ÓÐÖ²¡»ùÒò£¬ÈçȾɫÌåÒì³£ÒÅ´«²¡»¼ÕßµÄÌåÄÚ¿ÉÄܲ»º¬ÓÐÖ²¡»ùÒò£»ÓÉÒÔÉÏ·ÖÎö¿ÉÖª£¬¼×²¡ÊôÓÚ³£È¾É«ÌåÏÔÐÔÒÅ´«²¡£¬ÒÒ²¡ÊôÓÚ°éXȾɫÌåÒþÐÔÒÅ´«²¡£®
£¨2£©¸ù¾Ý¢ó-9¿ÉÖª¢ò-3µÄ»ùÒòÐÍΪAaXBY£®ÒÑÖªÒÒ²¡ÊôÓÚ°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬ÔòͼÖп϶¨º¬ÓÐÖ²¡»ùÒòµÄ¸öÌåÓТò-7¡¢¢ó-13¡¢¢ñ-1¡¢¢ò-8£®
£¨3£©¢ó-10µÄÁ½¶ÔÐÔ×´µÄ»ùÒòÐ͸ÅÂÊ·Ö±ðΪ
AA¡¢
Aa¡¢
XBXB¡¢
XBXb£¬¢ó-13µÄ»ùÒòÐÍΪaaXbY£¬ËûÃǽá»é£¬Æä×ÓÅ®Öв»»¼²¡µÄ¸ÅÂÊÊÇ£¨
¡Á
£©¡Á£¨1-
¡Á
£©=
£®
£¨4£©ÒÑÖª¶Ô¹ûÓ¬½øÐÐÏà¹Ø´¦Àíºó£¬ÆäXȾɫÌåÉϿɷ¢ÉúÒþÐÔÍ»±ä¡¢ÒþÐÔÖÂËÀÍ»±ä¡¢ÒþÐÔ²»ÍêÈ«ÖÂËÀÍ»±ä»ò²»·¢ÉúÍ»±äËÄÖÖÇé¿ö£®ÈôΪÒþÐÔÍ»±ä£¬ÔòF2ÖеĻùÒòÐÍÓÐXBXB¡¢XBX-¡¢XBY¡¢X-Y£¬¼´±íÏÖÐÍΪºìÑÛ£ºÍ»±äÑÛ=3£º1£¬ÇÒÐÛÐÔÖÐÓÐÒþÐÔÍ»±äÌ壻
£¨5£©Èô²»·¢ÉúÍ»±ä£¬ÔòF2ÖлùÒòÐÍÓÐXBXB¡¢XBXB¡¢XBY¡¢XBY£¬¼´±íÏÖÐÍΪºìÑÛ£¬ÇÒÐÛÐÔÖÐÎÞÒþÐÔÍ»±äÌ壮
£¨6£©ÈôΪÒþÐÔÖÂËÀÍ»±ä£¬F2ÖÐX-YËÀÍö£¬ÔòF2ÖдƣºÐÛ=2£º1£®
¹Ê´ð°¸Îª£º
£¨1£©²»ÊÇ ³£È¾É«ÌåÏÔÐÔÒÅ´«²¡ °éXȾɫÌåÒþÐÔÒÅ´«²¡
£¨2£©AaXBY¢ñ-1¡¢¢ò-8
£¨3£©
£¨4£©ÈôF2ºìÑÛ£ºÍ»±äÑÛ=3£º1
£¨5£©ÈôF2È«²¿ÎªºìÑÛ
£¨6£©ÈôF2ÖдƣºÐÛ=2£º1
£¨2£©¸ù¾Ý¢ó-9¿ÉÖª¢ò-3µÄ»ùÒòÐÍΪAaXBY£®ÒÑÖªÒÒ²¡ÊôÓÚ°éXȾɫÌåÒþÐÔÒÅ´«²¡£¬ÔòͼÖп϶¨º¬ÓÐÖ²¡»ùÒòµÄ¸öÌåÓТò-7¡¢¢ó-13¡¢¢ñ-1¡¢¢ò-8£®
£¨3£©¢ó-10µÄÁ½¶ÔÐÔ×´µÄ»ùÒòÐ͸ÅÂÊ·Ö±ðΪ
| 1 |
| 3 |
| 2 |
| 3 |
| 3 |
| 4 |
| 1 |
| 4 |
| 2 |
| 3 |
| 1 |
| 2 |
| 1 |
| 4 |
| 1 |
| 2 |
| 7 |
| 24 |
£¨4£©ÒÑÖª¶Ô¹ûÓ¬½øÐÐÏà¹Ø´¦Àíºó£¬ÆäXȾɫÌåÉϿɷ¢ÉúÒþÐÔÍ»±ä¡¢ÒþÐÔÖÂËÀÍ»±ä¡¢ÒþÐÔ²»ÍêÈ«ÖÂËÀÍ»±ä»ò²»·¢ÉúÍ»±äËÄÖÖÇé¿ö£®ÈôΪÒþÐÔÍ»±ä£¬ÔòF2ÖеĻùÒòÐÍÓÐXBXB¡¢XBX-¡¢XBY¡¢X-Y£¬¼´±íÏÖÐÍΪºìÑÛ£ºÍ»±äÑÛ=3£º1£¬ÇÒÐÛÐÔÖÐÓÐÒþÐÔÍ»±äÌ壻
£¨5£©Èô²»·¢ÉúÍ»±ä£¬ÔòF2ÖлùÒòÐÍÓÐXBXB¡¢XBXB¡¢XBY¡¢XBY£¬¼´±íÏÖÐÍΪºìÑÛ£¬ÇÒÐÛÐÔÖÐÎÞÒþÐÔÍ»±äÌ壮
£¨6£©ÈôΪÒþÐÔÖÂËÀÍ»±ä£¬F2ÖÐX-YËÀÍö£¬ÔòF2ÖдƣºÐÛ=2£º1£®
¹Ê´ð°¸Îª£º
£¨1£©²»ÊÇ ³£È¾É«ÌåÏÔÐÔÒÅ´«²¡ °éXȾɫÌåÒþÐÔÒÅ´«²¡
£¨2£©AaXBY¢ñ-1¡¢¢ò-8
£¨3£©
| 7 |
| 24 |
£¨4£©ÈôF2ºìÑÛ£ºÍ»±äÑÛ=3£º1
£¨5£©ÈôF2È«²¿ÎªºìÑÛ
£¨6£©ÈôF2ÖдƣºÐÛ=2£º1
µãÆÀ£º±¾Ìâ½áºÏϵÆ×ͼ£¬¿¼²éÈËÀàÒÅ´«²¡ºÍ°éÐÔÒÅ´«µÄÏà¹ØÖªÊ¶£¬ÒªÇó¿¼Éúʶ¼Ç¼¸ÖÖ³£¼ûÈËÀàÒÅ´«²¡µÄÌØµã£¬Äܸù¾ÝϵÆ×ͼ׼ȷÅжÏÁ½ÖÖÒÅ´«²¡µÄÒÅ´«·½Ê½¼°ÏàÓ¦¸öÌåµÄ»ùÒòÐÍ£¬ÔÙÔËÓÃÖð¶Ô·ÖÎö·¨½øÐÐÏà¹Ø¸ÅÂʵļÆË㣮
Á·Ï°²áϵÁдð°¸
Ïà¹ØÌâÄ¿
ÔÚ¼ø¶¨»¹ÔÐÔÐÔÌǺ͵°°×ÖʵÄʵÑéÖУ¬ÏÂÁÐÄÄÏî˵·¨ÕýÈ·£¨¡¡¡¡£©
| A¡¢ÔÚµ°°×Öʵļø¶¨ÖУ¬ÏȼÓÈëÁòËáÍ£¬ÔÙ¼ÓÈëÇâÑõ»¯ÄÆ |
| B¡¢¼ø¶¨»¹ÔÌÇʱ£¬ì³ÁÖÊÔ¼ÁµÄ¼×ÒººÍÒÒÒºÒª»ìÔȺó¼ÓÈë |
| C¡¢Á½¸öʵÑé¶¼ÐèÒª¼ÓÈÈ |
| D¡¢»¹ÔÌǵļø¶¨ÊµÑéÖУ¬×îºóÏÖÏóÊÇÈÜÒºÑÕÉ«±ä×ÏÉ« |
ijµØÇø¸ÕÊÕ»ñµÄСÂóÖÖ×ӵĺ¬Ë®Á¿Ô¼Îª60%£¬´Ëʱ»îϸ°ûÄÚµÄË®·ÖÊÇ£¨¡¡¡¡£©
| A¡¢È«²¿Îª×ÔÓÉË® |
| B¡¢È«²¿Îª½áºÏË® |
| C¡¢Ö÷ҪΪ×ÔÓÉË® |
| D¡¢Ö÷ҪΪ½áºÏË® |
ÏÂÁйý³ÌÖУ¬Ã»Óз¢ÉúÉúÎïĤÈںϵÄÊÇ£¨¡¡¡¡£©
| A¡¢Ö²ÎïÌåϸ°ûÔÓ½» |
| B¡¢ÔÓ½»Áöϸ°ûµÄ²úÉú |
| C¡¢Ð§Ó¦Bϸ°û²úÉú¿¹Ìå |
| D¡¢¶þÑõ»¯Ì¼½øÈëϸ°ûÖеÄÒ¶ÂÌÌå |