1、 2018 2017 2018 24 8 3 18 6 3 9 20 % 10 40 11 8 512 30 2 20 78 6 xx 2 30 20 6 78 30 2 20 2 x x x 13 4 2514 16 3 4 15 3 1 74 9 16 10 5 1 2 5 2 3 xx 2 3 5 2 0 xx 1 3 a 5 b 2 c 2 2 = 4 5 4 3 2 49 0 b ac 2 2 4 5 7 26 b b ac x a 4 1 2 x 2 1 3 x 5 2 2 9 19 0 xx 2 9 19 xx 2 81 81 9 + 19+ 44 xx 2 95 24 x 3
2、95 22 x 4 1 95 2 x 2 95 2 x 5 1 2 3 4 5 6 7 8 D B B C D A C D 17 6 4 P( ) = 3 8 6 18 6 AD BC ADB= CDA=90 B+ BAD=90 BAC=90 CAD+ BAD=90 B= CAD ABD CAD 4 BD AD AD CD 5 BD=3 CD=6 2 3 6 18 AD BD CD 32 AD 6 19 6 AC DAB DAC= CAB AD=4 AC=26 AB=6 42 2 6 6 AD AC 2 6 2 6 6 AC AB AD AC AC AB ADC ACB 5 ACB= ADC=
3、90 6 20 8 x 10 6 300 60 1350 2 x x 4 2 26 165 0 xx 1 11 x 2 15 x 6 11 x 11 10 6 300 60 900 2 11 x 7 15 x A D B C (第18 题) 15 . 8 21 8 1 AECD . 1 AC=BC E AB CE AB 1 2 AE AB 2 DC= 1 2 AB DC=AE DC AB AECD 3 CEA=90 AECD . 4 2 ABC ACB=90 AECD 5 ACB=90 E AB 1 2 CE AB 6 DC= 1 2 AB CD=CE 7 AECD AECD 8 22 8 1
4、 ABCD AB=AD=BC=CD B= C= D=90 1 AEF AE=AF=EF Rt ABE Rt ADF 2 BE=DF BC BE= DC DF CE=CF 3 CEF= CFE=45 4 2 AEF 2 AE=EF=2 C=90 2 2 2 2 2 CE CF EF CE=CF CE= 2 5 x AB=BC=x BE= 2 x Rt ABE (第 21 题) A E B C D A D B C E F (第22 题) 2 22 22 xx 1 2+ 6 2 x 2 26 2 x 7 ABCD 2+ 6 2 . 8 23 10 2 15 3 3 1 2 nn 6 4 x 2 1
5、36 2 xx 1 9 x 2 8 x 9 10 24 12 1 PQ BC AP AQ AB AC 2 AP=10 2t AQ=t AB=10 AC=6 10 2 10 6 tt 30 11 t t 30 11 s PQ BC 4 2 P PN AC N PNA= C=90 A= A APN ABC PN AP BC AB 22 10 6 8 BC 10 2 8 10 PN t 48 10 2 8 55 PN t t S APQ = 2 1 1 8 4 84 2 2 5 5 AQ PN t t t t S ABC= 11 6 8 24 22 AC BC S APQ = 1 5 S ABC A
6、 B C Q P (第24 题) N 2 41 4 = 24 55 tt 1 2 t 2 3 t t 2s 3s 8 3 1 AP=AQ AP=PQ AQ=PQ APQ AP=AQ 10 2tt 10 3 t 9 AQ=PQ Q QM AP M AM=PM= 1 2 AP= 1 10 2 5 2 tt AQM ABC AM AQ AC AB 5 6 10 tt 25 8 t 11 AP=PQ P PN AQ N AN=NQ= 1 2 AQ= 1 2 t APN ABC AN AP AC AB 1 10 2 2 6 10 t t 60 17 t t 10 3 s 60 17 s 25 8 s A
7、PQ 12 2 AP=AQ AP=PQ AQ=PQ APQ AP=AQ 10 2tt 10 3 t 9 AP=PQ 22 AP PQ APN ABC AN AP AC AB A B C Q P (第24 题) N A B C Q P (第24 题) M A B C Q P (第24 题) N 10 2 6 10 AN t 36 10 2 6 55 AN t t 22 2 2 2 2 8 6 37 8 6 = 52 100 5 5 5 PQ PN NQ t t t t t 2 22 10 2 =100 40 4 AP t t t 22 37 52 100=100 40 4 5 t t t t 2 17 12 =0 5 tt 1 60 17 t 2 0 t 11 AQ=PQ 22 AQ PQ 22 37 52 100= 5 t t t 2 8 65 125=0 tt 1 25 8 t 2 5 t t 10 3 s 60 17 s 25 8 s APQ 12