¡¶¹ÜÀíÔ˳ïѧ¡·¸´Ï°Ìâ¼°²Î¿¼´ð°¸¹Ü£¨ÐÂÅÅ£© - ͼÎÄ

Èý¡¢¶àÑ¡Ìâ

1£® ¶ÔȡֵÎÞÔ¼ÊøµÄ±äÁ¿xj¡£Í¨³£Áîxj=xj¡¯- x¡±j£¬ÆäÖÐxj¡¯¡Ý0£¬

xj¡±¡Ý0£¬ÔÚÓõ¥´¿Ðη¨ÇóµÃµÄ×îÓŽâÖУ¬¿ÉÄܳöÏÖµÄÊÇABC

2£®ÏßÐԹ滮ÎÊÌâmaxZ=x1+CX2

ÆäÖÐ4¡Üc¡Ü6£¬Ò»1¡Üa¡Ü3£¬10¡Üb¡Ü12£¬Ôòµ±_ BC

ʱ£¬¸ÃÎÊÌâµÄ×îÓÅÄ¿±êº¯ÊýÖµ·Ö±ð´ïµ½ÉϽç»òϽ硣 A£®c=6 a=-1 b=10 B£®c=6 a=-1 b=12 C£®c=4 a=3 b=12 D£®c=4 a=3 b=12 E£®c=6 a=3 b=12

3£®ÉèX£¬XÊÇÓõ¥´¿Ðη¨ÇóµÃµÄijһÏßÐԹ滮ÎÊÌâµÄ×îÓŽ⣬Ôò˵Ã÷ACDE¡£

A£®´ËÎÊÌâÓÐÎÞÇî¶à×îÓŽâ B£®¸ÃÎÊÌâÊÇÍË»¯ÎÊÌâ C£®´ËÎÊÌâµÄÈ«²¿×îÓŽâ¿É±íʾΪ¦ËX+(1Ò»¦Ë)X£¬ÆäÖÐ0¡Ü¦Ë¡Ü1 D£®X£¬XÊÇÁ½¸ö»ù¿ÉÐнâE£®X£¬XµÄ»ù±äÁ¿¸öÊýÏàͬ

4£®Ä³ÏßÐԹ滮ÎÊÌ⣬º¬ÓÐn¸ö±äÁ¿£¬m¸öÔ¼Êø·½³Ì£¬(m

5£®µ¥´¿Ðη¨ÖУ¬ÔÚ½øÐл»»ùÔËËãʱ£¬Ó¦ACDE¡£A£®ÏÈѡȡ½ø»ù±äÁ¿£¬ÔÙѡȡ³ö»ù±äÁ¿B£®ÏÈÑ¡³ö»ù±äÁ¿£¬ÔÙÑ¡½ø»ù±äÁ¿C£®½ø»ù±äÁ¿µÄϵÊýÁÐÏòÁ¿Ó¦»¯Îªµ¥Î»ÏòÁ¿ D£®Ðýת±ä»»Ê±²ÉÓõľØÕóµÄ³õµÈÐб任E£®³ö»ù±äÁ¿µÄѡȡÊǸù¾Ý×îС±ÈÖµ·¨Ôò

6£®´ÓÒ»Õŵ¥´¿ÐαíÖпÉÒÔ¿´³öµÄÄÚÈÝÓÐABCE¡£A£®Ò»¸ö»ù¿ÉÐнâB£®µ±Ç°½âÊÇ·ñΪ×îÓŽâC£®ÏßÐԹ滮ÎÊÌâÊÇ·ñ³öÏÖÍË»¯D£®ÏßÐԹ滮ÎÊÌâµÄ×îÓŽâE£®ÏßÐԹ滮ÎÊÌâÊÇ·ñÎÞ½ç

7.µ¥´¿Ðαíµü´úÍ£Ö¹µÄÌõ¼þΪ£¨ AB £©

A ËùÓЦÄj¾ùСÓÚµÈÓÚ0 B ËùÓЦÄj¾ùСÓÚµÈÓÚ0ÇÒÓÐaik¡Ü0 C ËùÓÐaik£¾0 D ËùÓÐbi¡Ü0

8.ÏÂÁнâÖпÉÄܳÉΪ×îÓŽâµÄÓУ¨ ABCDE £©

A »ù¿ÉÐнâ B µü´úÒ»´ÎµÄ¸Ä½ø½â Cµü´úÁ½´ÎµÄ¸Ä½ø½â Dµü´úÈý´ÎµÄ¸Ä½ø½â

E ËùÓмìÑéÊý¾ùСÓÚµÈÓÚ0ÇÒ½âÖÐÎÞÈ˹¤±äÁ¿

9¡¢ÈôijÏßÐԹ滮ÎÊÌâÓÐÎÞÇî¶à×îÓŽ⣬ӦÂú×ãµÄÌõ¼þÓУ¨ BCE £© A Pk£¼Pk0 B·Ç»ù±äÁ¿¼ìÑéÊýΪÁã C»ù±äÁ¿ÖÐûÓÐÈ˹¤±äÁ¿ D¦Ä£¼O EËùÓЦÄj¡Ü0

10.ÏÂÁнâÖпÉÄܳÉΪ×îÓŽâµÄÓУ¨ ABCDE £©

A»ù¿ÉÐнâ Bµü´úÒ»´ÎµÄ¸Ä½ø½â Cµü´úÁ½´ÎµÄ¸Ä½ø½â

Dµü´úÈý´ÎµÄ¸Ä½ø½âEËùÓмìÑéÊý¾ùСÓÚµÈÓÚ0ÇÒ½âÖÐÎÞÈ˹¤±äÁ¿ ËÄ¡¢Ãû´Ê¡¢¼ò´ð

1¡¢ÈËÔì³õʼ¿ÉÐлù£ºµ±ÎÒÃÇÎÞ·¨´ÓÒ»¸ö±ê×¼µÄÏßÐԹ滮ÎÊÌâÖÐÕÒµ½Ò»¸öm½×µ¥Î»¾ØÕóʱ£¬Í¨³£ÔÚÔ¼Êø·½³ÌÖÐÒýÈëÈ˹¤±äÁ¿£¬¶øÔÚϵÊý¾ØÕóÖдճÉÒ»

j

M

N

M

(1)

(2)

(1)

(2)

(1)

(2)

(1)

(2)

¸öm½×µ¥Î»¾ØÕ󣬽ø¶øÐγɵÄÒ»¸ö³õʼ¿ÉÐлù³ÆÎªÈËÔì³õʼ¿ÉÐлù¡£ 2¡¢µ¥´¿Ð稽âÌâµÄ»ù±¾Ë¼Â·£¿ ¿ÉÐÐÓòµÄÒ»¸ö»ù±¾¿ÉÐн⿪ʼ£¬×ªÒƵ½ÁíÒ»¸ö»ù±¾¿ÉÐн⣬²¢ÇÒʹĿ±êº¯ÊýÖµÖ𲽵õ½¸ÄÉÆ£¬Ö±µ½×îºóÇò³¡×îÓŽâ»òÅж¨Ô­ÎÊÌâÎ޽⡣

Îå¡¢·Ö±ðÓÃͼ½â·¨ºÍµ¥´¿Ðη¨Çó½âÏÂÁÐÏßÐԹ滮ÎÊÌ⣮²¢¶ÔÕÕÖ¸³öµ¥´¿ÐÎ

Áù¡¢Óõ¥´¿Ðη¨Çó½âÏÂÁÐÏßÐԹ滮ÎÊÌ⣺

µü´úµÄÿһ²½Ï൱ÓÚͼ½â·¨¿ÉÐÐÓòÖеÄÄÄÒ»¸ö¶¥µã¡£

Æß¡¢ÓôóM·¨Çó½âÏÂÁÐÏßÐԹ滮ÎÊÌâ¡£²¢Ö¸³öÎÊÌâµÄ½âÊôÓÚÄÄÒ»Àà¡£

°Ë¡¢Ï±íΪÓõ¥´¿Ðη¨¼ÆËãʱijһ²½µÄ±í¸ñ¡£ÒÑÖª¸ÃÏßÐԹ滮µÄÄ¿±êº¯ÊýΪmaxZ=5x1+3x2£¬Ô¼ÊøÐÎʽΪ¡°¡Ü¡±£¬X3£¬X4ΪËɳ۱äÁ¿£®±íÖнâ´úÈëÄ¿±êº¯ÊýºóµÃZ=10 Xl X2 X3 X4 ¡ª10 b -1 f g X3 2 C O 1 1£¯5 Xl a d e 0 1 (1)Çó±íÖÐa¡«gµÄÖµ (2)±íÖиø³öµÄ½âÊÇ·ñΪ×îÓŽâ?

£¨1£©a=2 b=0 c=0 d=1 e=4/5 f=0 g=£­5 £¨2£© ±íÖиø³öµÄ½âΪ×îÓŽâ

µÚËÄÕ ÏßÐԹ滮µÄ¶ÔżÀíÂÛ Ò»¡¢Ìî¿ÕÌâ

1£®ÏßÐԹ滮ÎÊÌâ¾ßÓжÔżÐÔ£¬¼´¶ÔÓÚÈκÎÒ»¸öÇó×î´óÖµµÄÏßÐԹ滮ÎÊÌ⣬

¶¼ÓÐÒ»¸öÇó×îСֵ/¼«Ð¡ÖµµÄÏßÐԹ滮ÎÊÌâÓëÖ®¶ÔÓ¦£¬·´Ö®ÒàÈ»¡£ 2£®ÔÚÒ»¶Ô¶ÔżÎÊÌâÖУ¬Ô­ÎÊÌâµÄÔ¼ÊøÌõ¼þµÄÓҶ˳£ÊýÊǶÔżÎÊÌâµÄÄ¿±êº¯ÊýϵÊý¡£

3£®Èç¹ûÔ­ÎÊÌâµÄij¸ö±äÁ¿ÎÞÔ¼Êø£¬Ôò¶ÔżÎÊÌâÖжÔÓ¦µÄÔ¼ÊøÌõ¼þӦΪµÈʽ_¡£

4£®¶ÔżÎÊÌâµÄ¶ÔżÎÊÌâÊÇÔ­ÎÊÌâ_¡£

5£®ÈôÔ­ÎÊÌâ¿ÉÐУ¬µ«Ä¿±êº¯ÊýÎ޽磬Ôò¶ÔżÎÊÌâ²»¿ÉÐС£

6£®ÈôijÖÖ×ÊÔ´µÄÓ°×Ó¼Û¸ñµÈÓÚk¡£ÔÚÆäËûÌõ¼þ²»±äµÄÇé¿öÏÂ(¼ÙÉèÔ­ÎÊÌâµÄ×î¼Ñ»ù²»±ä)£¬µ±¸ÃÖÖ×ÊÔ´Ôö¼Ó3¸öµ¥Î»Ê±¡£ÏàÓ¦µÄÄ¿±êº¯ÊýÖµ

½«Ôö¼Ó3k ¡£

7£®ÏßÐԹ滮ÎÊÌâµÄ×îÓÅ»ùΪB£¬»ù±äÁ¿µÄÄ¿±êϵÊýΪCB£¬ÔòÆä¶ÔżÎÊÌâµÄ×îÓŽâY©~

= C£­BB1

¡£

8£®ÈôX©~

ºÍY©~

·Ö±ðÊÇÏßÐԹ滮µÄÔ­ÎÊÌâºÍ¶ÔżÎÊÌâµÄ×îÓŽ⣬ÔòÓÐCX©~

= Y©~

b¡£

9£®ÈôX¡¢Y·Ö±ðÊÇÏßÐԹ滮µÄÔ­ÎÊÌâºÍ¶ÔżÎÊÌâµÄ¿ÉÐн⣬ÔòÓÐCX¡ÜYb¡£ 10£®ÈôX©~

ºÍY©~

·Ö±ðÊÇÏßÐԹ滮µÄÔ­ÎÊÌâºÍ¶ÔżÎÊÌâµÄ×îÓŽ⣬ÔòÓÐCX

©~

=Y*b¡£

11£®ÉèÏßÐԹ滮µÄÔ­ÎÊÌâΪmaxZ=CX£¬Ax¡Üb£¬X¡Ý0£¬ÔòÆä¶ÔżÎÊÌâΪmin=Yb YA¡Ýc Y¡Ý0_¡£

12£®Ó°×Ó¼Û¸ñʵ¼ÊÉÏÊÇÓëÔ­ÎÊÌâ¸÷Ô¼ÊøÌõ¼þÏàÁªÏµµÄ¶Ôż±äÁ¿µÄÊýÁ¿±íÏÖ¡£

13£®ÏßÐԹ滮µÄÔ­ÎÊÌâµÄÔ¼ÊøÌõ¼þϵÊý¾ØÕóΪA£¬ÔòÆä¶ÔżÎÊÌâµÄÔ¼ÊøÌõ¼þϵÊý¾ØÕóΪAT

¡£

14£®ÔÚ¶Ôżµ¥´¿Ð稵ü´úÖУ¬Èôijbi<0£¬ÇÒËùÓеÄaij¡Ý0(j=1£¬2£¬?n)£¬ÔòÔ­ÎÊÌâ_Î޽⡣ ¶þ¡¢µ¥Ñ¡Ìâ

1£®ÏßÐԹ滮ԭÎÊÌâµÄÄ¿±êº¯ÊýΪÇó¼«Ð¡ÖµÐÍ£¬ÈôÆäij¸ö±äÁ¿Ð¡ÓÚµÈÓÚ0£¬ÔòÆä¶ÔżÎÊÌâÔ¼ÊøÌõ¼þΪAÐÎʽ¡£

A£®¡°¡Ý¡± B£®¡°¡Ü¡± C£¬¡°>¡± D£®¡°=¡±

2£®ÉèX¡¢Y·Ö±ðÊDZê×¼ÐÎʽµÄÔ­ÎÊÌâÓë¶ÔżÎÊÌâµÄ¿ÉÐнâ,Ôò C ¡£

3£®¶Ôżµ¥´¿Ðη¨µÄµü´úÊÇ´Ó_ A_¿ªÊ¼µÄ¡£

A£®ÕýÔò½â B£®×îÓŽâ C£®¿ÉÐнâ D£®»ù±¾½â

4£®Èç¹ûz¡£ÊÇij±ê×¼ÐÍÏßÐԹ滮ÎÊÌâµÄ×îÓÅÄ¿±êº¯ÊýÖµ£¬ÔòÆä¶ÔżÎÊÌâµÄ×îÓÅÄ¿±êº¯ÊýÖµw©~

A¡£

A£®W©~

=Z

©~

B£®W©~¡ÙZ

©~

C£®W©~¡ÜZ

©~

D£®W©~¡ÝZ©~

5£®Èç¹ûijÖÖ×ÊÔ´µÄÓ°×Ó¼Û¸ñ´óÓÚÆäÊг¡¼Û¸ñ£¬Ôò˵Ã÷_ B

A£®¸Ã×ÊÔ´¹ýÊ£B£®¸Ã×ÊԴϡȱ C£®ÆóÒµÓ¦¾¡¿ì´¦Àí¸Ã×ÊÔ´D£®ÆóÒµÓ¦³ä·ÖÀûÓøÃ×ÊÔ´£¬¿ªÆ§ÐµÄÉú²ú;¾¶ Èý¡¢¶àÑ¡Ìâ

1£®ÔÚÒ»¶Ô¶ÔżÎÊÌâÖУ¬¿ÉÄÜ´æÔÚµÄÇé¿öÊÇABC¡£

A£®Ò»¸öÎÊÌâÓпÉÐн⣬ÁíÒ»¸öÎÊÌâÎÞ¿ÉÐнâ B£®Á½¸öÎÊÌâ¶¼ÓпÉÐнâ

C£®Á½¸öÎÊÌâ¶¼ÎÞ¿ÉÐнâ D£®Ò»¸öÎÊÌâÎ޽磬ÁíÒ»¸öÎÊÌâ¿ÉÐÐ

2£®ÏÂÁÐ˵·¨´íÎóµÄÊÇB ¡£

A£®ÈκÎÏßÐԹ滮ÎÊÌâ¶¼ÓÐÒ»¸öÓëÖ®¶ÔÓ¦µÄ¶ÔżÎÊÌâB£®¶ÔżÎÊÌâÎÞ¿ÉÐнâʱ£¬ÆäÔ­ÎÊÌâµÄÄ¿±êº¯ÊýÎ޽硣C£®ÈôÔ­ÎÊÌâΪmaxZ=CX£¬AX¡Üb£¬X¡Ý0£¬

Ôò¶ÔżÎÊÌâΪminW=Yb£¬YA¡ÝC£¬Y¡Ý0¡£D£®ÈôÔ­ÎÊÌâÓпÉÐн⣬µ«Ä¿±êº¯ÊýÎ޽磬Æä¶ÔżÎÊÌâÎÞ¿ÉÐн⡣

3£®ÈçÏßÐԹ滮µÄÔ­ÎÊÌâΪÇ󼫴óÖµÐÍ£¬ÔòÏÂÁйØÓÚÔ­ÎÊÌâÓë¶ÔżÎÊÌâµÄ¹ØÏµÖÐÕýÈ·µÄÊÇBCDE¡£

AÔ­ÎÊÌâµÄÔ¼ÊøÌõ¼þ¡°¡Ý¡±£¬¶ÔÓ¦µÄ¶Ôż±äÁ¿¡°¡Ý0¡± BÔ­ÎÊÌâµÄÔ¼ÊøÌõ¼þΪ¡°=¡±£¬¶ÔÓ¦µÄ¶Ôż±äÁ¿Îª×ÔÓɱäÁ¿ C£®Ô­ÎÊÌâµÄ±äÁ¿¡°¡Ý0¡±£¬¶ÔÓ¦µÄ¶ÔÅ¼Ô¼Êø¡°¡Ý¡± D£®Ô­ÎÊÌâµÄ±äÁ¿¡°¡ÜO¡±¶ÔÓ¦µÄ¶ÔÅ¼Ô¼Êø¡°¡Ü¡±E£®Ô­ÎÊÌâµÄ±äÁ¿ÎÞ·ûºÅÏÞÖÆ£¬¶ÔÓ¦µÄ¶ÔÅ¼Ô¼Êø¡°=¡±

4£®Ò»¶Ô»¥Îª¶ÔżµÄÎÊÌâ´æÔÚ×îÓŽ⣬ÔòÔÚÆä×îÓŵ㴦ÓÐBD

A£®Èôij¸ö±äÁ¿È¡ÖµÎª0£¬Ôò¶ÔÓ¦µÄ¶ÔÅ¼Ô¼ÊøÎªÑϸñµÄ²»µÈʽB£®Èôij¸ö±äÁ¿È¡ÖµÎªÕý£¬ÔòÏàÓ¦µÄ¶ÔÅ¼Ô¼Êø±ØÎªµÈʽC£®Èôij¸öÔ¼ÊøÎªµÈʽ£¬ÔòÏàÓ¦µÄ¶Ôż±äȡֵΪÕýD£®Èôij¸öÔ¼ÊøÎªÑϸñµÄ²»µÈʽ£¬ÔòÏàÓ¦µÄ¶Ôż±äÁ¿È¡ÖµÎª0 E£®Èôij¸öÔ¼ÊøÎªµÈʽ£¬ÔòÏàÓ¦µÄ¶Ôż±äÁ¿È¡ÖµÎª0 5£®ÏÂÁÐÓйضÔżµ¥´¿Ð稵Ä˵·¨ÕýÈ·µÄÊÇABCD¡£

A£®ÔÚµü´ú¹ý³ÌÖÐÓ¦ÏÈÑ¡³ö»ù±äÁ¿£¬ÔÙÑ¡½ø»ù±äÁ¿B£®µ±µü´úÖеõ½µÄ½âÂú×ãԭʼ¿ÉÐÐÐÔÌõ¼þʱ£¬¼´µÃµ½×îÓŽâ C£®³õʼµ¥´¿ÐαíÖÐÌîÁеÄÊÇÒ»¸öÕýÔò½âD£®³õʼ½â²»ÐèÒªÂú×ã¿ÉÐÐÐÔ E£®³õʼ½â±ØÐëÊÇ¿ÉÐеġ£ 6£®¸ù¾Ý¶ÔżÀíÂÛ£¬ÔÚÇó½âÏßÐԹ滮µÄÔ­ÎÊÌâʱ£¬¿ÉÒԵõ½ÒÔϽáÂÛACD¡£

A£® ¶ÔżÎÊÌâµÄ½âB£®Êг¡ÉϵÄϡȱÇé¿ö C£®Ó°×Ó¼Û¸ñD£®×ÊÔ´µÄ¹ºÏú¾ö²ßE£®×ÊÔ´µÄÊг¡¼Û¸ñ

7£®ÔÚÏÂÁÐÏßÐԹ滮ÎÊÌâÖУ¬CE²ÉÓÃÇóÆä¶ÔżÎÊÌâµÄ·½·¨£¬µ¥´¿Ðεü´úµÄ²½ÖèÒ»°ã»á¼õÉÙ¡£

ËÄ¡¢Ãû´Ê¡¢¼ò´ðÌâ

1¡¢¶Ôż¿ÉÐлù£º·²Âú×ãÌõ¼þ¦Ä=C-C-1

BBA¡Ü0µÄ»ùB³ÆÎª¶Ôż¿ÉÐлù¡£ 2¡¢.¶Ô³ÆµÄ¶ÔżÎÊÌ⣺ÉèԭʼÏßÐԹ滮ÎÊÌâΪmaxZ=CX s.t AX¡Üb X ¡Ý0

³ÆÏßÐԹ滮ÎÊÌâminW=Yb s.t YA¡ÝC Y¡Ý0 ΪÆä¶ÔżÎÊÌâ¡£ÓÖ³ÆËüÃÇΪһ¶Ô¶Ô³ÆµÄ¶ÔżÎÊÌâ¡£

3¡¢Ó°×Ó¼Û¸ñ£º¶Ôż±äÁ¿Yi±íʾÓëÔ­ÎÊÌâµÄµÚi¸öÔ¼ÊøÌõ¼þÏà¶ÔÓ¦µÄ×ÊÔ´µÄÓ°×Ó¼Û¸ñ£¬ÔÚÊýÁ¿ÉϱíÏÖΪ£¬µ±¸ÃÔ¼ÊøÌõ¼þµÄÓҶ˳£ÊýÔö¼ÓÒ»¸öµ¥Î»Ê±£¨¼ÙÉèÔ­ÎÊÌâµÄ×îÓŽⲻ±ä£©£¬Ô­ÎÊÌâÄ¿±êº¯Êý×îÓÅÖµÔö¼ÓµÄÊýÁ¿¡£ 4£®Ó°×Ó¼Û¸ñÔÚ¾­¼Ã¹ÜÀíÖеÄ×÷Óᣣ¨1£©Ö¸³öÆóÒµÄÚ²¿ÍÚDZµÄ·½Ïò£»£¨2£©Îª×ÊÔ´µÄ¹ºÏú¾ö²ßÌṩÒÀ¾Ý£»£¨3£©·ÖÎöÏÖÓвúÆ·¼Û¸ñ±ä¶¯Ê±×ÊÔ´½ôȱÇé¿öµÄÓ°Ï죻£¨4£©·ÖÎö×ÊÔ´½ÚÔ¼Ëù´øÀ´µÄÊÕÒæ£»£¨5£©¾ö¶¨Ä³ÏîвúÆ·ÊÇ·ñӦͶ²ú¡£ 5£®ÏßÐԹ滮¶ÔżÎÊÌâ¿ÉÒÔ²ÉÓÃÄÄЩ·½·¨Çó½â£¿£¨1£©Óõ¥´¿Ð稽â¶ÔżÎÊÌ⣻£¨2£©ÓÉÔ­ÎÊÌâµÄ×îÓŵ¥´¿ÐαíµÃµ½£»£¨3£©ÓÉÔ­ÎÊÌâµÄ×îÓŽâÀûÓû¥²¹Ëɳڶ¨ÀíÇóµÃ£»£¨4£©ÓÉY*=CBB-1ÇóµÃ£¬ÆäÖÐBΪԭÎÊÌâµÄ×îÓÅ»ù

6¡¢Ò»¶Ô¶ÔżÎÊÌâ¿ÉÄܳöÏÖµÄÇéÐΣº1.Ô­ÎÊÌâºÍ¶ÔżÎÊÌâ¶¼ÓÐ×îÓŽ⣬ÇÒ¶þÕßÏàµÈ£»2.Ò»¸öÎÊÌâ¾ßÓÐÎÞ½ç½â£¬ÔòÁíÒ»¸öÎÊÌâ¾ßÓÐÎÞ¿ÉÐн⣻3.Ô­ÎÊÌâºÍ¶ÔżÎÊÌâ¶¼ÎÞ¿ÉÐн⡣

Î塢д³öÏÂÁÐÏßÐԹ滮ÎÊÌâµÄ¶ÔżÎÊÌâ

1£®minZ=2x1+2x2+4x3

Áù¡¢ÒÑÖªÏßÐԹ滮ÎÊÌâ

ÓŽâµÄÄ¿±êº¯ÊýÖµ²»´óÓÚ25

Ó¦ÓöÔżÀíÂÛÖ¤Ã÷¸ÃÎÊÌâ×î

ÁªÏµ¿Í·þ£º779662525#qq.com(#Ìæ»»Îª@) ËÕICP±¸20003344ºÅ-4