2017年武汉市四调数学答案解析

20162017? ?，? ? ? ? 1720 ? 2122 ? 23 ? 24 ? ?(? 10 ?，? 3 ?，? 30 ?) 1.?16?( ) A2 B?4 C4 D8 2.? 2 1 +x ?， ?x?( ) Ax?2 Bx?2 Cx?0 Dx?2 3.?x8?( ) Ax?x7 Bx16?x2 Cx16?x2 D(x4)4 4.?A?，?；?B?，?，? ( ) A?A?B? B?A?，?B? C?A?，?B? D?A?B? 5.?(a+3)(a?3)?( ) Aa2?6a+9 Ba2+9 Ca2?9 Da2?6a?9 6.?A(?1，4)?x?( ) A(1，4) B(?1，?4) C(1，?4) D(4，?1) 7.? 6 ?，?，? ?，?( ) B 8.? 15 ? ?/m 1.50 1.60 1.65 1.70 1.75 1.80 ? 2 3 2 3 4 1 ?( ) A1.70?1.75 B1.70?1.80 C1.65?1.75 D1.65?1.80 9.? 5?5 ?，? 1，?，? ?，?m，?n，?m?n?( ) A0 B0.5 C?0.5 D0.75 10.?x?y?(x?h)2+3，? 1?x?3 ?，? 2h，?h?( ) A 2 3 B 2 3 ? 2 C 2 3 ? 6 D2? 2 3 ? 6 ? ? ? ?(? 6 ?，? 3 ?，? 18 ?) 11.?8+(?5)? 12.? 1 1 1 xx x ? 13.?，? 1 ? 2 ?，?.? ?，?，? 5 9 14.?，?ABCD?，E?AB?，?CBE?CE?CFE，?AF.? EAF?70?，?BCF? 15.? 60?38，?3 16.?ABCD，?ABC?45?，?C?D?90?，? 30?(?P?30?)?PMN(? ?)?，?MN?BC，?M?N?AD?BC?，?NM?Q，?QM ?PB?BC?10，CD?3，?M?A?D?，?Q?7 2 ?(? 8 ?，? 72 ?) 17.(? 8 ?)?6x+1?3(x+1)+4 ?6x+1=3x+3+4 6x3x=3+41 3x=6 x=2 18.(? 8 ?)?，A?D?B?E?，AC?DF，BC?EF，?C?F， ?AD?BE ?ACB?DFE? AC = DF C = F BC = EF ?ACBDFE(SAS) ?AB=DE ?ABBD=DEBD ?AD=BE 19.(? 8 ?)? 5000 ?， ?， ?A?B?C?D?，?，? ? (1) ?，?_? (2) ? (3) ?B? (1) 200 (2) ? (?C?20016%=32 ?) (3) ?B? 78 5000 200 100%=1950(?) 20.(? 8 ?)?，2 ? 3 ? 15.5 t；5 ? 6 ? 35 t (1) ? (2) ? 10 ?，? 30 t，? (1) ?x?y?. ? 2315.5 5635 xy xy += += ?4,2.5xy= ? 4t? 2.5t (2) ?a?，?(10)a?，? 4(10) 2.530aa+ ，? 10 10 3 a?a?， ? 4 ? 21.(? 8 ?)?，?ABCD?AD?A?B?C?O? (1) ?AB?AC (2) ? 2，?DC?O?E，?BE，sin?E? 13 12 ，?tan?D? 2 1 H F E D O A C B (1)?OA?BC?H. ?AD?eO?， ?OA?AD， ?ABCD? ?BCAD ?OA?BC ? ?ABAC= (2)?AO?eO?F，?OC?BF?CF. ?AF?BC ? ?BFCF= ?BF=CF ?1=2?2=?BCF=?E ?sin?1= sin?E= 12 13 ?RtOHC?，?CH=12a，OC=13a，?OH=5a ?OF=13a，AH=8a ?RtABH?，tan?ABH= 82 123 AHa BHa = ?ABCD?，?D=?ABH ?tan?D? 2 3 22.(? 10 ?)?xy 2 3 =? x k y =?A? 2 (1) ?k? (2) ?，?P(m，3)(m?0)?x? x k y =(x?0)?M，?OA?N ? ?OM，?OA?OM?，?PN?PM? ? ?PM?PN?，? ?(1)?A(2，b) ?A?xy 2 3 =，?b=3 ?A?(2，3) ?A? x k y =，?k=6 （2）? 2 1 ?MN?x?，P?(m，3) ?M?(m， m 6 ) ?AH?x?，?MN?x?G ?AH=3，OH=2，MG= m 6 ，OG=m ?13 222 =+=OHAHOA 2 2 222 36 m m OGMGOM+=+= ?OM=OA ? 2 2 36 13m m += 03613 24 =+mm ?32=或m ?m0?M?A? ?m=3 ?PM=1，PN= 2 3 ?PNPM= 2 1 ?PNPM ? ?N?(mm 2 3 ,) ?3 2 3 =mPN， m PM 6 3= ? m m m mm m mPMPN 2 )2( 3 2 12123 6 6 2 3 22 = + =+= ?00)2( 3 2 mm， ?0 2 )2( 3 2 m m ?0 PMPN ?PNPM 23.(? 10 ?)?ABCDEF?，N?M?，BM?AN?P (1) ? 1，?N?BC?，?M?DC?，BN?CM，?BP?BM?BN?BC (2) ? 2，?N?DC?，M?ED?，AMBN，? DE ME ? (3) ? 3，?N?M?BC?EF?，?ABCDEF? 2，? AP? P M F ED C AB N KHG M N F ED C BA H K J G P M N F ED C BA ?(1)ABNBCMPNBBMC= BPN?BCMBP BMBN BC= (2)?MGAB，NHAB，CKAB， ?2ABa=，? 1 2 BHa=， 33 3 22 NHCKa=，32 3MGABa= AMG?BNH 2 3 AGa= 1 3 ME DE = (3)?MGAB，NHAB，AJAB，BKAB ? 4 7 5 AK =，3 APAJMG PKBKNH =，? 33 7 45 APAK= 24.(? 12 ?)?，? 2 2 1 xy =?A(x1，y1)?C(x2，y2)，?x1?x2 ?x2?2x?8 ?，?x1?x2，?A?l? (1) ?A?C? (2) ?l? (3) ? 2，?B?AC?，?B?y?BE?l?E，? ?D，?E?DC?EF?AC?F，?BF? (1)?x22x8 = 0? x1= 2,x2= 4 ?x1 x2 ?A 2,2(),B 4,8() (2)1?，?l?x = 2 2?A?l?y = kx+b ?A?，b = 2k +2 ?y = kx+2k +2 ?， 1 2 x2= kx+2k +2 ?x22kx 4k 4 = 0 ?，? = 0 ?2k() 2 4 4k 4()= 0 ?k1= k2= 2 ?l:y = 2x2 ?，?l?x