1、H?P“ 2021 ccc?III)?mmm (mmm) 2021 ccc?IIIpppmmm KKK(A) 6c? !WWWKKK?KKK? 8 ?KKK, zzz?KKK 8 , 64 . 1. ? an v a2021= a20+ a21= 1, K a1?. 2. ?8 A = 1,2,m, m . - B = n a2| a A o , C = A B. e C ?k? 6, K C ?k?. 3. ? f(x) v: ? x, k f(x) = f(1) x+ f(2) x 1, K f(x) 3 (0,+) ? . 4. ? f(x) = cos x + log2x(x 0),
2、e? a v f(a) = f(2a), K f(2a) f(4a) ? . 5. 3 4ABC , AB = 1, AC = 2, B C = 2 3 , K 4ABC ?. 6. 3?IX xOy , : y2= 2px (p 0) ?: F, L : P (u O ) ?, y ?u: Q. e |FP| = 2, |FQ| = 1, K OP OQ ?. 7. /!?N?f, 8OIk: 1,2,3,4,5,6. /T?fng (g ?(Jp), ?:g a1,a2,a3, K “|a1 a2| + |a2 a3| + |a3 a1| = 60u)? V. 8. ?kn r = p q
3、 (0,1), p,q p?, pq ? 3600. ?kn r ? . 1 H?P“ ?!)KKK?KKK? 3 ?KKK, 56 . )AAA?iii!yyyLLL. 9. (?K 16 ) E? zn v: z1= 3 2 ,zn+1= zn(1 + zni)(n = 1,2,.) i J . z2021?. 2 H?P“ 10. (?K 20 ) 3?IX, y = x+1 |x|+1 ?”kn?: u l , n:?I 0. l ?. 3 H?P“ 11. (?K 20 ) X, ?N ABCD EFGH ?c 2, 3?/ ABFE ?S? ?: P1, 3?/ BCGF ?S?:
4、 P2, 3?/ EFGH ?S?: P3. |P1P2| + |P2P3| + |P3P1| ?. 4 H?P“ 2021 ccc?III)?mmm (mmm) 2021 ccc?IIIpppmmm KKK (A ) .(?KKK 40 ) ? k (k 2) k a1,a2,.,ak. y: kk k ?| (n1,n2,.,nk), v n1,n2,.,nkp, a1 n1! + a2 n2! + + ak nk! = 0. 5 H?P“ ?.(?KKK 40 ) X, 3 4ABC , M AC ?:, D,E 4ABC ?3: A ?:, v MDkAB, A DE ?:, L A, B,E n:? AC ?u, : P, L A,D,P n:? DM ?u: Q. y: BCQ = BAC. (KKKxxx333) 6 H?P“ nnn.(?KKK 50 ) ? n 4. ye n ? 2n 2, K 2n2 n . 7 H?P“ ooo.(?KKK 50 ) ke5? c: ? n 4, 98 A 1,2,.,n, e |A| cn, K3 f : A 1,1, v ? ? ? ? ? ? ? X aA f(a) a ? ? ? ? ? ? ? 1. 8
