8已知两数)=1og(81十8)一之，若f代a-1)≥2a+1),则a的取值范周是A.(-∞，-2]B.(-c∞，-2]U[0,+c∞)c[-2,g制D.(-∞，-2]U[号+∞二、多项选择题：本题共4小题，每小题5分，共20分。在每小题给出的选项中，有多项符合题目要求。全部选对的得5分，部分选对的得2分，有选错的得0分。09.已知甲种杂交水稻近五年的产量（单位：t/小hm2)数据为：9.8,10.0,10.，10.0,10.2，乙种杂交水稻近五年的产量（单位：t/hm)数据为：9.6,9.7,10.0,10.2,10.5，则A.甲种的样本极差小于乙种的样本极差0B.甲种的样本均数等于乙种的样本均数C.甲种的样本方差大于乙种的样本方差D.甲种的样本第60百分位数小于乙种的样本第60百分位数10.已知函数f(x)=e,g(x)=e,若直线x=(k>0)与y=f(x),y=g(x)图象交点的纵坐标分别为n,m,且n<2m,则3烟C.n">(m十1)m+1D.nm+1<(m+1)A.n+m2CF12.已知正方体ABCD-A1B,CD的棱长为2，P,Q分别是DD,和底面ABCD上的动点（包含边界)，且PQ=1,PQ的中点为M,则A.点M的轨迹的面积为零B直线CQ与BC所成角的余弦值的取值范围是[号，25C.当PQ⊥AC,时，三棱锥B,-QCD1的体积为定值D.1B,产+B,夜的最小值为4√3-1三、填空题：本题共4小题，每小题5分，共20分。13.若f(x)=2.x-1|-2x-a为奇函数，则a=14,记函数f(x)=sin(ox十)(w>0)的最小正周期为T.若受

时过A,C两点.若椭圆过A,B两点，代入解得a2=9,62=2,故其方程为花+又M(2,0),则直线AM的方程为)y=2t×-=1;若椭圆过B,C两92岭点，代入解得0=4，=2，放其方程为+号-12或y=42x24B设横圆方积为若=1o60.南s得。7-1.B联立{+y=1,得3x2+4+2r-2=0,则4=y=x+l,即椭圆方程为2，x2=1(a2>1).联立16t2-12(2t2-2)=24-8t2>0,即-√31,解得a2=4,所以b2=3,故椭片圆为a5,所以-22消去2t圆的标准方程为广，=1.43:可得点C的轨迹方程为y=-2255v4设与直线4x-5y+30=0行的直线4x-5y+7-2.x+y2=1设A(x1,y1),B(x2,y2),联立4141m=0(m>0)与C相切，联立25+g=1,Y=-得25x2+2t+1,得(a2+462)x2-4a2x+4a2-4a2b2=0,则4x-5y+m=0x2,y28mx+m2-225=0,则△=36(252-m2)=0,解得m=25(a262s1,或m=-25(舍去)，所以直线4x-5y+25=0与C相4a2x1+x2=a2+462a-4a6因为AB的中点为切，则1P01m=130-251_5v④a2+4b2w√/42+5741(,）,所以+-2，则。=6，则6.B由题得A1(-a,0),A2(a,0),B(0,b),则BA1=4a2-4a2b2a2+462=2-2b2.设直线1的斜率为k,由题知k=(-a,-b),BA2=(a,-b).由BA1·BA)=-1,得b2c1=-1,又a2=+d,e=。=3,所以d=9,公=8，2,又AB=,√22-4(2-2b2)=放程圆的方程为号+长=15,解得公=1，则心=4，故C的方程为号y=16-1.D由题得m<4v5-8,则8.B设|F2B=t,则|AF2=2t,BF,|=|AB|=3t.因m又因为e=45-8为点B在椭圆上，有2a=|BF,+F2B=4t,解得t=5-2,所以1-m5-12,解得m=14-65受因为点A在椭肉上，所以4，=2a-4,=a,45-82即点A为椭圆短轴端点.在△ABF,中，由余弦定理又14-65=(3-√5)2，所以短轴长为6-25有cos BAF,=6-2.C由题得c=1.又Sam,=2×FB,xp=A8-即：所以2AF,I·AB在△AF,F2中，由余弦定理有cos∠FAF2=yp≤b,且△PF,F2面积的最大值为3，则b=√5，+n4c=即2=3又c=1,所以a=3,b2&b+。三4故椭圆C的方程为+了2a22,故c的方程为+号=172322x+v2或y=2-√2由题得F(1,0),l:x=8-1.2由椭圆定义知|MF2|=2a-|MF,,所以1,将：=1代入椭圆方程可得，点4为，)或△MAF2的周长为|MA|+|AF2|+|MF2|=3a+|MA-|MF,I,易知MA-|MF,I≤|AF,I=a,当且56腾远高考交流QQ群730500642

导，利用导数研究函数的单调性即可求解；（Ⅲ）假设1=0,得y=0,t>0取定，构造新函数h(x),对h(x)求导，结合（Ⅱ）中所以f(-1D=0,即f(-1D=(6-1)(日-a)=0,g(x)即f'(x)的单调性即可得证.解：(I)因为f(x)=eln(1+x),则a=上或6=1，e所以了')=e[z+l+]又f'(x)=e(x+b+1)-a,所以f(0)=0,f'(0)=1.所以f(-10-=名-a=-g2-1+是e所以曲线y=f(x)在点(0，f(0)处的切线方程为y=x,若a=。,则6=2-e<0,与6>0矛盾，(I由题设gz)=e[+l1+x]故a=b=1.(Ⅱ)证明：由(I)可知f(x)=(x+1)(e-1),所以g)=e[++la+]+e[f'(x)=e(x+2)-1,a]-e[阳+25+a+小令f(x)=0,得x=-1或x=0,故曲线y=f(x)与x轴负半轴的唯一交点P的坐标因为x≥0，所以g'(x)>0,为(-1,0)所以函数g(x)在[0，十∞)上单调递增.曲线在点P(一1,0)处的切线方程为y=h(x),(Ⅲ)不妨假设t>0取定，则h(x)=f'(-1)(x+1),令h(x)=f(x十t)-f(x)-f(t),x∈[0，+∞)，令F(x)=f(x)-h(x),则h'(x)=f'(x十t)-f'(x),x∈[0，+∞).则F(x)=f(x)-f'(-1)(x+1),由（Ⅱ）知，f'(x)在[0，十∞)上单调递增，所以h'(x)=f'(x十t)-f'(x)>0.所以F(x)=f')-f'(-1)=ez+2)-君从而h(x)在[0，十∞)上单调递增.所以F'(-1)=0,因为h(0)=-f(0)=0,所以当x<一1时，所以当s>0时，h(s)>h(0)=0,当x∈(-∞，-2]时，F'(x)<0;即f(s+t)-f(s)-f(t)>0.若x∈(-2，-1)，令g(x)=F'(x),综上，对任意的s,t∈(0，十∞)，有f(s+t)>则g'(x)=e(x十3)>0，f(s)+f(t).则F'(x)在(-2，-1)上单调递增，13.【名师指导】本题考查利用导数研究函数的单调性、最所以F'(x)0知F'(x)在(-1，+∞)上单示出切线方程y=h(x),然后构造新函数，进而利用调递增，导数研究新函数的单调性，进而即可证明；（Ⅲ）首先设即F'(x)>F'(-1)=0,h(x)=m的根为x1,曲线y=f(x)在点(0,0)处的切所以F(x)在（一1，+∞）上单调递增，线方程t(x)=m的根为x2,并利用h(x)=m和所以F(x)≥F(-1)=0,即f(x)≥h(x),t(x)=m的单调性证明x≤x1,x2>x2,再利用不等式所以对于任意的实数x,都有f(x)≥h(x).的性质即可证明，解：(I)将x=-1代入切线方程(e-1)x+ey+e-()证明：由（Ⅱ）知A(x)=(任-1)x+1),数学·答17

数学2023-2024学年沪科七年级答案页第1期上趣1子闭板第1期3解：数轴表示如下：14.1或52版-1014号15.443.2101234561.1正数和负数三、解答题(第3题图)第1课时16解：第2课时1.C1.B50%,-3,-2A0.628,0,5.92.C-3.14,-923解：正数：-,20.22,10.3.a=-b负有理数非负数负数：-3.1，-7%，-17，-58。4解3)，37，-3.25，-14%.217解：(1)如图所示：A4A第3课时6-5-4-3-2-1012345671.B(第17题图)5.-5512.D(2)点B与点D距离7.5个单位6解：表示在标准净重的基础上，长度食品的净重不低于145g,不高于155g.3.2023或-202318.解：(1)6.第2课时40:65:5号；314(2)-3或7.1.D5解：数轴表示略.绝对值依次为：(3)由题意知，|1-x+x+2=3表2.D,3,0,5,6.5.示数x到1和-2的距离之和为33.B因为1和-2之间的距离为3，6解：没有因为绝对值表示的是4解：正数：2.7,145,108：所以×在数轴上所对应的点在1，距离，不可能是负数，2所对应的两点之间的线段上负数：-2023-号92：3版所以x的值为-2或-1或0或1.整数：-2023,0,5,108：一、选择题19.解：(1)如图所示：分数：号27.1492：1~4.CBBBAB5~8.BDAB-5-4-3-2-1012345一正整数：{5,108；(第19题图)二、填空题(2)由数轴可知，学校C在学校A负分数：号-929.-1的正西方向，距学校A8千米1.2数轴、相反数和绝对值10.4(3)根据题意，得|+4++1+-9+第1课时11.-3,-1|+4=4+1+9+4=18(千米).1.D12.+60.8%所以18x0.1=1.8(升).2.2或-213.不合格答：共耗油1.8升.第1页

2023-2024学年数学高考版答案页第1期母1子围报第3期1在R上恒成立，因为2+子-1≥2V2-1,所以m<区间为-0，)和[2，+0)。第2~3版同步周测参考答案一、单项选择题20x)=x-5提示：由x+2f(=,得1A提示：由+0解得-12所以函数13.AC提示：对于A,由-3≥0，解得x≥3或+2),两式联立，消去，得=m+1)的定义域为(-1,2).故选A+2V4-x2x<-2,所以函数x)的定义域为(-0，-2)U[3,+0),2.D提示：对于A=-1=x+1的定义域为{x故A正确；对于B,x)==x的定义域为(-0,0)U(0,21.2023x≠1，=x+1的定义域为R,定义域不同，不是同一函+),(x)=x的定义域为(-0，+0)，定义域不同，不是提示：因为f+})4302=1+x2+2022sinx数；对于B,y=Vx(x+)的定义域为{xx≥0或x≤-1}，同一函数，故B错误；对于C,x)=-x的定义域为2所以分1+品1-2则介y=V√x·Vx+1的定义域为xx≥0，定义域不同，不(-0,0)U(0,+∞)，关于原点对称，且(-x)=1+=-(33x-2,令x0,得3)1，所以0+2022+是同一函数；对于x+1)2三x+1的定义域为是+粒对的定受域为R,定受战不，朵是阁x=-(x),所以(x)为奇函数，则(x)的图象关于坐标…器)-0+2器小+-函数；对于D,ysim2x-8与sin-2x-im2+原点对称，故C正确；对于D,由x)-2-x)=x-1,得-x)-2x)=-x-1,解得x)3+1,故D错误故选AC.+89n8器18盟-2023.石-sm2x-石的定义城都为R,对应关系相同，是同一函数.故选D.14,AB提示：对于A,x)=x=,≥0在(0，则222不受点3.B提-x,x<0,x1)-f八J=x-x+x]-x2)=x1-x2)-1>0,即八x1)>:氏x)=x在(-∞，0)上单调递减，在(0+)上单调递增),所以代x)是增函数，因为2)-3.即2)-1),故A错误；(x)=2在R上单调递增故B正确；(x)=x在(-o,0)上单调递减，在(0，+0)上单为臂酸对6务有0.1)-1=3,所以f1)=2,所以不等式x2-x-1)<2等函数，符合题意；对于C,八x)=x2=(x-1)2-1在(0,1)于fx2-x-1)0成立，所以x)在[1，+0)2)由fa)≤5，可得.或e或2≤5，6A提示：函数x)=(-士)i的定义域为到上单调递增，在(1]上单调递减，故A错误；又205.解得a≤1或1n2或2≤a≤3，x≠0，因为-x)=x+sin(-x)=x-sinx=(x),所1oga8)=3),b=1loge4)=-ln2)=2+ln2),c=e)归所以实数a的取值范围为-o,3],f2),又20,则(x)<0,故排除C.故选A7B提示：因为函数(x)在R上单调递增，所以x)在x=1处取得最小值，故D错误.故选BC.数，所以x-)+-+2-y=03单调递增，则>1，因为)=+0-3在[4，+0)上16.ABD提示：因为八x)是偶函数，且x)+2)=-2,所以x)+x+2)-2,即x)=+2)-2.所-1+20,则a-1-0,得a1,所以)-别1L1(x+4)=-(x+2)-2=(x),所以(x)的最小正周期为4，故单调递增，所以Va≤4，解得a≤16，又4+从-3≥a3,A正确：因为x)是偶函数，所以爪-x)=(x)=八x+4),则所以-2=解得a≤号，所以实数a的取值范围是1，]故选B.函数y=x)的图象关于直线x=2对称，故B正确；因为(1)+爪3)=-2，且函数八x)的图象关于直线x=2对称，任取eR且e则a名，8.B提示：设g(x)=(-a*)+lg(x+Vx2+1),则g(x)所以1)=式3)=-1，故C错误；又0)=1，则0)=f4)=、1,又(2)+0)=-2，则f2)=-3,因为f1)+(2)+/3)+2的定义域为R,g(-x)=a-m+lg(V-x)=a-i+-1=2(2-2),因为1>x2,所以2>2>0，即4)=-4,所以f1)+2)+…+f20)=-4x5=-20,故D正2+1(2+1)(2+1)1g+1=a-d-lg(Vx2+1+x)=-g(x),所以g(x)为确.故选ABD2-2<0,2+1>0,2+1>0,所以爪x)-八)<0，即八x)<奇函数，因为2)=g(2)+1=4,所以g(2)=3,所以g-2)=17.ABD提示：由八x)=2-x),得八x)的图象关(),所以人x)在R上单调递-g(2)=-3,所以f八-2)=g(-2)+1=-3+1=-2.极选B.于直线=1对称，因为函x+1)的图象是由函数(2)因为爪x)是奇函数，所以2x2-2x)<-1-x)个单位长度得到的，所以函x)的图象的同会关移v轴对称，所以函数=代x+】f(x-1),又f(x)是R上的减函数，所以2x2-2x>x-1,即2x2-3x+1>0,解得x<)或x>1,所以原不等式的解集为增函数，由f(2x+3)>f(x+1),得f(2x+3)>是偶函数，故A正确；由x)是R上的奇函数，得-x)-f|x+11),所以|2x+3|>x+1|,即(2x+3)P>(x+1)2,解x),又x)承2-)，则A-x)2+x)=x,所以4+-0,7U(1,+)得x<-2或>-号.枚选A.25.解：(1)a=4时，fx)=4-2·2+4=(2-1)2+3,因为[1,2],所以3≤(2-1)2+3≤4，所10.A提示：因为fx+1)为奇函数，所以-x+1)数，所以当x∈[-1,0)时，f(x)=x,且f(0)=0,所以-x+1),又x)为偶函数，所以-x+1)=x-1),所以(x)在(-1,1)上单调递增，在(1,3)上单调递减，因为八x-1)=-x+1),即x)=+2),所以x+4)=八x+2)x)的最小正周期T=4,所以f孔x)在(3,5)上单调递增，(2爪x)=4-a2-+4=4-号·2+4，令2=t,则>0，因f(x),所以函数x)的最小正周期为4.由(-x+1)=在(-3，-1)上单调递减，故B正确，C错误.故选ABD-fx+1),令x=0,得f1)=0,f(3)=f-1)=1)=0,又f0)+是示：因为函数fx-1)的图象关于为x)=0有解，等价于方程2-g·t+4=0在(0，+∞)上A3)=4,所以0)=4，所以0)三k+a=4,18.ABC1)=3k+a解得k=-2,a=线x=1对称，所以x)的图象关于y轴对称，又当e[0,+x),且≠时，x人）<0恒成立，所4=年-16≥0，6,所以当x∈[0,1]时，(x)=-2·3+6,则1og2)=-2×有解，所以解得a≥8，所以实数a的取32+6=-2x2+6=2.故选A.以x在[0，+)上单调递增，所以(x)在(-，0)上2>0,单调递减，又2a)<(2x+1)对任意的x∈R恒成立，值范围为[8，+0)1B提示：令gx))-2=+,由g-x则2ax<2x2+1|,两边方，得4ax2<4x2+4x2+1.当x26解：(1)因为爪x)为R上的奇函数，g(x)为R上产，得s)为奇函数，易知)1-e0时，不等式为0<1，成立；当x≠0时，不等式转化为的偶函数，所以(-x)=x),-x)=g),1=+证+1设g归+证+1xeR所以又爪x)+g(x)=2,e41+r为增函数，所以2)+4u-5)<4d)-x21-4x2所以(-x)+g-x)=-x)+g(x)=2②由①②，解得f(x)=2-2,g(x)=2+22<-[f4a-5)-2],即g(2)<-g(4a-5)=g(-4a+5),所以x≥2Vr拉+1-2，当且仅当，即=±2(2)因为fx)=2-2在[1，+∞)上单调递增，所以a<-4a+5,解得-52三，由hu)=+在[3，+x上单调递增，得()m=，由奇函数的性质，可知)在R上单调递增，所以f(2-4)+f(m·2-2)<0等价于f2-4)<-f(m·2-2)=单调递增区间为-0,2]：当x>2时x)=x-2尸A3）=日，所以a≤及，所以实数a的取值范国是-m2+2),所以2-4-m*2+2,即m<42+224-,其单调递增区间为[2，+∞)，所以(x)的单调递增13-,6第3页

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世超金袋售假乐园自我评价★年月日☆☆☆☆☆一、判断题。（对的画“√”，错的画“×”)1.除数一定小于余数。()2.44÷8=5…48×5+4=44（)3.一个数除以6，商是3，余数是2，这个数是16。()4.除法算式一定有余数。（)5.如果余数是5，那么除数可能是4。(二、选一选。1.下面是移现象的是（),是旋转现象的是(①②③④2.一袋鲜奶重500()。①克②千克三、称一称，把序号写在船上。下图是三只动物分别站在三只同样的船上后，船在水中显示的深度，你能判断出每只船上载的是什么动物吗？③922

学生用人书名师导学·新高考第一轮总复·数学第43讲立体几何中的综合问题（翻折、动点、截面问题等）【课标要求】1.能根据题目条件灵活选择用几何法或向量法解决问题.2.会分析探究立体几何中位置关系问题和几何量的取值问题，培养探究思维能力乾备职。®。。6。基础知识夯实教材知识整合4青【基础检测】4.如图，在棱长为1的正方体1.如图，斜线段AB与面aABCD-A1B1CD1的对角A所成的角为60°，B为斜足，线AC上任取一点P,以A面。上的动点P满足为球心，AP为半径作一个∠PAB=30°，则点P的轨迹是球.设AP=x,记该球面与正A.直线B.抛物线方体表面的交线的长度和为f(x),则函数C.椭圆D.双曲线的一支f(x)的图象最有可能的是2.设四棱锥P-ABCD的底面不是行四边形，用面α去截此四棱锥，使得截面四边形是行四边形，则这样的面α()1√23BA.不存在B.只有1个123C.恰有4个D.有无数多个5.已知直角梯形ABCD,AB⊥AD,CD⊥AD,3.已知矩形ABCD,AB=1,BC=√2.将AB=2AD=2CD=2,沿AC折叠成三棱锥，△ABD沿矩形的对角线BD所在的直线进①当三棱锥体积最大时，三棱锥外接球的体行翻折，在翻折过程中积为;②当三棱锥外接球的体积A存在某个位置，使得直线AC与直线BD最小时，三棱锥的体积为垂直【知识要点】B.存在某个位置，使得直线AB与直线CD1.立体几何中的截面问题，关键是要利用垂直点线共面条件作出截面与各面的交线：C.存在某个位置，使得直线AD与直线BC2.立体几何中的轨迹问题，解题时要在恰垂直当空间想象的同时联想几种常见曲线的定义.D.对任意位置，三对直线“AC与BD”“AB3.折叠问题与CD”“AD与BC”均不垂直(1)将面图形按一定规则折叠成立体图218

2023年河南省五市高三第二次联合调研检测高三英语听力材料和参考答案听力材料(Text 1)W:Excuse me.Could you tell me where the TV station is?M:Yes.Go two blocks and then turn left.The TV station is on the corner opposite thepost office.(Text 2)M:Excuse me,is this seat taken?W No,it isn't.M:Would you mind moving over one.So my friend and I can sit together?W:No,not at all.(Text 3)M:I just heard I passed my physics exam.W:Congratulations!I'm glad somebody's happy.M:Why?What's the matter?W:Oh,I'm just worried,I guess.I have to take a history exam next week.(Text 4)W:It must be the wind that makes it so cold.I'm freezing!M:Me,too.Let's go inside.W:OK.It's no fun standing out here even if the sun is shining(Text 5)W:Did you lock the doors?M:All except the back door.I left that open for Tim.He took the dog for a walk.W:Well.I'm going to bed.I'm tired.(Text 6)W:Hi.John.Are you going to spend the winter holiday here in the States?M:No.I'm going abroad with my friends to enjoy the 2-week holiday.W:Where are you going?M:Australia.There are lots of beautiful places to see such as the Great Barrier Reef,the Gold Coast,the Sydney Opera House.Besides,I love the summer weatherthere.W:How wonderful!I wish I could go with you.M:Why not?You are welcome to join us.You love history,don't you?I've heardthere are two underground Catholic churches in the world,and both of them are inAustralia.W:I'd love to go,but I've already applied for a part-time job.Have a nice trip!(Text 7)M:I just saw Professor Black.He finished the budget for our concert tour.It's going高三英语答案第1页（共4页）

解得10),故x∈(0,1)时，f(x)<0,f(x)在(0,1)单调递减，x∈(1，+∞)时，f(x)>0,f(x)在(1，十∞)单调递增，故x=1时，f(x)取得极小值f1)=1,无极大值.(5分)(2)g)=时x)-号=子--音(x>0,令g(x)=0,得m=-3x+x(x>0),设g()=-3+z(x>0),则9(x)=-(x-1)(x十1)，x∈(0,1)时，p(x)>0,p(x)在(0,1)单调递增，x∈(1，+∞)时，p(x)<0,p(x)在(1，十∞)单调递减，故p()的最大值是p(1)=号，又p(0)=0,p(3)=-6<0,故0

18.(本题9分)已知关于x的方程x2-k+1x+2k=3(1)求证：无论k为何实数，此方程总有两个不相等的实数根(2)若该方程有一个根为1，求该方程的另一个实数根，19.(本题7分)一个两位数，个位数字比十位数字大4，把这个数的个位数字和十位数字对调后，得到新的两位数，原两位数与其十位数字的柔积加上10正好等于新的两位数，求原来的两位数20.（本题8分）观察下列各式：3-28好®(1)根据你发现的规律填空：(2)请用n(n为正整数)来表示含有上述规律的等式，并证明该等式成立.初三数学第4页（共6页）（能力训练一）

(1)完成2×2列联表，并依据小概率值α=0.1的独立性检验，能否认为性别与对该活动的喜爱程度有关联？(2)为宣传曲艺文化知识，当地文化局在书会上组织了戏曲知识竞赛活动.活动规定从8道备选题中随机抽取4道题进行作答，假设在8道备选题中，戏迷甲正确完成每道题的概9率都是子，且每道题正确完成与否互不影响：戏迷乙只能正确完成其中的6道题9①求戏迷甲至少正确完成其中3道题的概率；②设随机变量X表示戏迷乙正确完成题的个数，求X的分布列及数学期望附：X=(a+b)(c+d)(a+c)(b+d)n(ad-bc)20.10.050.010.0050.001其中n=a+b+c+d.Xa2.7063.8416.6357.87910.82820.(12分)如图，在三棱台ABC-DEF中，BC=2EF,BC⊥AB,BC⊥CF,G,H分别为AC,BC上的点，面FCH∥面ABD,（I)求证：BC1面EGH;9(2)若AB⊥CF,LBAC=45°，EF=CF=1,求面FG和面DFG的夹角的余弦值，0、0-558021.(12分)6}0已知函数(x)=x-lnx+m,g()=(1)若函数f(x)和g(x)的图象都与行于x轴的同一条直线相切，求m的值；(2)若函数F(x)=f(x)-g(x)有两个零点x1,x2,证明：e1·e>e222.(12分)已知抛物线C:x2=-4y,直线1垂直于y轴，与C交于M,N两点，0为坐标原点，过点N且行于y轴的直线与直线OM交于点P,记动点P的轨迹为曲线E(1)求曲线E的方程；(2)点A在直线y=-1史运动，过点A作曲线E的两条切线，切点分别为P,P,在面内是否存在定点B,使得APP,?若存在，请求出定点B的坐标；若不存在，请说明理由。》高三数学第4页（共4页）

第9期A4版Keys:(One possible version)写作一招鲜I once had an experience of helping others,from which I learned a lot.One day,I came across an elderly woman struggling with her groceries.I offered to help andshe gratefully accepted.As we walked and talked,she opened up to me about her struggles withhealth issues.I listened carefully and offered words of comfort and encouragement.In thefollowing days,I brought her meals and groceries,and we spent some time chatting.I alsoconnected her with some local volunteer groups for seniors.Through this experience,I learned that by simply offering a helping hand,we have the abilityto make a positive impact on someone's life.文学天地1.The beauty of the surroundings at Green Gables filled Anne with happiness and respect.It liftedher spirits and provided a sense ofjoy and wonder2.Because she had no idea how to communicate with Anne.

第六套阶段检测（二）试题答案英语21~5BCACC 6~10CAABA听力11~15 CCBBC16~20AACCB阅读理解本文介绍了南非潜水课程的要求、费用、课程安排及如何报名等信息。A21.D根据“What are the requirements?"部分中“Comptio famedicafombefore taking part in the cours”可知，要参加这个课程的话，参加者需要先完成医学评估，即要提交健康状况的临床评估。22.D根据“How does it work?”部分中“The e-learning course takes about 14 hours to complete..”和Once in South Africa,.you will eceive7 hours of practiclion可知，参加这个课程的学需要大约14小时的网上学加上17小时的实践指导。所以完成课程的总计时间大约为31小时。23.A根据“How do I book?”部分中“Through website:Visit our website,.oyster-worldwide.com.”可知，预订该课程的方式之一就是通过他们的网站B老年人是否都有“老人气味”？Dr Max Pemberton分析了老人产生体味的原因。24.D根据第一部分可知，Edith担心老年人会有难闻的体味。25.A Dr Max Pemberton从几个方面分析了老年人产生体味的原因26.D Dr Max Pemberton是通过分析原因来帮助Edith去除关于老年人有体味的担忧27.C文章涉及老年人健康方面的问题，所以可能来自健康杂志0本文主要介绍了一群西方早期摄影师通过摄影让世人了解中国。28.A根据第1段第2句可推知，外国人对中国的摄影发展起着重要的作用29.D根据第3段第2句（他作品中19世纪的影像包括街景、商人、乡村生活和建筑，展示了从盲人乞丐到丝绸之路上的骆驼商队的一切。)可知，Stephan的收藏涉及面非常广。30.D根据第4段末句可知，2018年的北京摄影展的特色是展出了早期的摄影形式。31.A根据最后一段的all wanted to bring the great images home as a record of this beautifulculture of China that was so unique(所有人都想把这些伟大的影像带回家，作为中国独特的美丽文化的记录)可知，他们带回这些影像用来记录独特的中国文化。D本文是一篇说明文，主要说明气候变化对动植物的影响。32.B结合第1段的例子和第2段第1句可知，第1段举这些例子是为了说明气候变暖对动植物的生存产生了极大的影响。33.C根据第2段第2句和第3段第1句可知，这个报告提到了环境危机的几个形式。34.C根据画线词下文（但是它们有可能破坏商业性农业和渔业，威胁到从蝴蝶到鲸鱼的脆弱物种，这种结果容易看到。)，再结合上文while引导的句子的句意可推断，subtle表示“不明·31：【24·G3DY·英语·参考答案-R-必考-QG】

2023年广西三新学术联盟高二年级10月联考英语（人教版）（考试时间：120分钟总分：150分)注意事项：1.2.答卷前，考生务必将自己的姓名、准考证号填写在本试卷和答题卡上。回答选择题时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标涂黑。如需改动，用橡皮擦干净后，再选涂其他答案标号。回答非选择题时，将答案写在答题卡上，写在本试卷上无效。3.考试结束后，将本试卷和答题卡一并交回。第一部分听力（共两节，满分30分）第-节（共5小题，每小题1.5分，满分7.5分)听下面5段对话。每段对话后有一个小题，从题中所给的A、B、C三个选项中选出最佳选项。听完每段对话后，你都有10秒钟的时间来回答有关小题和阅读下一小题。每段对话仅读一遍。1.What did the woman tell the man?A.Her pencil wasn't sharp.B.He could use her extra penC.She didn't bring the pencil sharpener.2.Why was the man surprised?A.The woman was late.B.The woman arrived carly.C.The woman had to work overtime tonight3.When will the speakers discuss the matter again?A.On Wednesday.B.On Thursday.C.On Friday4.How does Henry feel now?A.Proud.B.GratefulC.Tired.5.What will the speakers do?A.Keep waiting.B.Go back home.C.Go to another restaurant第二节（共15小题；每小题1.5分，满分22.5分）听下面5段对话或独白。每段对话或独白后有几个小题，从题中所给的A、B、C三个选项中选出最佳选项。听每段对话或独白前，你将有时间阅读各个小题，每小题5秒钟；听完后，各小题将给出5秒钟的作答时间。每段对话或独白读两遍：听第6段材料，回答第6、7题。6.What is the conversation mainly about?A.The best social apps.B.Plans for the weekend.C.The man's phone messages.7.How many people does the man claim to text often?C.60A.5.B.10.听第7段材料，回答第8、9题。8.What does the man have to do this morning?A.Treat friends at home.B.Finish reading a paper.C.Look after his baby sister.高二10月联考英语（人教版）第1页（共8页）

Part 3however,whatever,whenever,wherever,whoeverDeveloping ideas Presenting ideasI.用括号中所给单词的适当形式填空。4.It would be much better to take your headout of the sand and face the fact,however1.Thanks to the advanced_(advance)technology,unpleasant it may be.we live in an age of globalization.5.Garlic is a plant that grows wherever2.Being trapped in the lift for an hour is athere is a warm climate.terrifying(terrify)experience for them.3.Mary called the travel agency (agent)tocheck the time and cost of the trip to China.Ⅲ.根据汉语提示，完成句子，每空一词。4.Unlike popular destinations,some under-L.No matter how frequently performed(无论演explored places with little online exposure出频率如何)，the works of Beethoven always(expose)can offer more surprises.attract a large audience.5.The tourists all over the world are greatly2.No matter what you are doing(不管你正在做impressed with the stunning (stun)scenery of什么)，you can have a fun experience so long asJiuzhaigou.you are with your friends.L.根据Developing ideasi部分的课文内容，在3.Whenever I recall the moment(每当我回忆空白处填入1个适当的单词或括号内单词的正起这一时刻)，this class will come into my mind,.确形式。bringing back sweet memories.Today,environmental problems are the greatest4.Whether you accept it or not(无论你接受与否)，risk to life on Earth.Scientists are thinking ofbody language will give away our thoughtways to lower this risk.unconsciously.One option is to explore other planets 1.5.Whoever is interested in(任何对..感兴趣的to see (see)if we could live on them.The mostA)this task can hand in the application to thelikely choice is Mars,2.which is relatively close toStudents'Union before next Friday.Earth and has an environment 3.less hostile(hostile)than that of other planets.We 4.have been sending (send)unmannedIV.用适当的“疑问词+-ever”完成短文。spacecraft to Mars since the 1960s.5.Encouraged(encourage)by discoveries over the years,space1.Whatever sport you choose,you should haveagencies of various countries are planning manneda passion for it.2.However challenging themissions to Mars.journey may be,you should carry on.And 3.There is no doubt 6.that humankind is drawnwhenever the opportunity arises,whether it's atowards Mars,7.hoping (hope)to make it ourtournament,a race,or a game,you should seize itsecond home.However,sending people there willand try your best.require all the skill,courage and intelligence of the4.Wherever the competition takes place,youhuman race.And even if the first settlers do reachjust need to put your mind to the competition.Mars 8.safely (safe),they may not be able toreturn to Earth-ever.Staying alive will be a daily challenge,but asproved by the Biosphere 2 experiment,not5.Whoever your competitor may be,youimpossible.More recently,scientists haveought to take him seriously.Meanwhile,itsucceeded in growing a variety of plants in andoesn't matter whether you win or not.Whatenvironment similar 9.to that on Mars.really counts is that you are in the race.For now,human 10.settlement (settle)ofMars is still decades away,so we should takemuch better care of our Earth.g

讲评三步一体高效训练C.Go home.礼记7.What will the woman do next?A.Help the man.B.Close the store.M:I'm m听第7段材料，回答第8至10题。8.What will the woman do the next morning?C.Visit London.A.Have a rest.B.Go shopping.形hat9.How does the man feel after writing the whole day?C.Quite proud.kidsB.Very excited.M:GreatA.A little tired.10.Where are the speakers going to have lunch tomorrow?C.In a shopping center.(T3B.In a restaurant.M:All riA.At the man's home.potat听第8段材料，回答第11至13题。W:OK.11.When did Keiko start to live in America?C.In2016.(Tert 4A.In2011.B.n2013.M:You12.What was Keiko's trouble?W:SinceA.He didn't look like Japanese.M:Oh,B.He was not Japanese any more.(Text 5C.He acted a little different from other Japanese.M:We a13.What does Keiko say about Japanese people?W:TheA.They have different opinions.M:ThanB.They respect each other.(Text 6)C.They take each other for granted.M:I've听第9段材料，回答第14至17题。W:Well14.What does the man plan to do next weekend?M:Yes.A.Take a local trip.W:OK.B.Visit the stadium.M:Yes,C.Attend a winter camp.w:Well15.Who once worked as a volunteer at the Winter Olympics?M:Be mA.Tom.B.Jack.C.Susan.(Text 716.How does the woman feel about the invitation at first?M:WellA.Curious.B.Hesitant.17.Why does the woman change her mind in the end?C.Uninterested.w:Idlbe tiA.Because she wants to learn how to ski.M:I amB.Because her friend will go there too.thinC.Because she can save a lot of money.W:Oh,听第10段材料，回答第18至20题。(Text18.Where will the classical concert take place?W:NovA.In Building 1.B.In a gallery.M:Ilv19.What is Larry Higgins?C.In Building 2.W:ThA.A musician.B.A painter.M:t20.When will Victoria present her pictures?C.A writer.otheA.At 12 pm.B.At 3 pm.W:Ha试题答案1-5 AACBA 6~10 BABAB 11~15 ACBBB 16~20 CBACAC.At 5 pm.M:YestheTert[24新教材·DY英语-R-选择性必修第一册-Y】M:Ho

听第8段材料，回答第10至12题。10.Where do the speakers want to leave now?A.The dormitory.B.The classroom.C.The school library.11.What is the man going-to do tomorrow?A.Pick up his things.B.Take an exam.C.Finish his graduate paper.12.What does the woman ask the man to do?A.Save a seat.B.Have dinner together.C.Tum off the lights.听第9段材料，回答第13至16题。13.What does the man like listening to?A.Talk shows.B.NewsC.Music.14.Why does the woman feel terrible about talk shows?A.Some hosts are rude.B.There are loo many callers.C.Audience often have different ideas.15.Who just listens to the radio while driving?A.The woman's husband.B.The woman.C.The man.16.What does the woman think of listening to the radio in stores?A.Useful.B.Boring.C.Fashionable.听第10段材料，回答第17至20题。17.How far was the man swept away?A.30 meters.B.50 meters.C.300 meters,18.What was the woman doing near Millennium Bridge?A.Walking her dog.B.Talking with coastguards.C.Going boating.19.What did the man hold in the water?A.A dog.B.A boat.C.A post.20.What is the speaker mainly talking about?A.A woman teaches boating.B.A man finds a woman's dog.C.A dog helps rescue a man from sea.第二部分阅读理解（共两节，满分50分）第一节（共15小题：每小题2.5分，满分37.5分）阅读下列短文，从每题所给的A、B、C和D四个选项中，选出最佳选项，并在答题卡上将该项涂黑。AFall 2023 ClassesBook Passage is offering dozens of exciting classes in several categories.Please click on any category below to leam about the content.Any questions,email classes@bookpassage.com.AI for AmateursInstructor:Nina SchulyerAre you curious about how artificial intelligence(Al)isDATE:October 6 (1 Friday)reshaping nearly everything in our world,includingTIME:10:30AM-12:30PMbusiness,medicine,creative work,and education?Whatdoes it all mean?Join writer Nina Schuyler as she leads thisLOCATION:Corte Madera Storeexploration into how we got here,where we are now,andwhere we might be headed.英语试题第2页（共8页）

For years,women have been trying to change that.From 1984 to 2009,there was a women's Tour de France,run under different names by different organizations.But in 2009,it ended complete- ly. The Tour de France is organized by Amaury Sport Organiza- tion (ASO).In 2014,ASO began holding a shorter one-or two- day race for women called La Course.But La Course isn't a long race with many stages. To call attention to the need for a women's Tour de France, a French cycling club has taken on an unusual project called “Journee-1”or“J-l”.As part of J-1,since20l5,a group of women has been riding the exact same course as the men's Tour de France,just one day earlier.

waddling(蹒跚行走)their way back to their nests.They mark specific routes for visitors to walk on so that they don't use the penguins'highways.Part of their job is also to count the penguin colony when they've laid their eggs,then again when the chicks are born and when the chicks are old enough to venture beyond the nest.The information collected will help scientists know whether the breeding (season has been a successful one or not, 24.What's the main job of the four women in the PortLockroy base? A.Stamping postcards. B.Preserving the port. C.Welcoming visiting ships.

第二节（共10小题；每小题1.5分，满分15分） 阅读下面短文，在空白处填入1个适当的单词或括号内单词的 正确形式。 Have you ever wondered 41 you would do to solve math problems if you didn't have a calculator or computer or even pen- cil and paper?People in China have used an ancient counting tool 42 perform mathematical operations.The Chinese calculator's name is“suanpan”,but it is known as“abacus 43 English.Abacus is one of the symbols of Chinese people's wisdom 44 (date)back to the 12th century. Abacus has had 45 far-reaching influence on science and technology,language,literature,art,architecture and many other fields of China and even some areas of the world.

twice,he never attended to it. A few days later,when the little boy went to see his tree a- gain,he was surprised to find it not only didn't bend towards the ground,but also grew some fresh leaves,and compared with the trees of his brothers'and sisters',his appeared greener and more vital.His father kept his promise,bought the little boy his fa- vorite gift and said to him he would become an outstanding bota- nist when he grew up. Since then,the little boy slowly became optimistic.One day,the little boy lay on the bed but couldn't sleep.Looking at the bright moonlight outside the window,he suddenly recalled what the biology teacher once said,plants generally grow at night.Why not go to see the tree?When he came to the court-

emotionally disabled by failure because they allow it to define who they are.They fail to understand that it's part of learning and growing process. A.You're so good! B.I always give my best. C.Positive people love to be challenged. D.However,negative people believe they know it all. E.Additionally,negative people don't allow others to change. F.To negative people,when others succeed it means they are failing. G.They understand that failure is an event,and that doesn't define who they are.

听第10段材料，回答第18至20题。 18.What do the Western people think highly of? A.Life experience. B.Helping the poor. C.Travelling abroad. 19.What's the advantage of a gap year after school for students? A.To build friendship with foreigners. B.To develop their language ability. C.To think about their future life. 20.What may volunteers do in Africa during their gap year? A.Build wells. B.Feed wild animals. C.Help people to be independent.

12.What does the woman consider her father to be? A.Proud of his achievement. B.Aware of his lack of energy. C.Confident in his strong body. 13.What does the woman plan to do later in the afternoon? A.Send her father to hospital. B.Have a talk with her father. C.Invite the man to meet her father. 听第9段材料，回答第14至17题。 14.Where did the woman meet the man? A.At the Berlin bus station. B.At the London bus station. C.At the woman's apartment.

【答案】6l.a62.have fallen63.was impressed 64.It 65.smiling 66.to 67.places 68.to disturb 69.official 70.permanently

1、衡水金卷先享题2024答案数学分科综合卷 新教材乙卷A

1、2024届全国高考分科调研模拟测试卷(二)2数学(XGK)试题考试试卷

口彩▣高一同步周测卷/数学4.第24届冬奥会于2022年02月04日~2022年02月20日在我国