¼¯ºÏµÄº¬Òå¡¢±íʾ¼°¼¯ºÏ¼äµÄ¹ØÏµ °à¼¶ ÐÕÃû
1£®¼¯ºÏ?x?N?1?x???11??µÄÁíÒ»ÖÖ±íʾ·½·¨ÊÇ( ) 2?A£®{0,1,2,3,4} B£®{1,2,3,4} C£®{0,1,2,3,4,5} D£®{1,2,3,4,5} 2£®´óÓÚ4µÄËùÓÐÆæÊý¹¹³ÉµÄ¼¯ºÏ¿ÉÓÃÃèÊö·¨±íʾΪ( )
A£®{x|x£½2k£1£¬k¡ÊN} B£®{x|x£½2k£1£¬k¡ÊN£¬k¡Ý2} C£®{x|x£½2k£«1£¬k¡ÊN} D£®{x|x£½2k£«1£¬k¡ÊN£¬k¡Ý2} 3.Èô¼¯ºÏA={x|x=n,n¡ÊN},B=
}£¬Ôò¼¯ºÏAÓëBµÄ¹ØÏµÊÇ£¨ £©
A.AB B.BA C.A=B D.A¡ÊB
4.ÒÑÖª¼¯ºÏA={0,2,3}£¬B={x|x=ab,a,b¡ÊA}£¬Ôò¼¯ºÏBµÄ×Ó¼¯ÓÐ( )
A.4¸ö B.8¸ö C.15¸ö
D.16¸ö
5£®¶¨Ò弯ºÏÔËË㣺AB£½{z|z£½xy£¬x¡ÊA£¬y¡ÊB}£®ÉèA£½{1,2}£¬B£½{0,2}£¬Ôò¼¯ºÏAµÄËùÓÐÔªËØÖ®ºÍΪ( )
A£®0 B£®2 C£®3 D£®6
6.ÒÑÖª¼¯ºÏM£¬NÊǼ¯ºÏUµÄÕæ×Ó¼¯£¬ÔòÕýÈ·±íʾ¼¯ºÏM={-1£¬0£¬1}ºÍN={x|µÄVennͼÊÇ ( )
B+x=0}¹ØÏµ
7.·Ç¿Õ¼¯ºÏPÂú×ãÁ½¸öÌõ¼þ£º¢ÙP {1,2,3,4,5};¢ÚÈôa¡ÊP,Ôò6-a¡ÊP.¼¯ºÏPµÄ¸öÊýÊÇ( )
A.5 B.6 C.7 D.8 8£®ÒÑÖª¼¯ºÏ M?{x|x?m?1n1,m?Z}£¬N?{x|x??,n?Z}£¬ 623£¨ £©
P?{x|x?p1?,p?Z}£¬ÔòM,N,PµÄ¹ØÏµ 26P B£®MA£®M?NN?P C£®M2NP D£® NPM
9£®ÈôA?{?2,2,3,4}£¬B?{x|x?t,t?A}£¬ÓÃÁоٷ¨±íʾB . 10.ÒÑÖªAB£¬ÇÒAC£¬B={0,1,2,3}£¬C={0,2,4,8}£¬ÔòÂú×ãÉÏÊöÌõ¼þµÄ¼¯ºÏAΪ .
11£®ÒÑÖª¼¯ºÏA£½{1,2,3}£¬B£½{1,2}£¬C£½{(x£¬y)|x¡ÊA£¬y¡ÊB}£¬ÓÃÁоٷ¨±íʾ¼¯ºÏC£½_____.
12. ÒÑÖªA?{1,2,3,4}£¬ÇÒAÖÐÖÁÉÙÓÐÒ»¸öżÊý£¬ÔòÕâÑùµÄ¼¯ºÏAÓÐ ¸ö
13£®µ±x¡ÊAʱ£¬Èôx£1?A£¬ÇÒx£«1?A£¬Ôò³ÆxΪAµÄÒ»¸ö¡°¹ÂÁ¢ÔªËØ¡±£¬ËùÓйÂÁ¢ÔªËØ×é³ÉµÄ¼¯ºÏ³ÆÖ®Îª¡°¹ÂÐǼ¯¡±£¬Ôò¼¯ºÏA£½{0,1,2,3,5}ÖС°¹ÂÁ¢ÔªËØ¡±×é³ÉµÄ¡°¹ÂÐǼ¯¡±Îª__________£®
14.º¬ÓÐÈý¸öʵÊýµÄ¼¯ºÏ¼È¿É±íʾ³É{a,3a200?b2004? . b,1}£¬Óֿɱíʾ³É{a2,a?b,0}£¬Ôòa15£®ÒÑÖª¼¯ºÏ{a£¬b£¬c}£½{0£¬1£¬2}£¬ÇÒÏÂÁÐÈý¸ö¹ØÏµ£º¢Ùa¡Ù2£»¢Úb£½2£»¢Ûc¡Ù0ÓÐÇÒÖ»ÓÐÒ»¸öÕýÈ·£¬Ôò100a£«10b£«cµÈÓÚ________£®
16£®ÒÑÖª¼¯ºÏA£½{x|kx£8x£«16£½0}Ö»ÓÐÒ»¸öÔªËØ£¬ÊÔÇóʵÊýkµÄÖµ£¬²¢ÓÃÁоٷ¨±íʾ¼¯ºÏA£®
17..Èô¼¯ºÏA={1,A?C
18£®ÒÑÖªA£½{x|-2¡Üx¡Ü5}£¬B£½{x|m+1¡Üx¡Ü2m-1}£¬B?A£¬ÔòmµÄȡֵ·¶Î§
-1,4}£¨a¡ÊN£©£¬ B={1,2,3,4,5}£¬ÆäÖÐA?B. (1)ÇóaµÄÖµ£»(2)Âú×ã
2
BÕâÑùµÄ¼¯ºÏC¹²Óм¸¸ö?ÊÔ½«ÕâÑùµÄ¼¯ºÏC¶¼Ð´³öÀ´.
¼¯ºÏµÄº¬Òå¡¢±íʾ¼°¼¯ºÏ¼äµÄ¹ØÏµ °à¼¶ ÐÕÃû
2.Èô¼¯ºÏA={x|x=n,n¡ÊN},B=
}£¬Ôò¼¯ºÏAÓëBµÄ¹ØÏµÊÇ£¨ £©
A.AB B.BA C.A=B D.A¡ÊB
3.ÒÑÖª¼¯ºÏA={0,2,3}£¬B={x|x=ab,a,b¡ÊA}£¬Ôò¼¯ºÏBµÄ×Ó¼¯ÓÐ( ) A.4¸ö B.8¸ö C.15¸ö
D.16¸ö
+x=0}¹ØÏµµÄ
4.ÒÑÖª¼¯ºÏM£¬NÊǼ¯ºÏUµÄÕæ×Ó¼¯£¬ÔòÕýÈ·±íʾ¼¯ºÏM={-1£¬0£¬1}ºÍN={x|VennͼÊÇ ( )
5.·Ç¿Õ¼¯ºÏPÂú×ãÁ½¸öÌõ¼þ£º¢ÙPA.5 6.ÒÑÖªA
{1,2,3,4,5};¢ÚÈôa¡ÊP,Ôò6-a¡ÊP.¼¯ºÏPµÄ¸öÊýÊÇ( )
B.6 C.7 D.8 B£¬ÇÒA
C£¬B={0,1,2,3}£¬C={0,2,4,8}£¬ÔòÂú×ãÉÏÊöÌõ¼þµÄ¼¯ºÏAΪ . 7.ÒÑÖªA?{1,2,3,4}£¬ÇÒAÖÐÖÁÉÙÓÐÒ»¸öżÊý£¬ÔòÕâÑùµÄ¼¯ºÏAÓÐ ¸ö. 8.ÒÑÖªA£½{x|-2¡Üx¡Ü5}£¬B£½{x|m+1¡Üx¡Ü2m-1}£¬B?A£¬ÔòmµÄֵΪ . 10.Èô¼¯ºÏA={1,(1)ÇóaµÄÖµ.
À´Ô´: ]
-1,4}£¨a¡ÊN£©£¬ B={1,2,3,4,5}£¬ÆäÖÐA?B.
(2)Âú×ãA?CBÕâÑùµÄ¼¯ºÏC¹²Óм¸¸ö?ÊÔ½«ÕâÑùµÄ¼¯ºÏC¶¼Ð´³öÀ´.
£¬ËùÒÔA
B.
2.A ½âÎö£ºÒòΪA={0,1,2,3,?},B=
3.D ½âÎö£º²»ÒªºöÂÔa=bµÄÇéÐΣ¬¼¯ºÏB={0,4,6,9}£¬ËùÒÔ¼¯ºÏB¹²ÓÐ=16£¨¸ö£©×Ó¼¯. 4.B ½âÎö£ºÒòΪ¼¯ºÏN={0,-1}£¬ËùÒÔN
M£¬¹Ê´ð°¸ÎªB.
5.B ½âÎö£º¸ù¾ÝÌâÒ⣬¼¯ºÏPµÄËùÓÐÇé¿öÓÐ{3},{1,5},{2,4},{1,3,5},{2,3,4},{1,2,3,4,5}£¬¹²6¸ö.
À´Ô´:]
6. »ò{0}»ò{2}»ò{0,2} ½âÎö£ºÓÉA»ò{2}»ò{0,2}.
B£¬ÇÒAC£¬Öª¼¯ºÏAÊǼ¯ºÏ{0,2}µÄ×Ó¼¯£¬Óлò{0}
7.12 ½âÎö£ºÓÉÌõ¼þ£¬¼¯ºÏAÖпɺ¬ÓÐ2»ò4ÖеÄÒ»¸ö£¬Ò²¿ÉÒÔͬʱº¬ÓÐ2ºÍ4.
ËùÒÔ¼¯ºÏA¿ÉΪ{2},{1,2},{2,3},{2,4},{1,2,3},{1,2,4},{2,3,4},{1,2,3,4}£¬{4},{1,4},{3,4},{1,3,4}£¬¹²12¸ö.
8.m¡Ü3 ½âÎö£ºÐèÒª¶Ô¼¯ºÏB½øÐÐÌÖÂÛ£º
¢Ùµ±B£½Ê±£¬?A£¬·ûºÏÌâÒ⣬´Ëʱm+1>2m-1,½âµÃm<2.
¢Úµ±B¡Ùʱ£¬Èçͼ,ÓÉÌâÒâ½áºÏÊýÖáµÃ£º
½âµÃ2¡Üm¡Ü3.
×ۺϢ٢ÚÖª£¬mµÄȡֵ·¶Î§ÊÇm¡Ü3. 10.½â£º(1) ¡ß A?B£¬¡à
-1=2»ò
-1=3»ò
-1=5£¬¡ß a¡ÊN£¬¡à a=2.
(2) ÕâÑùA={1,3,4}£¬Âú×ã{1,3,4}?C{1,3,4,5}.
6£®ÒÑÖª¼¯ºÏ M?{x|x?m?{1,2,3,4,5}µÄ¼¯ºÏC¹²ÓÐ3¸ö,·Ö±ðÊÇ£º{1,3,4}£¬{1,2,3,4}£¬
1n1,m?Z}£¬N?{x|x??,n?Z}£¬ 623£¨ £©
P?{x|x?A£®M?Np1?,p?Z}£¬ÔòM,N,PµÄ¹ØÏµ 26P B£®MN?P C£®MNP D£® NPM
11£®ÈôA?{?2,2,3,4}£¬B?{x|x?t2,t?A}£¬ÓÃÁоٷ¨±íʾB . 13£®º¬ÓÐÈý¸öʵÊýµÄ¼¯ºÏ¼È¿É±íʾ³É{a,b,1}£¬Óֿɱíʾ³É{a2,a?b,0}£¬Ôòaa2003?b2004? . 6.B
11£®{4£¬9£¬16} 13£®£1
1£®¼¯ºÏ?x?N?1?x???11??µÄÁíÒ»ÖÖ±íʾ·½·¨ÊÇ( ) 2?A£®{0,1,2,3,4} B£®{1,2,3,4}
C£®{0,1,2,3,4,5} D£®{1,2,3,4,5}
2£®´óÓÚ4µÄËùÓÐÆæÊý¹¹³ÉµÄ¼¯ºÏ¿ÉÓÃÃèÊö·¨±íʾΪ( ) A£®{x|x£½2k£1£¬k¡ÊN}
B£®{x|x£½2k£1£¬k¡ÊN£¬k¡Ý2} C£®{x|x£½2k£«1£¬k¡ÊN}
D£®{x|x£½2k£«1£¬k¡ÊN£¬k¡Ý2}
5£®¶¨Ò弯ºÏÔËË㣺AB£½{z|z£½xy£¬x¡ÊA£¬y¡ÊB}£®ÉèA£½{1,2}£¬B£½{0,2}£¬Ôò¼¯ºÏABµÄËùÓÐÔªËØÖ®ºÍΪ( )
A£®0 B£®2 C£®3 D£®6
6£®µ±x¡ÊAʱ£¬Èôx£1?A£¬ÇÒx£«1?A£¬Ôò³ÆxΪAµÄÒ»¸ö¡°¹ÂÁ¢ÔªËØ¡±£¬ËùÓйÂÁ¢ÔªËØ×é³ÉµÄ¼¯ºÏ³ÆÖ®Îª¡°¹ÂÐǼ¯¡±£¬Ôò¼¯ºÏA£½{0,1,2,3,5}ÖС°¹ÂÁ¢ÔªËØ¡±×é³ÉµÄ¡°¹ÂÐǼ¯¡±Îª__________£®
7£®ÒÑÖª¼¯ºÏA£½{1,2,3}£¬B£½{1,2}£¬C£½{(x£¬y)|x¡ÊA£¬y¡ÊB}£¬ÓÃÁоٷ¨±íʾ¼¯ºÏC£½______________.
10£®ÒÑÖª¼¯ºÏA£½{x|kx2£8x£«16£½0}Ö»ÓÐÒ»¸öÔªËØ£¬ÊÔÇóʵÊýkµÄÖµ£¬²¢ÓÃÁоٷ¨±íʾ¼¯ºÏA£®
5´ð°¸£ºD 6´ð°¸£º{5}
7´ð°¸£º{(1,1)£¬(1,2)£¬(2,1)£¬(2,2)£¬(3,1)£¬(3,2)} 10´ð°¸£º½â£ºµ±k£½0ʱ£¬Ô·½³Ì±äΪ£8x£«16£½0£¬ ËùÒÔx£½2£¬´Ëʱ¼¯ºÏA£½{2}£»
µ±k¡Ù0ʱ£¬ÒªÊ¹Ò»Ôª¶þ´Î·½³Ìkx2£8x£«16£½0ÓÐÁ½¸öÏàµÈµÄʵ¸ù£¬ Ð覤£½64£64k£½0£¬¼´k£½1.
´Ëʱ·½³ÌµÄ½âΪx1£½x2£½4£¬¼¯ºÏA£½{4}£® ËùÒÔ£¬k£½0ʱ£¬A£½{2}£»k£½1ʱ£¬A£½{4}£® 16£®£¬[2014¡¤¸£½¨¾í] ÒÑÖª¼¯ºÏ{a£¬b£¬c}£½{0£¬1£¬2}£¬ÇÒÏÂÁÐÈý¸ö¹ØÏµ£º¢Ùa¡Ù2£»¢Úb£½2£»¢Ûc¡Ù0ÓÐÇÒÖ»ÓÐÒ»¸öÕýÈ·£¬Ôò100a£«10b£«cµÈÓÚ________£®