電大離散數(shù)學(xué)作業(yè)3答案(集合論部分)

1、 形成性考核作業(yè) 專業(yè)好文檔姓 名： 學(xué) 號： 得 分： 教師簽名： 離散數(shù)學(xué)作業(yè)3離散數(shù)學(xué)集合論部分形成性考核書面作業(yè)本課程形成性考核書面作業(yè)共3次，內(nèi)容主要分別是集合論部分、圖論部分、數(shù)理邏輯部分的綜合練習(xí)，基本上是按照考試的題型（除單項(xiàng)選擇題外）安排練習(xí)題目，目的是通過綜合性書面作業(yè)，使同學(xué)自己檢驗(yàn)學(xué)習(xí)成果，找出掌握的薄弱知識點(diǎn)，重點(diǎn)復(fù)習(xí)，爭取盡快掌握。本次形考書面作業(yè)是第一次作業(yè)，大家要認(rèn)真及時(shí)地完成集合論部分的綜合練習(xí)作業(yè)。要求：將此作業(yè)用a4紙打印出來，手工書寫答題，字跡工整，解答題要有解答過程，要求2010年11月7日前完成并上交任課教師（不收電子稿）。并在03任務(wù)界面下方點(diǎn)擊“

2、保存”和“交卷”按鈕，完成并上交任課教師。一、填空題 1設(shè)集合，則p(a)-p(b )= 1,2,2,3,1,3,1,2,3 ，a b= , 2設(shè)集合a有10個(gè)元素，那么a的冪集合p(a)的元素個(gè)數(shù)為 1024 3設(shè)集合a=0, 1, 2, 3，b=2, 3, 4, 5，r是a到b的二元關(guān)系，則r的有序?qū)蠟?,4設(shè)集合a=1, 2, 3, 4 ，b=6, 8, 12， a到b的二元關(guān)系r那么r1 , 5設(shè)集合a=a, b, c, d，a上的二元關(guān)系r=, , , ，則r具有的性質(zhì)是反自反性6設(shè)集合a=a, b, c, d，a上的二元關(guān)系r=, , , ，若在r中再增加兩個(gè)元素, ，則新得到

3、的關(guān)系就具有對稱性7如果r1和r2是a上的自反關(guān)系，則r1r2，r1r2，r1-r2中自反關(guān)系有 2 個(gè)8設(shè)a=1, 2上的二元關(guān)系為r=|xa，ya, x+y =10，則r的自反閉包為 , 9設(shè)r是集合a上的等價(jià)關(guān)系，且1 , 2 , 3是a中的元素，則r中至少包含 , 等元素10設(shè)集合a=1, 2，b=a, b，那么集合a到b的雙射函數(shù)是 ,或, 二、判斷說明題（判斷下列各題，并說明理由）1若集合a = 1，2，3上的二元關(guān)系r=，則(1) r是自反的關(guān)系； (2) r是對稱的關(guān)系 解：(1) 結(jié)論不成立 因?yàn)殛P(guān)系r要成為自反的，其中缺少元素 (2) 結(jié)論不成立 因?yàn)殛P(guān)系r中缺少元素 2如

4、果r1和r2是a上的自反關(guān)系，判斷結(jié)論：“r-11、r1r2、r1r2是自反的” 是否成立？并說明理由 解：結(jié)論成立 因?yàn)閞1和r2是a上的自反關(guān)系，即iar1，iar2 由逆關(guān)系定義和iar1，得ia r1-1； 由iar1，iar2，得ia r1r2，ia r1r2所以，r1-1、r1r2、r1r2是自反的ooooabcd圖一ooogefho3若偏序集的哈斯圖如圖一所示，則集合a的最大元為a，最小元不存在 錯誤，按照定義，圖中不存在最大元和最小元。 4設(shè)集合a=1, 2, 3, 4，b=2, 4, 6, 8，判斷下列關(guān)系f是否構(gòu)成函數(shù)f：，并說明理由(1) f=, , , ； (2)f=,

5、 , ；(3) f=, , , (1) 不構(gòu)成函數(shù)，因?yàn)樗亩x域dom(f)a(2) 也不構(gòu)成函數(shù)，因?yàn)樗亩x域dom(f)a(3) 構(gòu)成函數(shù)，首先它的定義域dom(f) =1, 2, 3, 4= a，其次對于a中的每一個(gè)元素a，在b中都有一個(gè)唯一的元素b，使f三、計(jì)算題1設(shè)，求：(1) (ab)c； (2) (ab)- (ba) (3) p(a)p(c)； (4) ab解：(1) (ab)c=11,3,5=1,3,5(2) (ab)- (ba)=1,2,4,5-1=2,4,5(3) p(a) =,1,4,1,4p(c)= ,2,4,2,4p(a)p(c)=1,1,4(4) ab= (ab

6、)- (ba)= 2,4,52設(shè)a=1,2,1,2，b=1,2,1,2，試計(jì)算（1）（a-b）； （2）（ab）； （3）ab解：（1）（a-b）=1,2（2）（ab）=1,2(3) ab ,3設(shè)a=1，2，3，4，5，r=|xa，ya且x+y4，s=|xa，ya且x+y0，試求r，s，rs，sr，r-1，s-1，r(s)，s(r) 解： r=,s=rs=sr=r-1=,s-1=r(s)= ,s(r)= , 4設(shè)a=1, 2, 3, 4, 5, 6, 7, 8，r是a上的整除關(guān)系，b=2, 4, 6(1) 寫出關(guān)系r的表示式； (2 )畫出關(guān)系r的哈斯圖； (3) 求出集合b的最大元、最小元

7、解：(1) r=,12346578關(guān)系r的哈斯圖(2) (3) 集合b沒有最大元，最小元是2四、證明題 1試證明集合等式：a (bc)=(ab) (ac)證：設(shè)，若xa (bc)，則xa或xbc，即 xa或xb 且 xa或xc即xab 且 xac ，即 xt=(ab) (ac)，所以a (bc) (ab) (ac) 反之，若x(ab) (ac)，則xab 且 xac， 即xa或xb 且 xa或xc，即xa或xbc，即xa (bc)，所以(ab) (ac) a (bc) 因此a (bc)=(ab) (ac)2試證明集合等式a (bc)=(ab) (ac)證明：設(shè)s=a(bc)，t=(ab)(ac

8、)， 若xs，則xa且xbc，即 xa且xb 或 xa且xc， 也即xab 或 xac ，即 xt，所以st 反之，若xt，則xab 或 xac， 即xa且xb 或 xa且xc 也即xa且xbc，即xs，所以ts 因此t=s 3對任意三個(gè)集合a, b和c，試證明：若ab = ac，且a，則b = c 證明：設(shè)xa，yb，則ab， 因?yàn)閍b = ac，故 ac，則有yc， 所以b c 設(shè)xa，zc，則 ac， 因?yàn)閍b = ac，故ab，則有zb，所以cb 故得a=b 4試證明：若r與s是集合a上的自反關(guān)系，則rs也是集合a上的自反關(guān)系r1和r2是自反的，x a， r1， r2，則 r1r2，

9、所以r1r2是自反的if we dont do that it will go on and go on. we have to stop it; we need the courage to do it.his comments came hours after fifa vice-president jeffrey webb - also in london for the fas celebrations - said he wanted to meet ivory coast international toure to discuss his complaint.cska gener

10、al director roman babaev says the matter has been exaggerated by the ivorian and the british media.blatter, 77, said: it has been decided by the fifa congress that it is a nonsense for racism to be dealt with with fines. you can always find money from somebody to pay them.it is a nonsense to have ma

11、tches played without spectators because it is against the spirit of football and against the visiting team. it is all nonsense.we can do something better to fight racism and discrimination.this is one of the villains we have today in our game. but it is only with harsh sanctions that racism and disc

12、rimination can be washed out of football.the (lack of) air up there watch mcayman islands-based webb, the head of fifas anti-racism taskforce, is in london for the football associations 150th anniversary celebrations and will attend citys premier league match at chelsea on sunday.i am going to be at

13、 the match tomorrow and i have asked to meet yaya toure, he told bbc sport.for me its about how he felt and i would like to speak to him first to find out what his experience was.uefa hasopened disciplinary proceedings against cskafor the racist behaviour of their fans duringcitys 2-1 win.michel pla

14、tini, president of european footballs governing body, has also ordered an immediate investigation into the referees actions.cska said they were surprised and disappointed by toures complaint. in a statement the russian side added: we found no racist insults from fans of cska.baumgartner the disappoi

15、nting news: mission aborted.the supersonic descent could happen as early as sunda.the weather plays an important role in this mission. starting at the ground, conditions have to be very calm - winds less than 2 mph, with no precipitation or humidity and limited cloud cover. the balloon, with capsule

16、 attached, will move through the lower level of the atmosphere (the troposphere) where our day-to-day weather lives. it will climb higher than the tip of mount everest (5.5 miles/8.85 kilometers), drifting even higher than the cruising altitude of commercial airliners (5.6 miles/9.17 kilometers) and

17、 into the stratosphere. as he crosses the boundary layer (called the tropopause),e can expect a lot of turbulence.the balloon will slowly drift to the edge of space at 120,000 feet ( then, i would assume, he will slowly step out onto something resembling an olympic diving platform.below, the earth b

18、ecomes the concrete bottom of a swimming pool that he wants to land on, but not too hard. still, hell be traveling fast, so despite the distance, it will not be like diving into the deep end of a pool. it will be like he is diving into the shallow end.skydiver preps for the big jumpwhen he jumps, he

19、 is expected to reach the speed of sound - 690 mph (1,110 kph) - in less than 40 seconds. like hitting the top of the water, he will begin to slow as he approaches the more dense air closer to earth. but this will not be enough to stop him completely.if he goes too fast or spins out of control, he h

20、as a stabilization parachute that can be deployed to slow him down. his team hopes its not needed. instead, he plans to deploy his 270-square-foot (25-square-meter) main chute at an altitude of around 5,000 feet (1,524 meters).in order to deploy this chute successfully, he will have to slow to 172 m

21、ph (277 kph). he will have a reserve parachute that will open automatically if he loses consciousness at mach speeds.even if everything goes as planned, it wont. baumgartner still will free fall at a speed that would cause you and me to pass out, and no parachute is guaranteed to work higher than 25

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25、芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃

26、薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀

27、襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆

28、膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆 羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆

29、蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂

30、荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀

31、衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈

32、蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇

33、莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇

34、蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃 肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆

35、袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇 膆蝕蚆螃艿蒃 薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁蝿袇莂薆蚅袆肂荿薁裊膄薄袀襖芆莇螆羃荿薃螞羂肈蒞薈羂膀薁薄羈莃蒄袂羀肂蠆螈罿膅蒂蚄羈芇蚇薀羇荿蒀衿肆聿芃螅肆膁葿蟻肅莄芁蚇肄肅薇薃肅膆莀袁肂羋薅螇肁莀莈蚃肀肀薃蕿膀膂莆袈腿芄薂螄膈蕆蒞螀膇膆蝕蚆 螃艿蒃薂螃莁蚈袁螂肁蒁螇螁膃蚇蚃袀芅葿蕿衿莈節(jié)袇袈肇蒈袃袈芀芁