2017年武汉市四调数学答案解析.pdf

2016~2017??????????????????????? ?????????????????????????，????????? ??????????????????? ???????????? ???? 17－－20 ????????? 21－－22 ?????????? 23 ????????? 24 ????????? ?????(? 10 ??，??? 3 ?，? 30 ?) 1.??16????( ) A．2 B．?4 C．4 D．8 2.???? 2 1 +x ?????????， ???x??????( ) A．x??2 B．x??2 C．x?0 D．x??2 3.????????x8??( ) A．x?x7 B．x16?x2 C．x16?x2 D．(x4)4 4.??A??????????，??????；??B????????，??????，? ( ) A．??A???B?????? B．??A?????，??B?????? C．??A?????，??B????? D．??A???B?????? 5.????????(a+3)(a?3)????( ) A．a2?6a+9 B．a2+9 C．a2?9 D．a2?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 ???????????????????????????( ) A．1.70?1.75 B．1.70?1.80 C．1.65?1.75 D．1.65?1.80 9.? 5?5 ???????，?????????? 1，??????????，??????? ?，??????????????m，??????????????n，?m?n?( ) A．0 B．0.5 C．?0.5 D．0.75 10.????x?????y?(x?h)2+3，? 1?x?3 ?，?????? 2h，?h???( ) A． 2 3 B． 2 3 ? 2 C． 2 3 ? 6 D．2? 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 6x－3x=3+4－1 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 ⎧ ⎨ ⎪ ⎩ ⎪ ?△ACB≌△DFE(SAS) ?AB=DE ?AB－BD=DE－BD ?AD=BE 19.(?? 8 ?)?????? 5000 ????????????， ??????????????， ????A?B?C?D????????，???????????????，?????? ?????????? (1) ????????，?????___________??? (2) ??????????? (3) ????????????????B??? (1) 200 (2) ? (???????????C???200×16%=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?????? ?BC∥AD ?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 ?Rt△OHC?，?CH=12a，OC=13a，?OH=5a ?OF=13a，AH=8a ?Rt△ABH?，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 ?PN－PM= 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?，AM∥BN，? 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)ABNΔ≌BCMΔ⇒PNBBMC∠= ∠⇒BPNΔ?BCMΔ⇒BP BMBN BC⋅=⋅ (2)?MGAB⊥，NHAB⊥，CKAB⊥， ?2ABa=，? 1 2 BHa=， 33 3 22 NHCKa==，32 3MGABa== AMGΔ?BNHΔ 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)???x2−2x−8 = 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 ???x2−2kx− 4k − 4 = 0 ?????????????，?Δ = 0 ?−2k() 2 − 4 −4k − 4()= 0 ??k1= k2= −2 ?l:y = −2x−2 ????，??l?????x = −2?y = −2x−2 (3)??AC????y = x+ 4 ?B a,a+ 4()，?D a, 1 2 a2 ⎛ ⎝ ⎜ ⎞ ⎠ ⎟，E a,−2a−2 () ?EF//CD ? BD BE = BC BF ?BF = BC⋅BE BD = a− 4() 2 + a+ 4−8() 2 ⋅a+ 4()− −2a−2()⎡ ⎣ ⎤ ⎦ a+ 4− 1 2 x2 = 6 2 。