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1、2023 word 2021 12 3 36.1 3xy2 A 3 B 3 C 3x D 3x 2 A 6 B 6 C 6 D 6 3 A 1 B 2 C 3 D 4 4 2 A 2 B 3 C D 5 3 ABCD CDE 30 DE CF BF A 1 B C D 2 6 10 6 12 6 A 60 B 66 C 68 D 72 2023 word 7 A 3 B 4 C 5 D 6 8 7 36.5 36.3 36.7 36.5 36.7 37.1 37.1 A 36.3 B 36.6 C 0.08 D 0.09 9 ABC ACB 90 M N BC AC CNM 50 P MN P
2、C MN BPC 117 ABP A 22 B 23 C 25 D 27 10 AB DC AC BC CD AD 5 AC 6 ABCD m B O m A 11.4 B 11.6 C 12.4 D 12.6 11 x ax2+bx+c 0 x1 x2 x2 2x1 4b 9ac A 1 B C D 2 12 ACD AD 6 BC 5 AC2 AB AB+BC DAB DCA AD 3AP Q AB PQ 2023 word A B C D 6 4 24.13 4 a b 1 28 2 14 4 2021 3 9100 91000000 15 4 x y xy x2 y2 16 4 6 1
3、2 4 5 350 5 10 360 5 6 13 17 4 ABCD A 60 G AD E BC F H CE GE EHF DGE CF AB 18 4 ABC C 90+C AB D CD 2 AB 2023 word 7 90.19 16 1 2cos45+|20210 2 x 1.12 y 0.68 20 12 100 D 72 A 90 100 a m B 80 89 20 b C 70 79 c 0.3 D 70 10 n 90 100 x 90 x 100 1 a b c 2 2000 90 3 A 1 A 2 1 1 21 12 400 680 A B 150 1 A 4
4、2 1 B 2 6 1 A 2023 word 2 50 80 A B 22 12 M ABC BA BC 6 MC MC M 90 MN 1 MH BC H BC CMH B N AB 2 ABC 30 NC AB MC MN S 23 12 xOy ABC A B y k 0 x 0 AC x AB CB M AC EA 2 B 1 CE 1 1 C E k 2 BE MBE 24 12 ABCD O A CD M OM AD E AD 1 CD 1 1 DBC AMD 2 AD x COM x 3 AOE COD OE 2023 word 25 14 y x2 2x+4 a2 y 2x
5、A B B y C A a P Q O OB 2 t PQ PMQN 1 a t 1 P 2 PMQN t 3 x R 0 0 R M R M R 2023 word 2021 12 3 36.1 3xy2 A 3 B 3 C 3x D 3x 3xy2 3 A 2 A 6 B 6 C 6 D 6 6 D 3 A 1 B 2 C 3 D 4 1 2 3 4 2023 word C 4 2 A 2 B 3 C D 2 2 2 1 2 D 5 3 ABCD CDE 30 DE CF BF A 1 B C D 2 DC CB DCE CBF 90 ASA DCE CBF ABCD FBC DCE 90
6、 CD BC 3 Rt DCE CDE 30 CE DE 2023 word CE x DE 2x DC2+CE2 DE2 32+x2 2x 2 x CE DE CF DOC 90 DCO 60 BCF 90 60 30 CDE DCE CBF CD BC DCE CBF ASA BF CE C 6 10 6 12 6 A 60 B 66 C 68 D 72 x 10 6 12 6 x x 10 x+6 x 10 x+6 12x 6 x 6 10 x+6 10 6+6 66 66 B 7 A 3 B 4 C 5 D 6 4 6 2023 word 4 4 6 4 6 C 8 7 36.5 36
7、.3 36.7 36.5 36.7 37.1 37.1 A 36.3 B 36.6 C 0.08 D 0.09 7 36.5 36.7 37.1 36.5 36.7 37.1 A 7 36.3 36.5 36.5 36.7 36.7 37.1 37.1 36.7 B 36.5+36.3+36.5+36.7+36.7+37.1+37.1 36.7 S2 36.3 36.7 2+2 36.5 36.7 2+2 36.7 36.7 2+2 37.1 36.7 2 0.08 C D C 9 ABC ACB 90 M N BC AC CNM 50 P MN PC MN BPC 117 ABP A 22
8、B 23 C 25 D 27 P MN MP NP CP 2023 word M MG BC M N NG AC N CG MN H GMC ACB CNG 90 CMGN CH CG MN PC MN CP CP1 MN P MN MP NP CP CNM PCN 50 PMN PCM 90 50 40 CPM 180 40 40 100 ABC ABC 45 CPB 117 2023 word BPM 117 100 17 PMC PBM+BPM PBM 40 17 23 ABP 45 23 22 CP1 MN CP CP1 CPP1 CP1P 80 BP1C 117 BP1M 117 8
9、0 37 MBP1 40 37 3 MBP1 MBP A 10 AB DC AC BC CD AD 5 AC 6 ABCD m B O m A 11.4 B 11.6 C 12.4 D 12.6 D DT AC AC J AB T OB D DT AC AC J AB T AD DC 5 DJ AC AJ JC 3 DJ 4 2023 word CD AT DCJ TAJ DJC TJA DCJ TAJ ASA CD AT 5 DJ JT 4 AJT ACB 90 JT BC AJ JC AT TB 5 OA x OD2 AD2 OA2 DT2 OT2 52 x2 82 x+5 2 x 1.4
10、 OB OA+AB 1.4 ABCD m B O m OB 11.4 A 11 x ax2+bx+c 0 x1 x2 x2 2x1 4b 9ac A 1 B C D 2 x1+x2 x2 2x1 3x1 x1 9ac 2b2 4b 9ac 4b 2b2 2 b 1 2+2 4b 9ac 2 x ax2+bx+c 0 x1 x2 x1+x2 x2 2x1 3x1 x1 a+b+c 0 2023 word+c 0 9ac 2b2 4b 9ac 4b 2b2 2 b 1 2+2 2 0 4b 9ac 2 D 12 ACD AD 6 BC 5 AC2 AB AB+BC DAB DCA AD 3AP Q
11、 AB PQ A B C D BD 4 AB BD 4B BH AD H AH AD 3 BH PQ AB PQ DAB DCA BD 4 DAB DCA AC AC2 AB AB+BC 2023 word AB 2 AB AB+BC AB 4 AB BD 4 B BH AD H AH AD 3 BH AD 3AP AD 6 AP 2 PQ AB PQ AQP AHB 90 PAQ BAH APQ ABH PQ A 6 4 24.13 4 a b 1 28 2 152 3 1 28 2 2023 word a b 1 28 3 1 28 2 180 3 152 152 14 4 2021 3
12、9100 91000000 9.1 107 a 10n 1|a|10 n n a n 10 n 1 n 91000000 9.1 107 9.1 107 15 4 x y xy x2 y2 0 x2+y2 x2 y2 x2 y2 x y 2 3 x2 2xy+y2 3 x2 y2 2 x2+y2 2 4x2y2 x2 y2 0 0 16 4 6 12 4 5 350 52023 word 10 360 5 6 13 145 x y 4 5 350 5 10 360 x y x y 5x+5y 0.6 5x+0.7 5y 5 50+5 30 0.6 5 50+0.7 5 30 145 145 1
13、7 4 ABCD A 60 G AD E BC F H CE GE EHF DGE CF AB 4 CG C CM AD AD M CG 2HF 2 AB CD CDM A 60 DM x CD 2x CM Rt CMG CG 2 x CG C CM AD AD M F H CE GE 2023 word FH CEG HF CG ABCD AD BC AB CD DGE E EHF DGE E EHF HF EF CF CG 2HF 2 AB CD CDM A 60 DM x CD 2x CM G AD DG x Rt CMG CG 2 x 2 AB CD 2x 4 4 18 4 ABC C
14、 90+C AB D CD 2 AB 3 C AB D CD 2 DE EC CF FD 2 AC BC C 90 C AB D CD 2 DE EC CF FD 2 tanA tanB+2023 word+AC2+BC2 AB2 Rt ADE AE Rt BDF BF AC BC 2+2+4 1+1 4 2+18 AB2 45 AB 3 3 7 90.19 16 1 2cos45+|20210 2 x 1.12 y 0.68 1 2 1 2+1 2023 word 1 2 x 1.12 y 0.68 2 20 12 100 D 72 A 90 100 a m B 80 89 20 b C 7
15、0 79 c 0.3 D 70 10 n 90 100 x 90 x 100 1 a 5 b 0.4 c 15 2 2000 90 3 A 1 A 2 1 1 2023 word 1 D 72 D 10 b c a 2 3 10 1 1 6 1 10 72 360 50 b 20 50 0.4 c 50 0.3 15 a 50 20+15+10 5 5 0.4 15 2 90 100 5 50 90 100 y y 200 3 1 2 A 2 3 2 1 2 3 1 2 3 2 1 2 1 1 1 2 1 3 2 1 2 2 2 3 1 2 1 3 2 3 10 1 1 6 P 1 1 21
16、12 400 680 A B 150 1 A 4 2 1 B 2 6 1 A 2 50 80 A B 2023 word 1 A x B 150 x 400 680 2 y y x 1 A x B 150 x 50 x 55 x x 50 51 52 53 54 55 A 50 51 52 53 54 55 2 y y 504x+2 150 x+8 2x+6 150 x y 220 x+87000 220 0 y x x 50 y 220 50+87000 76000 A B 50 100 76000 22 12 M ABC BA BC 6 MC MC M 90 MN 1 MH BC H BC
17、 CMH B N AB 2 ABC 30 NC AB MC MN S 1 CMH B CMH+C 90 B+C 90 BMC 90 2 CD AB D BCM MC 2023 word 1 N AB CMH B CMH+C 90 B+C 90 BMC 90 CM AB CM 90 BA N AB 2 CD AB D MC MN CMN 90 MCN 45 NC AB BMC 45 BC 6 B 30 CD 3 MC S MC2 18 MC MN S 18 23 12 xOy ABC A B y k 0 x 0 AC x AB CB M AC EA 2 B 1 CE 1 1 C E k 2 BE
18、 MBE 2023 word 1 A 2 B 1 k A B AC x ABC C 2 C 1 C CE 1 E EM AB AE BE k 2 1 k A B AB BD BDM BCA BM MBE 1 A 2 B 1 k AC x ACB C 1 2 CE 1 E 2 2 E AB EA EB Rt BCE EB2 BC2+CE2 1+k 2 2 k 2 k 2 A B C k C 1 2 E 2 2 k 2 1 AC BC CE 1 2023 word AB D AB BD ABC MBD BDM BCA 90 BDM BCA BM S MBE 1 24 12 ABCD O A CD
19、M OM AD E AD 1 CD 1 1 DBC AMD 2 AD x COM x 3 AOE COD OE 2023 word 1 MAD BAC BDC 2 ADC MAD DM CM CM 3 OB MA G AM AG AM AG x OE 1 1 AM O OA AM CAM 90 MAD+DAC 90 ABCD ABC BCD ADC 90 BAC+DAC 90 MAD BAC BAC BDC MAD BDC MAD BDC 90 DBC AMD 2 2 2023 word CD N ON ABCD AO CO ON AD ON CNA ADC 90 ON CM 1 DBC AM
20、D DM x2 CM DM+CD x2+1 S COM CM ON x2+1 3 3 2023 word DF AC F DB MA G Rt ADC AD x CD 1 AC OD OC AC DF CF OF OC CF DF AG DOF GOA AG 2023 word AG2 Rt ACM AM2 DM MC x2 x2+1 AOE COD AOG COD AOE AOG OA OA OAM OAG AOM AOG ASA AG AM x2 x2+1 x1 x2 AD OD DF OF EH OA H OE a EH OE sin AOE a sin DOF a a OH a AH
21、a a AH+OH OA a+a 2023 word OE 25 14 y x2 2x+4 a2 y 2x A B B y C A a P Q O OB 2 t PQ PMQN 1 a t 1 P 2 PMQN t 3 x R 0 0 R M R M R 1 A a 2a y x2 2x+4 a2 a t 1 OP P x y 2 t OP t OQ 2 t P 1 2t Q 2t 4t M 2t 2t N t 4t M 2t 2t y x2 2x+2 2t2+t 1 0 N 1 4t y x2 2x+2 t 1 2 3 3 R m n R R m n M M 1 1 R M S 3 RM n
22、 RM 1 A a 2a y x2 2x+4 a2 a 2023 word y x2 2x+2 t 1 OP P x y P 1 2 2 t OP t OQ 2 t 1 P 1 2t Q 2t 4t PMQN M 2t 2t N t 4t PMQN OB M 1 2 N 2 M 2t 2t y x2 2x+2 2t2+t 1 0 t t 1 N 1 4t y x2 2x+2 t 1 2 3 t 1+t 1 PMQN t t 1+3 R m n R R m n M M 1 1 R M S 3 RM n m2 2m+2 m+1 2 3 n m RM 2023 word n RM n m2 2m+2 m 1 R 1 2023 word