ÄÚÈÝ·¢²¼¸üÐÂʱ¼ä : 2026/6/13 10:56:38ÐÇÆÚÒ» ÏÂÃæÊÇÎÄÕµÄÈ«²¿ÄÚÈÝÇëÈÏÕæÔĶÁ¡£
È˽̰æÖÐСѧ¾«Æ·½Ìѧ×ÊÁÏ
Ìî ¿Õ
1¡¢Ò»¸öÊý,ËüµÄÒÚλÉÏÊÇ9,°ÙÍòλÉÏÊÇ7,Ê®ÍòλÉϺÍǧλÉ϶¼ÊÇ5,ÆäÓà¸÷λ¶¼ÊÇ0,Õâ¸öÊý
д×÷£¨ £©,¶Á×÷£¨ £©,¸Äд³ÉÒÔÍò×÷µ¥Î»µÄÊý£¨ £©,Ê¡ÂÔÍòºóÃæµÄβÊýÊÇ£¨ £©Íò¡£
2¡¢°Ñ4.87µÄСÊýµãÏò×óÒÆ¶¯Èýλ,ÔÙÏòÓÒÒÆ¶¯Á½Î»ºó,Õâ¸öÊýÊÇ£¨ £©¡£
3¡¢9.5607ÊÇ£¨ £©Î»Ð¡Êý,±£ÁôһλСÊýÔ¼ÊÇ£¨ £©,±£ÁôÁ½Î»Ð¡ÊýÔ¼ÊÇ£¨ £©¡£ 4¡¢×îÐ¡ÆæÊýÊÇ£¨ £©,×îÐ¡ËØÊý£¨ £©,×îСºÏÊý£¨ £©,¼ÈÊÇËØÊýÓÖÊÇżÊýµÄÊÇ
£¨ £©,20ÒÔÄÚ×î´óµÄËØÊýÊÇ£¨ £©¡£ 5¡¢°Ñ36·Ö½âÖÊÒòÊýÊÇ£¨ £©¡£ 6¡¢ÒòΪa=2¡Á3¡Á7,b=2¡Á3¡Á3¡Á5,ÄÇôaºÍbµÄ×î´ó¹«Ô¼ÊýÊÇ£¨ £©,×îС¹«±¶ÊýÊÇ£¨ £©¡£ xx
7¡¢Èç¹û ÊǼٷÖÊý, ÊÇÕæ·ÖÊýʱ,x=£¨ £©¡£
67
8¡¢¼×ÊýÀ©´ó10±¶µÈÓÚÒÒÊý,¼×¡¢ÒҵĺÍÊÇ22,Ôò¼×ÊýÊÇ£¨ £©¡£
9¡¢Èý¸öÁ¬ÐøÅ¼ÊýµÄºÍÊÇ72,ÕâÈý¸öżÊýÊÇ£¨ £©¡¢£¨ £©¡¢£¨ £©¡£ 10¡¢xºÍy¶¼ÊÇ×ÔÈ»Êý,x¡Ây=3£¨y¡Ù0£©,xºÍyµÄ×î´ó¹«Ô¼ÊýÊÇ£¨ £©,×îС¹«±¶ÊýÊÇ£¨ £©¡£ 11¡¢Ò»¸öÊý,ǧλÉÏÊÇ×îСµÄÖÊÊý,°ÙλÉÏÊÇ×îСµÄ×ÔÈ»Êý,¸öλÉÏÊÇ×îСµÄºÏÊý,°Ù·ÖλÉÏÊÇ
×î´óµÄÊý×Ö,ÆäÓàÊýλÉϵÄÊý×ÖÊÇ0,Õâ¸öÊýд×÷£¨ £©,¶Á×÷£¨ £©¡£ 12¡¢Èý¸öÁ¬ÐøÆæÊýµÄºÍÊÇ129,ÆäÖÐ×î´óµÄÄǸöÆæÊýÊÇ£¨ £©,½«Ëü·Ö½âÖÊÒòÊýΪ£¨ £©¡£ 13¡¢Á½¸öÊýµÄ×î´ó¹«Ô¼ÊýÊÇ1,×îС¹«±¶ÊýÊÇ323,ÕâÁ½¸öÊýÊÇ£¨ £©ºÍ£¨ £©,»ò£¨ £©ºÍ£¨ £©¡£ 14¡¢ÓÃ3¡¢4»ò7È¥³ý¶¼Óà2µÄÊýÖÐ,ÆäÖÐ×îСµÄÊÇ£¨ £©¡£
1
15¡¢·ÖÊýµÄµ¥Î»ÊÇ µÄ×î´óÕæ·ÖÊýÊÇ£¨ £©,ËüÖÁÉÙÔÙÌíÉÏ£¨ £©¸öÕâÑùµÄ·ÖÊýµ¥Î»¾Í³ÉÁ˼ٷÖÊý¡£
816¡¢0.045ÀïÃæÓÐ45¸ö( )¡£
17¡¢°ÑÒ»¸ù5Ã׳¤µÄÌú˿ƽ¾ù·Ö³É8¶Î,ÿ¶ÎµÄ³¤¶ÈÊÇÕâ¸ùÌúË¿µÄ£¨ £©,ÿ¶Î³¤£¨ £©¡£ 1
18¡¢·ÖÊýµ¥Î»ÊÇ µÄ×î´óÕæ·ÖÊýºÍ×îС¼Ù·ÖÊýµÄºÍÊÇ£¨ £©¡£
1119¡¢aÓëbÊÇ»¥ÖÊÊý,ËüÃǵÄ×î´ó¹«Ô¼ÊýÊÇ£¨ £©,[a¡¢b]=£¨ £©¡£ 20¡¢Ð¡ºìÓÐa֦Ǧ±Ê,ÿ֦Ǧ±Ê0.2Ôª,ÄÇôa֦Ǧ±Ê¹²»¨£¨ £©Ôª¡£
32
21¡¢¼×²Ö´æÁ¸µÄ ºÍÒÒ²Ö´æÁ¸µÄ ÏàµÈ,¼×²Ö£ºÒÒ²Ö=£¨ £©£º£¨ £©¡£ÒÑÖªÁ½²Ö¹²´æÁ¸
43360¶Ö,¼×²Ö´æÁ¸£¨ £©¶Ö,ÒÒ²Ö´æÁ¸£¨ £©¶Ö¡£
22¡¢Èç¹û7x=8y,ÄÇôx£ºy=£¨ £©£º£¨ £©¡£
23¡¢´óÔ²µÄ°ë¾¶ÊÇ8ÀåÃ×,СԲµÄÖ±¾¶ÊÇ6ÀåÃ×,Ôò´óÔ²ÓëСԲµÄÖܳ¤±ÈÊÇ£¨ £©,СԲÓë´ó
Ô²µÄÃæ»ý±ÈÊÇ£¨ £©¡£
24¡¢°Ñ5¿ËÑηÅÈë50¿ËË®ÖÐ,ÑκÍÑÎË®µÄ±ÈÊÇ£¨ £©¡£
25¡¢¼×¡¢ÒÒ¶þÈ˸÷ÓÐÈô¸ÉÔª,Èô¼×ÄóöËûËùÓÐÇ®µÄ20%¸øÒÒ,ÔòÁ½ÈËËùÓеÄÇ®ÕýºÃÏàµÈ,ÔÀ´
¼×¡¢ÒÒ¶þÈËËùÓÐÇ®µÄ×î¼òÕûÊý±ÈÊÇ£¨ £©¡£
26¡¢Èç¹ûx¡Â30=0.3,ÄÇô2x+1=£¨ £©£»ÓÐÈý¸öÁ¬ÐøÅ¼Êý,ÖмäµÄÒ»¸öÊÇm,ÄÇô×îСµÄż
ÊýÊÇ£¨ £©¡£ 27¡¢²ÉÓÃ24ʱ¼Çʱ·¨,ÏÂÎç3ʱ¾ÍÊÇ£¨ £©Ê±,Ò¹Àï11ʱ¾ÍÊÇ£¨ £©Ê±,Ò¹Àï12ʱÊÇ£¨ £©
ʱ,Ò²¾ÍÊǵڶþÌìµÄ£¨ £©Ê±¡£
28¡¢Ä³É̵êÿÌì9£º00-18£º00ÓªÒµ,È«ÌìÓªÒµ£¨ £©Ð¡Ê±¡£
29¡¢15Ã×40ÀåÃ×=£¨ £©Ã×=£¨ £©ÀåÃ× 6400ºÁÉý=£¨ £©Éý=£¨ £©Á¢·½·ÖÃ× 5.4ƽ·½Ç§Ã×=£¨ £©¹«Çê=£¨ £©Æ½·½Ã× 3Сʱ45·Ö=£¨ £©Ð¡Ê± 3
8 Á¢·½Ã×=£¨ £©Á¢·½·ÖÃ× 1Á¢·½Ã×50Á¢·½·ÖÃ×=£¨ £©Á¢·½Ã×
4
3¶Ö500ǧ¿Ë=£¨ £©Ç§¿Ë 1.5Éý=£¨ £©ºÁÉý=£¨ £©Á¢·½ÀåÃ× 3.25ǧÃ×=£¨ £©Ç§Ã×£¨ £©Ã× 0.65Ã×=£¨ £©·ÖÃ×£¨ £©ÀåÃ×
30¡¢Ò»¸öÔ²ÖùµÄÌå»ýÊÇ60Á¢·½ÀåÃ×,ÓëËüµÈµ×µÈ¸ßµÄÔ²×¶ÌåµÄÌå»ýÊÇ£¨ £©Á¢·½ÀåÃס£ 31¡¢Ò»¸ö³¤·½ÌåµÄ³¤ÊÇ8ÀåÃ×,¸ßÊÇ5ÀåÃ×,ËüµÄµ×Ãæ»ýÊÇ48ƽ·½ÀåÃ×,ÄÇôÕâ¸ö³¤·½ÌåµÄÌå
»ýÊÇ£¨ £©¡£
32¡¢ÓÃÔ²¹æ»Ò»¸öÖܳ¤ÊÇ9.42ÀåÃ×µÄÔ²,Ô²¹æÁ½½Å¼äµÄ¾àÀëÊÇ£¨ £©ÀåÃ×,Õâ¸öÔ²µÄÃæ»ýÊÇ
£¨ £©Æ½·½ÀåÃס£
33¡¢Ò»¸öÔ²µÄ°ë¾¶À©´ó3±¶,Öܳ¤¾ÍÀ©´ó£¨ £©,Ãæ»ý£¨ £©¡£ 34¡¢µ±³¤·½ÐΡ¢Õý·½ÐΡ¢Ô²µÄÖܳ¤ÏàµÈʱ,£¨ £©µÄÃæ»ý½Ï´ó¡£
35¡¢°ÑÁ½¸öÀⳤ¶¼ÊÇ3ÀåÃ×µÄÕý·½Ìå,Æ´³ÉÒ»¸ö³¤·½Ìå,Õâ¸ö³¤·½ÌåµÄ±íÃæ»ýÊÇ£¨ £©,Ìå
»ýÊÇ£¨ £©¡£
36¡¢Ô²ÖùµÄ²àÃæÕ¹¿ª,µÃµ½Ò»¸ö£¨ £©ÐÎ,ËüµÄ³¤µÈÓÚÔ²ÖùµÄ£¨ £©,¿íµÈÓÚÔ²ÖùµÄ£¨ £©¡£ 37¡¢Ò»¸öÔ²ÖùµÄµ×Ãæ°ë¾¶ÊÇ2ÀåÃ×,¸ßÊÇ12ÀåÃ×,Õâ¸öÔ²ÖùµÄ²àÃæ»ýÊÇ£¨ £©Æ½·½ÀåÃ×,Ìå
»ýÊÇ£¨ £©Á¢·½ÀåÃס£
38¡¢Ò»¸ùÔ²ÖùÐθֲÄÌå»ýÊÇ882Á¢·½·ÖÃ×,µ×Ãæ»ýÊÇ42ƽ·½·ÖÃ×,ËüµÄ¸ßÊÇ£¨ £©Ãס£ 39¡¢°ÑÒ»¸ù³¤3Ã×,µ×Ãæ°ë¾¶5ÀåÃ×Ô²ÖùÐÎľÁϾâ³ÉÁ½¶Î,±íÃæ»ýÔö¼Ó£¨ £©Æ½·½ÀåÃס£ 40¡¢°ÑÒ»¸öÔ²ÖùÌå²àÃæÕ¹¿ª,µÃµ½Ò»¸öÕý·½ÐÎ,Õâ¸öÔ²ÖùÌåµ×Ãæ°ë¾¶ÊÇ0.5·ÖÃ×,Ô²ÖùÌåµÄ¸ß
ÊÇ£¨ £©·ÖÃס£
41¡¢ÔÚÒ»¸öÕý·½ÐÎÀï»Ò»¸ö×î´óµÄÔ²,Õâ¸öÔ²µÄÖܳ¤ÊÇÕâ¸öÕý·½Ðεģ¨ £©,Õâ¸öÔ²µÄÃæ»ý
ÊÇÕý·½Ðεģ¨ £©¡£
42¡¢´óÔ²°ë¾¶ÊÇСԲ°ë¾¶µÄ2±¶,´óÔ²Ãæ»ý±ÈÐ¡Ô²Ãæ»ý¶à12ƽ·½Ã×,Ð¡Ô²Ãæ»ýÊÇ£¨ £©Æ½
·½Ãס£
43¡¢Ò»¸öÔ²ÖùÌåºÍËüµÈµ×µÈ¸ßµÄÔ²×¶ÌåµÄÌå»ýÏàµÈ,Ô²×¶ÌåµÄ¸ßÊÇ12ÀåÃ×,Ô²ÖùÌåµÄ¸ßÊÇ
£¨ £©ÀåÃס£
44¡¢AÊÇBµÄ65%,A£ºB=£¨ £©£º£¨ £©¡£ 45¡¢ÔÚ±ÈÀý³ßÊÇ1£º12500000µÄµØÍ¼ÉÏ,Á¿µÃÁ½³ÇÊмäµÄ¾àÀëÊÇ8ÀåÃ×,Èç¹û»ÔÚ±ÈÀý³ßÊÇ1£º
8000000µÄµØÍ¼ÉÏ,ͼÉϾàÀëÊÇ£¨ £©ÀåÃס£ 1
46¡¢ÔÚÒ»¸ö±ÈÀýÀï,Á½¸öÍâÏîΪ»¥µ¹Êý,ÆäÖÐÒ»¸öÄÚÏîÊÇ6 ,ÁíÒ»¸öÄÚÏîÊÇ£¨ £©¡£
747¡¢¼×¡¢ÒÒÁ½¸ö³¤·½ÐÎ,ËüÃǵÄÖܳ¤ÏàµÈ,¼×µÄ³¤Óë¿íµÄ±ÈÊÇ3£º2,Òҵij¤Óë¿íµÄ±ÈÊÇ4£º5,
¼×ÓëÒÒÃæ»ýÖ®±ÈÊÇ£¨ £©¡£ 11
48¡¢¼×¡¢ÒÒÁ½³µ»õ¹²100¶Ö,ÆäÖм׳µµÄ ÓëÒÒ³µµÄ ÏàµÈ,¼×³µÔË»õ£¨ £©¶Ö,ÒÒ³µÔË»õ£¨ £©¶Ö¡£
46351
49¡¢ µÄ·Ö×ӺͷÖĸͬʱ¼ÓÉÏ£¨ £©ºó,·ÖÊýÖµÊÇ ¡£
20033
50¡¢Ò»Á¾Æû³µ´Ó¼×µØ¿ªÍùÒÒµØÓÃÁË5Сʱ,·µ»ØÊ±ËÙ¶ÈÌá¸ßÁË20%,ÕâÑùÉÙÓÃÁË£¨ £©Ð¡Ê±¡£ 51¡¢°ÑÒ»¸öÀⳤ3·ÖÃ×µÄÕý·½ÌåÇÐÏ÷³ÉÒ»¸ö×î´óµÄÔ²×¶Ìå,ËüµÄÌå»ýÊÇ£¨ £©Á¢·½·ÖÃס£
3
52¡¢Ä³°à¼¶Ò»´Î¿¼ÊÔµÄÆ½¾ù·ÖÊýÊÇ70·Ö,ÆäÖÐ µÄͬѧ¼°¸ñ,ËûÃÇµÄÆ½¾ù·ÖÊÇ80·Ö,²»¼°¸ñ
4ͬѧµÄƽ¾ù·ÖÊÇ£¨ £©·Ö¡£ 53¡¢Ò»¸öÔ²ÖùÌåºÍÒ»¸öÔ²×¶ÌåµÄµ×Ãæ°ë¾¶ÏàµÈ,ËüÃǵĸߵıÈÊÇ5£º6,ËüÃǵÄÌå»ý±ÈÊÇ£¨ £©¡£ 54¡¢Á½¸öÌå»ýÏàµÈ,¸ßÒ²ÏàµÈµÄÔ²ÖùºÍÔ²×¶,ËüÃǵ×Ãæ»ýµÄ±ÈÖµÊÇ£¨ £©¡£ 55¡¢ÒÑÖªÁ½¸öºÏÊýµÄ×î´ó¹«Ô¼ÊýÓë×îС¹«±¶ÊýµÄºÍÊÇ143,ÄÇôÕâÁ½¸öºÏÊýÊÇ£¨ £©ºÍ£¨ £©¡£ 56¡¢³µÂÖµÄÖ±¾¶Ò»¶¨,ËùÐÐÊ»µÄ·³ÌºÍ³µÂÖתÊý³É£¨ £©¡£
5
57¡¢1ǧ¿Ë°×ÌÇµÄ ÊÇ£¨ £©Ç§¿Ë,Óàϵİ×ÌÇÊÇ1ǧ¿ËµÄ£¨ £©¡£
858¡¢µ±ÑκÍË®µÄ±ÈÊÇ2£º18ʱ,ÕâÊǺ¬ÑΣ¨ £©%µÄÑÎË®¡£
1
59¡¢ÄÐÉúÈËÊý±ÈÅ®ÉúÈËÊý¶à ,Å®ÉúÈËÊý±ÈÄÐÉúÈËÊýÉÙ£¨ £©%,Å®ÉúÈËÊýºÍ×ÜÈËÊýµÄ±ÈÊÇ
4
£¨ £©£º£¨ £©¡£
3³ÉÊý
60¡¢8¡Â( )=£¨ £©£º4=0.25= =£¨ £©%= £¨ £©£¨ £©
9СÊýÕÛ¿Û
=£¨ £©¡Â45=3:£¨ £©=£¨ £©%= = 15£¨ £©£¨ £©
1
61¡¢50ǧ¿ËÔö¼Ó£¨ £©%ÊÇ80ǧ¿Ë£»80ǧ¿Ë¼õÉÙ£¨ £©%ÊÇ50ǧ¿Ë£»±È£¨ £©¶à ÊÇ60ǧ¿Ë¡£
52
62¡¢¼×ÊýµÄ ÓëÒÒÊýµÄ75%ÏàµÈ,¼×±ÈÒÒ¶à12,¼×¡¢ÒÒÖ®ºÍΪ£¨ £©¡£
3
63¡¢Ò»¸ùË®¹Ü¾â³É5¶ÎÒª20·ÖÖÓ,¾â³É10¶ÎÒª£¨ £©·ÖÖÓ¡£ 64¡¢Ò»¸öÔ²ÖùÌå,Èç¹û°ÑËüµÄ¸ß½Ø¶Ì6ÀåÃ×,±íÃæ»ý¾Í¼õÉÙ75.36ƽ·½ÀåÃ×,Ìå»ýÓ¦¼õÉÙ£¨ £©
Á¢·½ÀåÃס£
65¡¢ÔÚ5Ã׳¤µÄÉþ×ÓÉϼô3µ¶,ʹÿ¶Î³¤¶ÈÏàµÈ,ÿ¶ÎÊÇÈ«³¤µÄ£¨ £©,ÿ¶ÎÊÇ£¨ £©Ãס£ 11
66¡¢32Ã×Ôö¼ÓËüµÄ ºóÊÇ£¨ £©Ã×,ÔÙ¼õÉÙ Ã׺óÊÇ£¨ £©Ãס£
88
4
67¡¢Ò»²¿·ÖÊé¸å,¼×´ò×ÖÔ±´òÍêÈ«ÊéÒª20Ìì,ÒÒ´ò×ÖÔ±ÓÃͬÑùµÄʱ¼äÖ»ÄÜÍê³ÉÊé¸åµÄ ,¼×¡¢
5ÒÒÁ½È˺ϴòÕⲿÊé¸åÒª£¨ £©ÌìÍê³É¡£
68¡¢Óó¤20ÀåÃ×,¿í15ÀåÃ×,¸ß6ÀåÃ׵ij¤·½Ìåľ¿é,¶Ñ³ÉÒ»¸öÕý·½Ìå,ÖÁÉÙÐèÒª£¨ £©¿é
ÕâÑùµÄľ¿é¡£
69¡¢Ò»¸öÔ²À©´óºó,Ãæ»ý±ÈÔÀ´¶à8±¶,Öܳ¤±ÈÔÀ´¶à50.24ÀåÃ×,Õâ¸öÔ²ÔÀ´µÄÃæ»ýÊÇ
£¨ £©¡£ 1
70¡¢ÒÑÖªa£ºb=c£ºd,ÏÖ½«aÀ©´ó3±¶,bËõСµ½ÔÀ´µÄ ,c²»±ä,dÓ¦£¨ £©,±ÈÀýʽÈÔÈ»³ÉÁ¢¡£
371¡¢Á½¸ö¸ßÏàµÈ,µ×Ãæ°ë¾¶Ö®±ÈΪ1£º2µÄÔ²ÖùºÍÔ²×¶,ËüÃǵÄÌå»ýÖ®±ÈÊÇ£¨ £©¡£ 72¡¢º¬ÑÎ10%µÄÑÎË®100¿ËÓ뺬ÑÎ20%µÄÑÎË®150¿Ë»ìºÏºó,ÑÎÕ¼ÑÎË®µÄ£¨ £©¡£
¡£¡£
7
73¡¢ÔÚ72.5%, ,0.7255,0.725ÖÐ,×î´óµÄÊýÊÇ£¨ £©,×îСµÄÊýÊÇ£¨ £©¡£
9
74¡¢ÓÃ10.28ÀåÃ×µÄÌú˿Χ³ÉÒ»¸ö°ëÔ²ÐÎ,ËüµÄÃæ»ýÊÇ£¨ £©Æ½·½ÀåÃס£ 75¡¢°Ñ
¡£¡£
3
377%,3.7,3 ,3.707,3.71Îå¸öÊý´ÓСµ½´óÅÅÁУº
10
¡£
£¨ £©