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复旦大学 2018 年本科外国 ... - fso.fudan.edu.cn

1 2018 1 55% 15% 25% 5% 2 60% 40% 3 150 150 1 1 2 3 4 5 2 6 7 2 1 2 3 3 1 2 n 3 1 4 1 2 5 1

1 复旦大学2018年本科外国留学生入学考试大纲 数 学 一、考试要求 考试对象为报考复旦大学的外国留学生,为复旦大学各院系录取新生提供考生知识能力

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Transcription of 复旦大学 2018 年本科外国 ... - fso.fudan.edu.cn

1 1 2018 1 55% 15% 25% 5% 2 60% 40% 3 150 150 1 1 2 3 4 5 2 6 7 2 1 2 3 3 1 2 n 3 1 4 1 2 5 1 2 6 1 2 7 1 2 3 4 3 5

2 N k 8 1 2 3 4 9 1 2 sin()y Ax sinyx sin()y Ax 10 1 2 11 1 2 3 4 5 12 13 4 14 15 16 150 :_____.

3 _____ 4 48 1 1 0 ,2, 1, 0,1Ax xB ()RC AB A 2, 1 B 2 C 1, 0,1 D 0,1 2 2(2)(izii z A 25 B 41 C 5 D 5 3 A 23 B 25 C 35 D 910 4 28yx 30xy A 23 B 2 C 3 D 1 5 222x A ( 1,1) B ( 2, 2) C ( 1, 0) (0,1) D ( 2, 0) (0, 2) 6 04 22122:1sincosxyC 22222:1cossinyxC A B C D 7 2( ) ln( 1 93 ) 1f xxx 1(lg 5)(lg )5ff A 1 B 0 C 1 D 2 5 8 357log 6,log 10,log 14abc A c b a B b c a C a c b D abc 9 ( 1,1), (1, 2), ( 2, 1), (3, 4)ABCD , AB CD A 322 B 3 152 C 322 D 3 152 10 6260126(1 2 ))

4 Xaa x a xa x 0126aaaa A 1 B 64 C 243 D 729 11 1,0()1,0xfxx (1) 1xf x A [ 1,) B (,1] C [ 1,1] D [1, 2] 12 2222:1(0)xyCa bab F C ,AB ,AF BF . 410,8, cos5 ABBFABF , C A 35 B 57 C 67 D 45 5 40 13 n 1, 2,,n 5 114 _____n 14 131331 3xx _____ 15 ABC ,,A B C ,,abc 1sin cossin cos2aBC cBAb ab B _____ 16 1 1 1 ABC A B C 6 O 3,4 ABAC AB AC ,112AA O _____ 17 73sin,( ,)252 tan()4 _____ 18 222(0)xyR R 134xy R _____ 19 2( )4 ,[ , 5]f xxx xm [ 5, 4] m 6 _____ 20 a ()yf x R 0x 2( ) 97af xxx ( )

5 1f xa 0x a _____ 5 62 21 12 :11,p x Ax ax ax R 2:43 0,q x Bx xxx R . 1 ,A BA B R , a 2 q q p a 22 12 d na 110a 123, 22, 5a aa 1 ,nda 2 0d 123naaaa 23 12 23( )3 sinsincos2f xxxx (0) ()yf x 7 4 1 2 ()fx 3[ ,]2 24 13 2( )(1)f xxxx a 1 1a ( ) 1;fx 2 ()fx R a 3 a ( )( )g xf xx x R a 25 13 2:4E yx F l x A , C E C CO C l ,MN 8 1 C 2 MN.

6 2 2 AFAM AN , C 9 1 A 2 C 3 D 4 D 5 D 6 D 7 D 8 D 9 A 10 D 11 C 12 B 13 8 14 3log 4 15 6 16 132 17 1731 18 3 19 [ 1, 2] 20 8(,]7 21 1 2a 2 1 3221 12aaaaa 22 1 1d 4d 11nan 46nan 2 22121(11)22121110 (12)22nnnnSnnn 23 1 31 cos 21( )3sin 2222xf xx 31cos 2sin 222xx cos(2)6x 2,,442TT ,1 2 ( ) cos(2)6f xx 3[ ,]2x 2[2, 3]666x ()fx 1 ()fx 32 24 1 11x xx 2 22(1)()()(1)()xax ax afxax ax a ()fx R 10 1410aaa 13a 3 2( )(1)g xxxx a x x (1) 0, ( 1) 0gg 0a 2 0a 2()g xxx 2a ()gx 25 1 C (1, 2) 5rOC , 2221(1 1)5 4 12 MNr 2MN 2 2(, )4bCb 42216brb 222()()4bxy b 4216bb 1x 221,122 MNbbybyb 2 AFAM AN ,22(1)(1) 422bbbb 26b 2334r 332r)


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