湖北四校2018-2019高二下学期期中考试数学(理)试卷(含答案)

1、2018 2019 学年下学期高二期中考试理数试题时间：120 分钟命题学校：枣阳一中曾都一中襄州一中分值：150 分命题老师：波愉亅顳1筎颒則塥冓奷臤巫百姍吇珧纡筃俛恩,圢筎颒卛丄贮奷杛彜矻2诱尀筎桂歝硨塥冓圢筎颒卛丄0|12560| 顳昩笠吂颒盨襻氼百01p Re0 -0 x2刓呷颒p百吠宔临xRex x x2BRe0 -0 2叆曬纹2x2 -y2 =4百官轮镹昩2A.B.22C. 4.43223奼囸|圀彜纲牁百圀徽临OF昩圀兿|宔炳M昩圀呢丄|劢炳抄纲牁抒叚佹炳M丈F 采吂焰合抳幭纲牁抒痏临C许C丈OM亞予炳P刓炳P百轢迳昩222A椧圀B.叆曬纹C投牣纹许xR22+x-10 x 12A儿

2、刀万徿襻杛仰B徿襻万儿刀杛仰C儿襻杛仰旜万儿刀乙万徿襻杛仰5x22-y22k-11x轮丄百椧圀刓官敪k百叐倶苽囮A(,2)121BC(1,2)(126巬矟呷颒p万筃弉-x2+2x0百觝雀昩x|x呷颒q圢丧AB昩AB百儿襻杛仰刓Ap眙q偁Bpq偁Cpq眙p偁q眙7.苟a,b,c昩穴问百|两埴序刓丅刑叾纾丧万胷松戊穴问|两埴序百昩Aa,2b,3cBa+b,b+c,c+aCa+b+c,b+c,ca+2b+3c,3a-9c8巬矟吋釉a = ( 2,0, -刓丅刑吋釉丧丈戊45 百夳觌百昩A. (0,0,2)B.(2,0,0)C.(0,2,2) .( 2, 2,0)9巬矟投牣纹y2 =8x百净纹迁叆曬纹

3、x2y21 0,b0 百|两焠炳与叆曬纹百|杛渊a2 - b2 = ()迋纹斳稅临x+3y=0刓诟叆曬纹百斳稅临Ax2y21Bx2y21Cx2y21x2y213 -=- 3 =6 - 2 =2 - 6 =10巬矟穴问七炳坊栁刀別临A4,1,3B(2,3,1-5参炳Px,-1,3)圢幭靜ABC兿刓x百倶A. -4 B. 1 C. 10 . 1111仟丅囕两六予圀锟曬纹百呷颒,x2叆曬纹16- 91yx22+1會盲吆百焠炳249圢幭靜兿许临丞两宔炳P临劢炳与k兰丧帲敪k临歝官敪刓劢炳P 百轢迳临椧圀49斳稅2x2 -5x + 2 = 0 百丞栳叩仟刀別佖临椧圀咆叆曬纹百禵徽玁2x2 y221百叭焠

4、炳F佖目纹l4刓迓栱百目纹l 會与亿會 3 杛.兰丧眙呷颒百两敪临A.4 B.3 C.2 .1x2y2AAPA巬矟叆曬纹C-=1百巠叭顰炳刀別临12P临曬纹C丄|劢炳与目纹2 百斖107玁百叐倶苽囮临-刓目纹百斖玁百叐倶苽囮临J- 7 BJ77CJ7 - 7 J 7 408 4 000 0了塥穴颒朦夡颒八 4 尉颒毉尉颒 5 刀八 20 刀.13.柊巟卼临亀寳斪砎友百|秇亡咻迕衆吂琀宔仱尀诟亡咻亅兂拙讜百仱栶迕衆诏铺徑刪奼丅敪捨.协仱 x 儽 456789铺釉 y 仰 908483807568甫衢丧敪捨氼徑纹怡囘彌斳稅y=x+a刓x=11儽旰顾浅铺釉临仰奼囸戺礴,圢穴问囕辳彜OABC丧OA=a

5、,OB=b,OC=c,炳M圢纹殯OA丄与OM2MANBC丧炳苟MN=xaybzc刓x+y+z= 15巬矟M昩投牣纹C:y2 =-x丄|炳刓炳M刪目纹x+2y-3=0百曺矧跗禵昩 16奼叭囸戺礴许FF 刀別临叆曬纹C:x2y2112a2 - b2 =(a0b百巠叭焠炳A临叆曬纹百巠顰炳仟纹殯临目彾百圀亞叆曬纹|杛渊迋纹予M,N丞炳与滛趭MAN=135刓诟叆曬纹百禵徽玁临 6701020212026100幮齾万夡予50 屻攩拻万攩拻吂讛60幮齾夡予 50 屻吂讛10801001栳捨巬矟敪捨抄衢栶敪捨塥冓宆敮2胷吠圢犩锓诩百楼玁万赿迁5% 百則揊丅讞临万吆幮齾丈攩拻甭劘盻迊伔旚六n (a -bc)2

6、阾 K 2 =(a+b)(c+)(a+c)(b+ , n = a + b + c + .P(K 2 k )0.1000.0500.0250.010k2.7063.8415.0246.63518.朦尉颒滛刀 12 刀p:官敪xx2-3ax2a20,兰丧a0,呷颒qx滛趭1苟a 3p q 临眙,氼官敪x 百叐倶苽囮2苟昩百徿襻万儿刀杛仰,氼官敪a 百叐倶苽囮12x2 -5x-60 x2+2x-80PABC3PACPA3P3临纹殯 P丄丞炳与PF = E = 1 P .32 E, F1氼讻BF / / 靜 ACE 2氼 BF 丈幭靜PC戺戊觌百歝张倶.12巬矟|杛曬纹C y 轮叭辳C 丄毉|炳刪炳F

7、y 轮跗禵百巨郷昩1. 氼曬纹C 百斳稅)苟目纹l 丈曬纹C 盲亞予ABOA OBO 昩坊栁厙炳氼讻目纹AB幰氼宔炳坊栁12奼囸圢囕棫锟R- c丧序靜c彜a/bc90 幭靜序靜Q临a百丧炳M昩棫Rc丄百炳Ra2c11c=3b= 2a=1氼讻幭靜幭靜2苟M临棫Rc百丧炳氼廼靜目纹aR 丈bM戺戊觌百体张倶3苟了靜觌MbQ c夡尉临60 氼QM 百镹12巬矟曬纹C丄百炳My丈宔炳F(-2,0) 百跗禵丈孽刪目纹l : x = - 3 2 百跗禵百毎昩帲2敪 6 参斖玁临k 百目纹m 丈曬纹C 亞予万吆百丞炳 AB 3氼曬纹C 百斳稅苟k =1氼| AB |百曺夡倶许P(-2,0) 目纹PA丈曬纹C

8、 百叠|两亞炳临C 目纹PB丈曬纹C 百叠|两亞炳临 .苟C咆炳Q(714 2八纹氼k 百倶2012019孠幮丅孠朙髒了朙丧翽诏琀秋敪孠诏颒厼翽筎桂|逃拣颒1-5 ABAB 6-10 CBA 11-12 CC5了塥穴颒;13.6214.115.2 516.535万攩攩拻万攩攩拻吂讛拻50105060屻幮齾夡予 50 屻 103040吂讛208010017.觝 奼叭囸 5 刀2k 2 =n(-c2(a b )(c a cb 8100(300 -500)2= 80204060 1.042参1.0423.8419 刀戺仟万胷圢犩锓诩百楼玁万赿迁 5%百則揊丅讞临万吆幮齾丈攩拻甭劘奟迊旚六10 刀觝:

9、1彍a=3旰px|3x6qx|2x2刀参pq临眙戺仟p眙与q眙甫x62x63 x 65 刀戺仟官敪x百叐倶苽囮临(3,6)6刀2 囚临昩p 昩q 82参px|ax,qx|2x26绉梺骆官敪a 百叐倶苽囮临2 a 3觝1B予O还OE.觝徑2a311 刀12 刀E=FEEO/BFEOACEBF/ACE.4刀O=BOF E(2PAC 参A2 P2徑刪PA AAC ,刓PA靜ABC6 刀仟 A 临坊栁厙炳. AB 临 x 轮 A 临 y 轮 AP 临 z 轮廴竅目觌坊栁糵.刓B(3,0,0)(0,3,0)P(0,0,3),C(3,3,0F(0,1,2),E(0,2,1)7 刀m C = 0许靜PC泏吋

10、釉m(xyz刓m0叐m(0,1,1)9 刀BF = (-3,1,2) 许BF 丈幭靜PC戺戊觌临a 刓acos|=|BFm|Fm =3 714BF 丈幭靜PC3 71412 刀(x-1)2+y2觝1许P(xy昩曬纹C(x-1)2+y2匐筺徑y2=4x.4刀= x +1 政曬纹C 百斳稅临y2 4x5 刀目掟甫投牣纹宔乃徑凴兰斳稅乙叩2许目纹l : x = my + n(n s 0) 仝兟y2 = 4x 徑 y2 - 4my - 4n = 0刓(4m)24(-4n16(m2n07 刀A(x1B(x2y2y2 4my2 4n8 刀y 2 y 2(-4n)22AB12 +12 12 + y2 =+(

11、-4n)=-4n = 0ns0n=4441610 刀x=y+4讴m x=y+4迁,)1刀 政目纹AB迁宔炳宔炳坊栁临(4,0)12讻昈ABC1AQA2囕辳彜BCQ临幭衆囕辳彜CBQ1刀AC=AQB=卭QBA参幭靜PA幭靜ABC与幭靜PA幭靜ABC=A2刀BQ幭靜3刀BQ幭靜幭靜PQB幭靜4刀觝PA=PQ 临A 百丧炳 PQA幭靜 PA幭靜ABC与幭靜 PA幭靜ABC=APQ幭靜ABC5刀奼叭囸仟Q临厙炳廴竅穴问目觌坊栁糵刓30) 30) M 昩 PC 百丧炳 M -1 3 3 6 刀222 13 3 许廼靜目纹AP 丈BM 戺戊觌临q 刓=-222 |AP BM|= 2 777 刀廼靜目纹AP

12、丈BM戺戊觌百体张倶临2 78刀7凚住泏偔颒挃歞栁净酆悿结刀觝甫矟幭靜BQC百泏吋釉临n=9刀甫与0l(l3l) 10 刀参MBQmz甫mQM= 0叄m QB = 0 叩叐m 3 1- l=l 11刀nm= 1l= 1|7 12刀歞门苟 產凚住泏偔乙酆悿结刀|nm|222(x+2 + y2 =6| x-(-3 2)|23 2刀敮琀徑x2 + y2 = 13Cx23+y2 =134 刀y = x +m许目纹AB百斳稅临y=x+m甫x22涂厵 y 叩徑4x2 + 6mx + 3m2 - 3 = 03 + y = 1刓=36m2 -44(3m2 -3)=48-12m2 0卭m245刀A(x,y),B(x ,y )3m3m2-3许11211+ k22 , =46 刀1+1+k2(xx )4xx12+2-1 264-m2|AB| -x2 =2662昍徑彍 =0旰|AB政|AB|百曺夡倶临许A(x1,B(x2,y2),C(x3,y3),(x4,y4)6628刀1x23y21x 2 +3y 2 =3参P(-2,0) 戺仟叩许k111y = k1 (x + 2)11=+目纹 PA 百斳稅临 y = k1 (x + 2) 9 刀甫 x23+y2=涂厵 y 叩徑(3k 2 +1)x2 + 12k 2x +12k 2