µ¥Ñ¡Ìâ µÚÒ»ÕÂ
1¡¢Ä³ÔÂÄÚ£¬XÉÌÆ·µÄÌæ´úÆ·µÄ¼Û¸ñÉÏÉýºÍ»¥²¹Æ·µÄ¼Û¸ñÉÏÉý£¬·Ö±ðÒýÆðXÉÌÆ·µÄÐèÇó±ä¶¯Á¿Îª50µ¥Î»ºÍ80µ¥Î»£¬ÔòÔÚËüÃǹ²Í¬×÷ÓÃϸÃÔÂXÉÌÆ·ÐèÇóÊýÁ¿£º £¨1£©Ôö¼Ó30µ¥Î»£»£¨2£©¼õÉÙ30µ¥Î»£» £¨3£©Ôö¼Ó130µ¥Î»£»£¨4£©¼õÉÙ130µ¥Î»£»
2¡¢¼Ù¶¨ÓñÃ×Êг¡µÄÐèÇóÊÇȱ·¦µ¯ÐԵģ¬ÓñÃ׵IJúÁ¿µÈÓÚÏúÊÛÁ¿ÇÒµÈÓÚÐèÇóÁ¿£¬¶ñÁӵįøºòÌõ¼þʹÓñÃײúÁ¿Ï½µ20%£¬ÔÚÕâÖÖÇé¿öÏ£º
£¨1£©ÓñÃ×Éú²úÕßµÄÊÕÈë¼õÉÙ£¬ÒòΪÓñÃײúÁ¿Ï½µ20%£» £¨2£©ÓñÃ×Éú²úÕßµÄÊÕÈëÔö¼Ó£¬ÒòΪÓñÃ×¼Û¸ñÉÏÉýµÍÓÚ20%£» £¨3£©ÓñÃ×Éú²úÕßµÄÊÕÈëÔö¼Ó£¬ÒòΪÓñÃ×¼Û¸ñÉÏÉý³¬¹ý20%£» 3¡¢Èç¹ûÉÌÆ·AºÍÉÌÆ·BÊÇÌæ´úÆ·,ÔòA¼Û¸ñϽµ½«Ôì³É: (1)AµÄÐèÇóÇúÏßÏòÓÒÒÆ¶¯; (2)AµÄÐèÇóÇúÏßÏò×óÒÆ¶¯;
(3)BµÄÐèÇóÇúÏßÏòÓÒÒÆ¶¯; (4)BµÄÐèÇóÇúÏßÏò×óÒÆ¶¯;
4£®Õþ¸®¶ÔÂôÕß³öÊÛµÄÉÌÆ·Ã¿µ¥Î»Õ÷˰£µÃÀÔª£¬¼Ù¶¨ÕâÖÖÉÌÆ·µÄÐèÇó¼Û¸ñµ¯ÐÔΪÁ㣬¿ÉÒÔÔ¤Áϼ۸ñÉÏÉý
£Á£®Ð¡ÓÚ£µÃÀÔª£» £Â£®µÈÓÚ£µÃÀÔª£» £Ã£®´óÓÚ£µÃÀÔª£» £Ä£®²»¿ÉÈ·¶¨
5£®Èç¹û¼Û¸ñϽµ£±£°£¥ÄÜʹÂòÕß×ÜÖ§³öÔö¼Ó£±£¥£¬Ôò¸ÃÖÖÉÌÆ·µÄÐèÇóÁ¿¶Ô¼Û¸ñ £Á£®¸»Óе¯ÐÔ £Â£®µ¥Ò»µ¯ÐÔ £Ã£®È±·¦µ¯ÐÔ
£Ä£®µ¯ÐÔ²»ÄÜÈ·¶¨
6£®Á½ÖÖÉÌÆ·ÖÐÈôÆäÖÐÒ»Öֵļ۸ñ±ä»¯Ê±£¬ÕâÁ½ÖÖÉÌÆ·µÄ¹ºÂòÁ¿Í¬Ê±Ôö¼Ó»ò¼õÉÙ£¬Ôò¶þÕߵĽ»²æµ¯ÐÔϵÊýΪ £Á£®¸º£» £Â£®Õý£» £Ã£®£°£» £Ä£®£±
7£®Ð¡ÂóǸÊÕµ¼ÖÂСÂó¼Û¸ñÉÏÉý£¬×¼È·µÄ˵ÔÚÕâ¸ö¹ý³ÌÖÐ £Á£®Ð¡Â󹩸øÁ¿µÄ¼õÉÙÒýÆðÐèÇóϽµ£» £Â£®Ð¡Â󹩸øµÄ¼õÉÙÒýÆðÐèÇóϽµ£» £Ã£®Ð¡Â󹩸øÁ¿µÄ¼õÉÙÒýÆðÐèÇóÁ¿Ï½µ£» £Ä£®Ð¡Â󹩸øµÄ¼õÉÙÒýÆðÐèÇóÁ¿Ï½µ£» 8.¾ùºâ¼Û¸ñËæ×Å
A.ÐèÇóºÍ¹©¸øµÄÔö¼Ó¶øÉÏÉý; B.ÐèÇóºÍ¹©¸øµÄ¼õÉÙ¶øÉÏÉý;
C.ÐèÇóµÄ¼õÉٺ͹©¸øµÄÔö¼Ó¶øÉÏÉý; D.ÐèÇóµÄÔö¼ÓºÍ¹©¸øµÄ¼õÉÙÉÏÉý;
9¡¢ÐèÇóÁ¿ºÍ¼Û¸ñÖ®ËùÒԳʷ´·½Ïò±ä»¯£¬ÊÇÒòΪ£¨£©¡£
A¡¢Ìæ´úЧӦµÄ×÷Óã» B¡¢ÊÕÈëЧӦµÄ×÷Óã»
C¡¢ÉÏÊöÁ½ÖÖЧÓÃͬʱ·¢Éú×÷Óã» D¡¢ÒÔÉϾù²»ÕýÈ·£»
10¡¢¼ÙÉèĦÍгµÊг¡ÉÏ´¦ÓÚ¾ùºâ£¬´ËʱĦÍгµÍ·¿ø¼Û¸ñÉÏÉý£¬ÔÚеľùºâÖУ¬£¨ £©¡£ £Á£®¾ùºâ¼Û¸ñÉÏÉý£¬¾ùºâÊýÁ¿Ï½µ£» £Â£®¾ùºâ¼Û¸ñÉÏÉý£¬¾ùºâÊýÁ¿ÉÏÉý£» £Ã£®¾ùºâ¼Û¸ñϽµ£¬¾ùºâÊýÁ¿Ï½µ£» £Ä£®¾ùºâ¼Û¸ñϽµ£¬¾ùºâÊýÁ¿ÉÏÉý£»
µÚ¶þÕÂ
1¡¢Ð¡Íõ°ÑËûÈ«²¿ÊÕÈ뻨ÔÚÏã½¶ºÍÎ÷¹ÏÉÏ£¬ËûÄܹ»Ïû·Ñ11Ö»Ïã½¶ºÍ4Ö»Î÷¹Ï£¬Ò²Äܹ»Ïû·Ñ3Ö»Ïã½¶ºÍ8Ö»Î÷¹Ï¡£Ï㽶ÿֻ6Ôª¡£ÇëÎÊСÍõµÄÊÕÈëÊǶàÉÙ£¿ A.115Ôª B.105Ôª C.114Ôª D.119Ôª
E.ÒÔÉ϶¼²»ÊÇ
2¡¢Ð¡ÀîÔç·¹°®³Ô°ü×ÓºÍÅ£ÄÌ¡£°ü×Ó1Ôª/¸ö£¬Å£ÄÌ2Ôª/±¡£ËûÿÌ컨ÔÚÔç·¹ÉϵÄÇ®²»³¬¹ý11Ôª¡£Ëû»¹Ñϸñ¿ØÖÆÏû·ÑÈÈÁ¿²»³¬¹ý6500¿¨Â·Àÿ¸ö°ü×Óº¬1500¿¨Â·Àÿ±Å£Ä̺¬500¿¨Â·Àï¡£ÈçËû°ÑǮȫ¶¼»¨Í꣬²¢ÇÒÏû·ÑÁ¿²»³¬¹ýÈÈÁ¿Ï޶ÄÇôËûÄÜÏû·Ñ A.²»¶àÓÚ3¸ö°ü×Ó B.²»¶àÓÚ2¸ö°ü×Ó C.²»¶àÓÚ4±Å£ÄÌ D.²»¶àÓÚ4¸ö°ü×Ó E.ÒÔÉ϶¼²»¶Ô
3¡¢Ä³Ïû·ÑÕßÓÃËûËùÓеÄÊÕÈëÏû·ÑÁË5µ¥Î»ÉÌÆ·xºÍ13µ¥Î»ÉÌÆ·y¡£ÉÌÆ·xµÄ¼Û¸ñΪÉÌÆ·yµÄ2±¶¡£ÏÖ¼ÙÉèÊÕÈë±äΪÔÀ´µÄ2±¶£¬ÇÒÉÌÆ·yµÄ¼Û¸ñÒ²±äΪÔÀ´µÄ2±¶£¬µ«ÊÇÉÌÆ·xµÄ¼Û¸ñ±£³Ö²»±ä¡£Èç¹ûËû¼ÌÐøÏû·Ñ13µ¥Î»ÉÌÆ·y£¬ÄÇôËû×î¶àÄܹ»¹ºÂò¶àÉÙµ¥Î»µÄÉÌÆ·x? A.10 B.5 C.12 D.14
E.ûÓÐ×ã¹»µÄÐÅÏ¢À´Åжϡ£
4¡¢µÚÒ»Ä꣬ÉÌÆ·xµÄ¼Û¸ñÊÇ3£¬ÉÌÆ·yµÄ¼Û¸ñÊÇ2£¬ÊÕÈëÊÇ90.µÚ¶þÄ꣬xÉÌÆ·µÄ¼Û¸ñÊÇ9£¬ÉÌÆ·yµÄ¼Û¸ñÊÇ6£¬ÊÕÈëÊÇ90¡£ÔÚºáÖá´ú±íÉÌÆ·x×ÝÖá´ú±íÉÌÆ·yµÄ×ø±êϵÖУ¬ÐµÄÔ¤ËãÏß
A.±ÈÔÀ´µÄ¸ü¼Óƽ̹£¬ÇÒÔÚËüÏÂÃæ¡£ B.±ÈÔÀ´µÄ¸ü¼Óƽ̹£¬ÇÒÔÚËüÉÏÃæ¡£ C.±ÈÔÀ´µÄ¸ü¼Ó¶¸ÇÍ£¬ÇÒÔÚËüÏÂÃæ¡£ D.±ÈÔÀ´µÄ¸ü¼Ó¶¸ÇÍ£¬ÇÒÔÚËüÉÏÃæ¡£ E.ÒÔÉ϶¼²»¶Ô¡£ 5¡¢Ëïij°ÑËùÓÐÊÕÈ뻨ÔÚ8Æ¿¹û½´ºÍ8Æ¿»¨Éú½´ÉÏ£¬¹û½´Ã¿Æ¿9ÃÀÔª£¬ËûµÄÊÕÈëÊÇ88ÃÀÔª¡£ÏÖËû°ÑËùÓÐÊÕÈëÀ´¹ºÂòaÆ¿¹û½´ºÍbÆ¿»¨Éú½´£¬ÔòËûµÄÔ¤ËãÔ¼Êø·½³ÌΪ
A.9a+4b=88 B.18a+4b=176 C.11a+2b=88 D.9a+6b=90 E.ÒÔÉ϶¼²»¶Ô¡£
6¡¢¼Ù¶¨ÉÌÆ·xºÍÉÌÆ·yµÄ¼Û¸ñÊÇÔÀ´µÄÁ½±¶£¬¶øÊÕÈë±ä³ÉÔÀ´µÄÈý±¶£¬ÔÚºáÖá±íʾÉÌÆ·x£¬×ÝÖá±íʾÉÌÆ·yµÄ×ø±êϵÉÏ£º
A.ÐÂÔ¤ËãÏß±äµÃ¸ü¼Ó¶¸ÇÍ£¬²¢ÏòÄÚÒÆ£» B.ÐÂÔ¤ËãÏß±äµÃ¸ü¼Óƽ̹£¬²¢ÏòÍâÒÆ£» C.ÐÂÔ¤ËãÏß±äµÃ¸ü¼Óƽ̹£¬²¢ÏòÄÚÒÆ£»
D.ÐÂÔ¤ËãÏßÓëÔÔ¤ËãÏ߯½ÐУ¬²¢ÇÒÔÚÔÔ¤ËãÏßµÄÏ·½£» E.ÒÔÉ϶¼²»¶Ô¡£
7¡¢¼Ù¶¨ÉÌÆ·xµÄ¼Û¸ñÊÇÔÀ´µÄÈý±¶£¬ÉÌÆ·yµÄ¼Û¸ñÊÇÔÀ´µÄÁ½±¶£¬¶øÊÕÈë±£³Ö²»±ä¡£ÔÚºáÖá±íʾÉÌÆ·x£¬×ÝÖá±íʾÉÌÆ·yµÄ×ø±êϵÉÏ£»
A.ÐÂÔ¤ËãÏß±ÈÔÀ´Ô¤ËãÏ߯½Ì¹£¬ÔÚÔÔ¤ËãÏßÏ·½£» B.ÐÂÔ¤ËãÏß±ÈÔÀ´Æ½Ì¹£¬ÔÚÔÔ¤ËãÏßÏ·½£» C.´©¹ýÔÀ´µÄÔ¤ËãÏߣ»
D.ÐÂÔ¤ËãÏß±ÈÔÀ´¶¸ÇÍ£¬ÔÚÔÔ¤ËãÏßÏ·½£»
µÚÈýÕÂ
1¡¢Ð¡ÕÅÏû·ÑÉÌÆ·xºÍy£¬ËûµÄÎÞ²îÒìÇúÏß¿ÉÒÔÓ÷½³Ìy=k/(x+7)À´ÃèÊö£¬¸ü´óµÄkÖµ±íʾ¸üÆ«ºÃµÄÎÞ²îÒìÇúÏß¡£ÏÂÁÐÄÄÏîÊÇÕýÈ·µÄ£¿ A.СÕÅϲ»¶ÉÌÆ·y£¬ÌÖÑáÉÌÆ·x¡£ B.СÕÅÆ«ºÃ£¨12,16£©ÓÚ£¨16,12£© C.СÕÅÆ«ºÃ£¨8,5£©ÓÚ£¨5,8£© D.СÕÅϲ»¶ÉÌÆ·x£¬ÌÖÑáÉÌÆ·y. E.ÒÔÉÏ˵·¨ÓÐÁ½¸öÒÔÉÏÊÇÕýÈ·µÄ¡£
2¡¢Ð¡ÀîµÄÎÞ²îÒìÇúÏßÊÇÔ²Ðε쬲¢ÇÒËùÓÐÎÞ²îÒìÇúÏßµÄÔ²ÐͼÊÇ£¨12,12£©¡£ÔÚËùÓÐÎÞ²îÒìÇúÏßÖУ¬Ëû¸üÆ«ºÃÓÚÀïÃæµÄÄÇЩÏû·ÑÊø¡£Ôò A.СÀîµÄÆ«ºÃÊDz»Í걸µÄ
B.СÀîÆ«ºÃ£¨16,17ÓÚ£¨10,10£© C.СÀîÆ«ºÃ£¨10,17£©ÓÚ£¨10,10£© D.СÀîÆ«ºÃ£¨8,8£©ÓÚ£¨17,21£© E.ÒÔÉÏ˵·¨ÓÐÁ½¸öÒÔÉÏÊÇÕýÈ·µÄ¡£
3¡¢Èç¹ûÁ½ÀàÉÌÆ·µÄÏû·Ñ¶¼ÊÇÔ½¶àÔ½ºÃ£¬²¢ÇÒÆ«ºÃÊÇÁ¼ÐԵģ¬Ôò A.ÎÞ²îÒìÇúÏßÉÏ´æÔÚçöµã B.ÎÞ²îÒìÇúÏß±ØÐëÊÇÌõÖ±Ïß
C.¶ÔÓÚÁ½¸ö²»Í¬µ«ÎÞ²îÒìµÄÏû·ÑÊø£¬ÔòËûÃÇµÄÆ½¾ùÏû·ÑÊø±ÈËüÃǸüÔã D.ÑØ×ÅÎÞ²îÒìÇúÏߵı߼ÊÌæ´úÂʱ£³Ö³£Êý²»±ä E.ÒÔÉ϶¼²»¶Ô
4¡¢Ä³Ïû·ÑÕßÏû·ÑÁ½ÖÖÉÌÆ·£¬ÉÌÆ·1ÊÇÔ½ÉÙÔ½ºÃ£¬ÉÌÆ·2ÊÇÔ½¶àÔ½ºÃ£¬ÔòÎÞ²îÒìÇúÏß A.ÏòÏÂÇãб B.ÏòÉÏÇãб
C.¿ÉÄÜ»áÏཻ D.ÀàËÆÓÚÍÖÔ²ÐÎ E.ÒÔÉ϶¼²»¶Ô
5¡¢µ±×ÜЧÓÃÔö¼Óʱ£¬±ß¼ÊЧÓÃÓ¦¸Ã£º £¨1£©ÎªÕýÖµ£¬ÇÒ²»¶ÏÔö¼Ó£» £¨2£©ÎªÕýÖµ£¬µ«²»¶Ï¼õÉÙ£» £¨3£©Îª¸ºÖµ£¬ÇÒ²»¶Ï¼õÉÙ£»
6¡¢µ±Ä³Ïû·ÑÕß¶ÔÉÌÆ·xµÄÏû·Ñ´ïµ½±¥ºÍµãʱ£¬Ôò±ß¼ÊЧÓÃMUxΪ£º £¨1£©ÕýÖµ£» £¨2£©¸ºÖµ£» £¨3£©Á㣻
£¨4£©²»È·¶¨£¬ÐèÊÓ¾ßÌåÇé¿ö¶ø¶¨£»
µÚËÄÕÂ
1¡¢Ð¡Äɵį«ºÃ¿ÉÒÔÓÃÒÔϺ¯Êý±íʾ£ºu?(x,y)??ÇëÎÊÏÂÊöÄĸö˵·¨ÕýÈ·£¿
A.СÄɵÄÎÞ²îÒìÇúÏßΪ¾ØÐÎË«ÇúÏß B.СÄɶÔÁ½ÖÖÉÌÆ·Æ«ºÃÔ½¶àÔ½ºÃ C.СÄɾßÓÐÄâÏßÐÔÆ«ºÃ D.СÄÉÓµÓÐ×î¼ÑÏû·Ñµã
E.µ±y?0ʱСÄɵÄÎÞ²îÒìÇúÏßÊÇÏòÉÏÇãбµÄÖ±Ïß¡£
2¡¢Ä³Ïû·ÑÕßµÄЧÓú¯ÊýΪu?x,y??y?4x£¬ËûÏÖÓÐ25µ¥Î»ÉÌÆ·xºÍ12µ¥Î»ÉÌÆ·y¡£Èç¹ûËû¶ÔÉÌÆ·xµÄÏû·Ñ¼õÉÙµ½0£¬ÔòÐèÒªÏû·Ñ¶àÉÙµ¥Î»µÄÉÌÆ·y²ÅÄÜʹËûµÄ×´¿öºÍÔÀ´Ò»ÑùºÃ£¿ A.48 B.37 C.32 D.112
E.ÒÔÉ϶¼²»¶Ô
3¡¢¼Ù¶¨X¡¢YµÄ¼Û¸ñPx¡¢PyÒѶ¨£¬µ±MRSxy©ƒPx/Pyʱ£¬Ïû·ÑÕßΪ´ïµ½×î´óÂú×㣬Ëû½«£¨£©¡££¨1£©Ôö¹ºX£¬¼õÉÙY£» £¨2£©¼õÉÙX£¬Ôö¹ºY £¨3£©Í¬Ê±Ôö¹ºX¡¢Y£» £¨4£©Í¬Ê±¼õÉÙX¡¢Y¡£
4¡¢ÐèÇóÇúÏßбÂÊΪÕýµÄ³äÒªÌõ¼þÊÇ£¨£© £¨1£©µÍµµÉÌÆ·£»
£¨2£©Ìæ´úЧӦ³¬¹ýÊÕÈëЧӦ£» £¨3£©ÊÕÈëЧӦ³¬¹ýÌæ´úЧӦ£»
£¨4£©µÍµµÉÌÆ·ÇÒÊÕÈëЧӦ³¬¹ýÌæ´úЧӦ£» 5¡¢ ¼ª·ÒÎïÆ·µÄ¼Û¸ñÉÏÉýʱ£¬Ó¦¸ÃÓУº
?x/y?0y?0 y?0