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1、 O y 6 C 2019c Ip m m m K O 123 E 555 1 K 120 2 g K C 3 U O 4 m U 6 n WWW KKK K 8 K z K8 64 r YW3 1 8 U 1 2 3 4 5 6 7 8 A 1 2 3 4 5 B 4 5 6 7 8 K 8 U f8 8 A f8 8 B f8 8 A B U A B 4 5 vK 8 3 1 2 3 3 6 7 8 8 4 5 u vK 8 k 23 1 23 1 22 196 8 U f8 28 8 A 8 B f8 25 25 22 v 8 28 25 25 22 196 2 n e 1 2 n T
2、u n Tn z i K k U n 1 2 n aaa z n n 1 2 111 a du 111 3 37 37 n n 1 k 37 2d 1 2 n 1000 n 45 d n 36 37 O 1 2 36 666 1 2 37 703 n 36 2019 c Ip m m m 11 6 3 x y z v x y xy 8 y z yz 15 z x zx 35 K x y z xy d x y xy 8 x y xy 1 9 1 x 1 y 9 1 n 1 y 1 z 16 1 z 1 x 36 2 1 2 1 x 1 y 1 z 3 4 6 3 d 1 3 z 7 n x 7
3、2 y 1 l x y z xy 15 4 d 0 1 8 i i V n vK 8 1 3 1 l 3 1 U 1 2 3 4 5 1 e i k 1 1 3 0 k C0 3 C1 4 4 U ii k 2 1 2 0 k C1 3 C2 4 18 U iii k 3 1 1 0 k C2 3 C3 4 12 U iv k 4 1 k C3 3 C4 4 1 U O k 4 18 12 1 35 v g n q 0 1 8 k 27 128 l V 35 128 5 1 sinx cosx 22 7 1 cosx sinx m n m n K m n 5 sinx 2sin x 2 cos
4、 x 2 cosx cos 2 x 2 sin2 x 2 1 cos2 x 2 sin2 x 2 d 1 sinx cosx 22 7 1 sinx cosx cos 2 x 2 sin 2 x 2 2sin x 2 cos x 2 cos2 x 2 sin 2 x 2 cos x 2 sin x 2 cos x 2 sin x 2 22 7 15cos x 2 29sin x 2 u m n 1 cosx sinx 1 2cos2 x 2 1 2sin x 2 cos x 2 cos x 2 sin x 2 29 15 l m n 29 15 44 2019 c Ip m m m 12 6
5、6 P x L x e A 7 8 72 8 7 2019 8 7 2020 8 K A 50 5 7 2k 1 8 72k 8 U 72k 1 2 7 2k 1 8 1 7 2k 8 1 7 2k 1 8 7 2k 8 72k 1 8 72k 8 72k 1 k k 7 2k 1 8 7 2k 8 72k 1 1 7 72k 2 1 7 49 k 1 1 7 50 1 k 1 1 7 1 k 1 1 mod 50 l A 7 1010 1 1 1010 40 mod 50 7 150 324 375 Nd 1 1 1 N 3 K T N BL N l m 151 p 1 l 1 k 151
6、150 l e lc l 1 q O k 150 324 375 150 324 324 375 375 150 150 324 375 768 N n 768 z u N BL 768 N 5 a b P a b a b 8 2 3 2 9 4 9 6 9 8 9 2 27 4 27 26 27 2 3n 4 3n 3n 1 3n o 2020 2187 T 1 K 1 1 2 3 1 2 9 4 9 6 9 8 9 1n 2 27 4 27 24 27 26 27 1 n 2 3n 4 3n 3n 1 3n q 2187 37 36 2020 37 2020 2187 3 1 7 e O
7、c 6 k 1 2 31 1 32 1 33 1 34 1 35 1 36 1 1 2 h 3 36 1 3 1 6 i 543 q 2020 2187 1 7 1 1010 2020 2187 1 543 1010 1553 2019 c Ip m m m 13 6 KKK K 3 K 11K16 12 3K 20 56 0 X F0 E m 3 Rt4MAF cos MFA AF MF k MF AF cos MFA 3 Rt4NBF nk NF BF cos NFB k MN MF NF AF cos MFA BF cos NFB AB cos 4 BF0 3 4FBF0 P BF x
8、K BF0 2 3 x d u n BF0 2 BF 2 FF0 2 2 BF FF0 cos 2 3 x 2 x2 2 2 2 2x 2 2 cos k x 1 3 2cos BF 1 3 2cos 5 nk AF 1 3 2cos 6 d 5 6 AB 1 3 2cos 1 3 2cos 2 3 3 2cos2 d 4 MN 2 3 3 2cos2 cos f 3 2cos2 24cos2 K f 3 2cos2 3 2cos2 4cos2 3 2cos2 3 2cos2 4cos2 3 3 p 3 2cos2 24cos2 3 2cos2 24cos2 8 3 2cos2 4cos2 4
9、 4 f max 4 l 4 MN min 6 2019 c Ip m m m 14 6 a1 a2 an 1 v 1 1 a1 1 1 a2 1 1 an 2 1 1 a0 a0 a1 a2 an k U dK 0 i n k ai 2 u k 2 2 1 1 a0 1 1 a1 1 1 a2 1 1 an n 2 n 1 l 2a1 a0a1 a0 2a0 a1 a0 a0 a1g ii n 2 k 2 a0 1 a1 1 a2 du a0 a1 a2 1 1 a0 1 a1 1 a0 1 3 1 4 1 5 1 2 1 4 1 5 1 6 l 3 a1 6 a1 4 a0 24 a1 5
10、 a0 60 n a0 a1 a2 an k U 24 4 3 2 60 5 3 2 2019 c Ip m m m 15 6 C 3 0 a b x1 x2 x3 x4 a b x2 1 x2 x2 2 x3 x2 3 x4 x2 4 x1 x1 x2 x3 x4 i x1 x2 x3 x4 a b 0 a b k x2 1 x2 x2 2 q x2 1 x2 x2 2x1 x2 2 x3 x3 2 q x2 2 x3 x3 2x2 x2 3 x4 x4 2 q x2 3 x4 x4 2x3 x2 4 x1 x1 2 q x2 4 x1 x1 2x4 l k x2 1 x2 x2 2 x3
11、x2 3 x4 x2 4 x1 x1 x2 x3 x4 x1 x2 x3 x4 u x1 x2 x3 x4 x2 1 x2 x2 2 x3 x2 3 x4 x2 4 x1 x1 x2 x3 x4 1 ii x1 x2 x3 x4 a b 0 a b xi xi 1 a b b a x5 x1 5 r x2 i xi 1 x i 1 xi xi 1 u k a b r x2 i xi 1 x i 1 b a l s x2 i xi 1 a b x i 1 s x2 i xi 1 b a x i 1 0 x2 i xi 1 a b b a xi xi 1 0 k 1 i 4 k x2 i xi 1
12、 a b b a xi xi 1 x5 x1 l k x2 1 x2 x2 2 x3 x2 3 x4 x2 4 x1 b a a b 1 x1 x2 x3 x4 u x2 1 x2 x2 2 x3 x2 3 x4 x2 4 x1 x1 x2 x3 x4 b a a b 1 x1 a x2 b x3 a x4 b x1 b x2 a x3 b x4 a x2 1 x2 x2 2 x3 x2 3 x4 x2 4 x1 x1 x2 x3 x4 b a a b 1 n x2 1 x2 x2 2 x3 x2 3 x4 x2 4 x1 x1 x2 x3 x4 O 1 b a a b 1 2019 c Ip m m m 16 6 资料下载来源 全国高中奥数教练群195949359 全国高中奥数学生群 591782992 要进 5000G网课视频共享群 的到自助QQ 763491846的空间日志里查看 空间里有全部学科的资料群
