中原名校(即豫南九校)2018届高三第六次质量考评英语试卷【附答案】

中原名校2018—2019学年上期第三次质量考评高三英语试题（考试时间:120分钟试卷满分:150分)注意事项：1。

本试卷分第I卷（选择题）和第II卷（非选择题)两部分。

答卷前,考生务必将自己的姓名、准考证号填写在答题卡上。

2.回答第I卷时，选出每小题答案后，用铅笔把答题卡上对应题目的答案标号涂黑。

如需改动，用橡皮擦千净后,再选涂其他答案标号。

写在本试卷上无效。

3.回答第II卷时，将答案写在答题卡上.写在本试卷上无效。

4。

考试结束后，将本试卷和答题卡一并交回.第I卷第一部分听力（共两节，满分30分)第一节(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，并标在试卷的相应位置。

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.When does the play start？A。

At 6：30。

B.At 8：00. C.At 6：00。

2. What have they decided to do?A.Visit.B.Play。

C.Fly.3。

Why did the man arrive late?A. His car broke down。

B. He worked late。

C. He met someone else on the way。

4。

What is the man?A。

ticket seller。

B.A passenger. C.A writer。

5。

What can we learn from the conversation?A。

They are on the wrong way。

B。

The man can’t drive well。

C.The car has broken down.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，并标在试卷的相应位置。

河南省豫南九校2018届高三下学期第一次联考英语（考试时间：120分钟试卷满分：150分）注意事项：1.本试卷由四个部分组成。

其中，第一、二部分和第三部分的第一节为选择题。

第三部分的第二节和第四部分为非选择题。

2.答卷前，考生务必将自己的姓名、准考证号填写在答题卡上。

3.回答选择题时，选出每小题答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑；回答非选择题时，将答案写在答题卡上，写在本试卷上无效。

4.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）做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（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，并标在试卷的相应位置。

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. How much did the man pay for the cap?A. Ten dollars.B. Forty dollars.C. Fifty dollars.2. Where is the man going to plant the tree?A. By the front door.B. At the other end of the garden.C. At the back of the garage.3. What did the man mean?A. He quite agreed with the woman.B. He enjoyed the lecture the whole time.C. The lecture was more than one hour long.4. What does the man really want to do?A. To read the advertisement.B. To meet the manager.C. To take the job.5. What's the time now?A. 8：30.B. 9：00.C. 8：00.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。

中原名校高考仿真模拟统一考试英语试题组题编审：北大附中河南分校绵阳中学许昌高中（考试时间：120分针试卷满分：150分）说明：1．本试卷分第I卷（选择题）和第II卷（非选择题）两部分，听力成绩不计入总分。

2答第I卷前，考生务必将自己的姓名、考号、考场、座号填写在答题卡上。

3每小题选出答案后，请把答案填写在答题卡上指定位置，不能答在试卷上。

第I卷选择题第一部分：听力理解（共两节。

满分30分）第一节（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，并标在试卷的相应位置。

听完每段对话后，你都有10移钟的时间来回菩有关小题和阅读下一小题。

每段对话仅读一遍。

1. What is the probable relationship between the two speakers?A. Teacher and student.B. Doctor and patient.C.Manager and office worker.2 . What is the woman complaining about?A. Having to waitB. Her checkC. The computer3. What does the woman mean?A. The woman knows where Martha has gone.B. Martha will go to the concert by herself.C. It is quite possible for the man to find Martha.4. What is the man's ticket for'?A. A playB.A concertC. A lecture5. What does the man mean?A. He agrees with the woman.B. He disagrees wit h the woman.C. He is looking in the woman's eye.第二节（共15小题；每小题1 5分，共22.5分）听下面5段对话。

2018豫南九校高考英语仿真统一考试试卷（含答案） 9题。

8 Why does Diana say sorry to peter?A She has to give up her travel panB She wants to visit another cityC She needs to put off her test9 What does Diana want Peter to do?A Help her with her studyB Take a book to her friendC Teach a geography lesson听第8段材料，回答第10-12题。

10 Why does the man call the woman?A To tell her about her nejobB To ask about her job programC To plan a meeting with her11 Who needs a neflat?A AlexB AndreaC Miranda12 Where is the woman now?A In BaltimoreB In NeYorkC In Avon听第9段材料，回答第13-16题。

13 What does Jan consider most important when he judges a restaurant?A Where the restaurant isB Whether the prices are lowC Hoell the food is prepared14 When did Jan begin to write for a magazine?A After he came back to SwedenB Before he went to the United StatesC As soon as he got his first job in 198215 What may Jan do to find a good restaurant?A Talk to people in the streetB Speak to taxi driversC Ask hotel clerks。

河南省中原名校（即豫南九校）2018届高三第六次质量考评理科数学试卷第Ⅰ卷（共60分）一、选择题：本大题共12个小题,每小题5分,共60分.在每小题给出的四个选项中，只有一项是符合题目要求的.1.已知集合{}{}21,1A x x B x x =<=<，则（ ）A ．AB Ü B ．A B R ⋃= C. B A Ü D ．{}1A B x x ⋂=< 2.已知复数(),,2a ix yi a x y R i+=+∈+，则2x y +=（ ） A ．1 B ．35C. 35- D ．1-3.已知双曲线()2222:10,0a x y C a bb >->=的渐近线与圆()2221x y +-=有公共点，则双曲线C 的离心率的取值范围是（ ）A ．(]1,2B ．[)2,+∞ C.⎛ ⎝⎦ D ．⎫+∞⎪⎪⎣⎭ 4．若向量1tan 67.5,cos157.5a ⎛⎫=︒ ⎪︒⎝⎭r ，向量()1,sin 22.5b =︒r ，则a b ⋅=r r （ ）A ．2B ．2-．5.已知命题()()()000:0,,p x f x f x ∃∈+∞-=，命题()():,q x R f x f x ∀∈-=.若p 为真命题，且q 为假命题，则函数()f x 的解析式可能为（ ）A ．()1f x x =+B ．()21f x x =+ C.()sin f x x = D ．()312xf x x ⎛⎫=- ⎪⎝⎭6.如图，网格纸上小正方形的边长为1，粗线画出的是某几何体的三视图，则这几何体的表面积为（ ）A ．31B ．52 C. 34122+ D ．2262+7.我国东汉时期的数学名著《九章算术》中有这样个问题：今有共买鸡，人出九，盈十一；人出六，不足十六.问人数、鸡价各几何？设总人数为x ，鸡的总价为y ，如图的程序框图给出了此问题的一种解法，则输出的,x y 的值分别为（ ）A ．7,58B ．8,64 C.9,70 D ．10,768.已知函数()()sin 30f x x x ωωω=>，若集合()(){}0,1x f x π∈=-含有4个元素，则实数ω的取值范围是（ ）A ．35,22⎡⎫⎪⎢⎣⎭B ．35,22⎛⎤ ⎥⎝⎦ C.725,26⎡⎫⎪⎢⎣⎭ D ．725,26⎛⎤ ⎥⎝⎦9.函数()x x f x e ae -=+与()2g x x ax =+在同一坐标系内的图象不可能是（ ）A ．B ．C.D ．10.已知,,,A B C D 是球O 表面上四点，点E 为BC 的中点，若,,120AE BC DE BC AED ⊥⊥∠=︒,3,2AE DE BC ===，则球O 的表面积为（ ）A ．73πB ．283π C. 4π D ．16π11.已知抛物线2:4C y x =的焦点为F ，过点F 且斜率为1的直线与抛物线C 交于点,A B ，以线段AB 为直径的圆E 上存在点,P Q ，使得以PQ 为直径的圆过点()2,D t -，则实数t 的取值范围为（ ） A ．(][),13,-∞-⋃+∞ B ．[]1,3- C. (),2727,⎤⎡-∞⋃++∞⎦⎣ D ．27,27⎡⎤⎣⎦12.已知函数()()ln 10xf x x a a=-->，若()y f x =与()()y f f x =的值域相同，则a 的取值范围是（ ）A ．310,e ⎛⎤ ⎥⎝⎦B ．210,e ⎛⎤⎥⎝⎦C. (]0,1 D ．(]1,e第Ⅱ卷（共90分）二、填空题（每题5分，满分20分，将答案填在答题纸上）13.()()621x x y --的展开式中25x y 的系数为_ ．14. 已知不等式组1010220x y x y x y +-≥⎧⎪-+≥⎨⎪--≤⎩表示的平面区域为D ，若对任意的()00,x y D ∈，不等式00426t x y -<-+ 4t <+恒成立，则实数t 的取值范围是_ ．15. 已知函数()11112f x x x x =++++，由()111111f x x x x -=++-+是奇函数，可得函数()f x 的图象关于点()1,0-对称，类比这一结论，可得函数()237126x x x g x x x x +++=++++++L 的图象关于点_ 对称.16. 在ABC ∆中，角,,A B C 的对边分别为,,a b c ，设ABC ∆的面积为S ，若22232a b c =+，则222Sb c +的最大值为_ ．三、解答题 （本大题共6小题，共70分.解答应写出文字说明、证明过程或演算步骤.）17.已知等差数列{}n a 的公差10,0d a ≠=，其前n 项和为n S ，且2362,,a S S +成等比数列. （1）求数列{}n a 的通项公式；（2）若()2121n n n b S ++=，数列{}n b 的前n 项和为n T ，求证：122n T n -<. 18.下表为2014年至2017年某百货零售企业的线下销售额(单位：万元），其中年份代码x =年份2013-.（1）已知y 与x 具有线性相关关系，求y 关于x 的线性回归方程，并预测2018年该百货零售企业的线下销售额；（2）随着网络购物的飞速发展，有不少顾客对该百货零售企业的线下销售额持续增长表示怀疑，某调査平台为了解顾客对该百货零售企业的线下销售额持续增长的看法，随机调查了55位男顾客、50位女顾客(每位顾客从“持乐观态度”和“持不乐观态度”中任选一种）， 其中对该百货零售企业的线下销售额持续增长持乐观态度的男顾客有10人、女顾客有20人，能否在犯错误的概率不超过0.025的前提下认为对该百货零售企业的线下销售额持续增长所持的态度与性别有关？ 参考公式及数据：1221ni ii nii x ynx y bxnx==-=-∑∑$，$ay bx =-$，()()()()()22n ad bc K a b c d a c b d -=++++，n a b c d =+++19.如图，在四棱锥P ABCD -中，底面ABCD 是平行四边形，22232,AB AC AD PB PB AC ====⊥,,.（1）求证：平面PAB ⊥平面PAC ；（2）若45PBA ∠=︒，试判断棱PA 上是否存在与点,P A 不重合的点E ，使得直线CE 与平面PBC 所3，若存在，求出AE AP的值；若不存在，请说明理由. 20.已知椭圆()2222:10x y C a b a b +=>>的离心率2e ，且椭圆C 与圆224:3O x y +=的4个交点恰为一个正方形的4个顶点. （1）求椭圆C 的标准方程；（2）已知点A 为椭圆C 的下顶点，,D E 为椭圆C 上与A 不重合的两点，若直线AD 与直线AE 的斜率之和为2a ，试判断是否存在定点G ，使得直线DE 恒过点G ，若存在，求出点G 的坐标；若不存在，请说明理由.21.已知函数()212x f x e x ax =-+.（1）当1a >-时，试判断函数()f x 的单调性；（2）若1a e <-，求证：函数()f x 在[)1,+∞上的最小值小于12. 请考生在22、23两题中任选一题作答，如果多做，则按所做的第一题记分.22.选修4-4：坐标系与参数方程在平面直角坐标系中，曲线1C 的参数方程为2cos sin x r y r ϕϕ=+⎧⎨=⎩（0,r ϕ>为参数)，以坐标原点O 为极点，x 轴正半轴为极轴建立极坐标系，曲线1C 经过点2,3P π⎛⎫⎪⎝⎭，曲线2C 的极坐标方程为()22cos 26ρθ+=.（1）求曲线1C 的极坐标方程；（2）若()12,,,2A B πραρα⎛⎫+ ⎪⎝⎭是曲线2C 上两点，求2211OA OB+的值. 23.选修4-5：不等式选讲已知函数()()2,1f x x a g x bx =-=+.（1）当1b =时，若()()12f xg x +的最小值为3，求实数a 的值； （2）当1b =-时，若不等式()()1f x g x +<的解集包含1,12⎡⎤⎢⎥⎣⎦，求实数a 的取值范围.试卷答案一、选择题1-5: CABAC 6-10: BCDCB 11、12：DA二、填空题13. 12- 14. ()3,5 15.7,62⎛⎫- ⎪⎝⎭三、解答题17.（1）由10a =得()1n a n d =-，()12n n n dS -=，因为2342,,a S S +成等比数列，所以()23242S a S =+， 即()()2326d d d =+⋅，整理得23120d d -=，即240d d -=， 因为0d ≠，所以4d =， 所以()()14144n a n d n n =-=-=-. （2）由（1）可得()121n S n n +=+，所以()()()221212121n n n n b S n n +++==+()1111222121n n n n ⎛⎫=+=+- ⎪++⎝⎭，所以1111112122231n T n n n ⎛⎫=+-+-++- ⎪+⎝⎭L 111212212n n n ⎛⎫=+-<+ ⎪+⎝⎭，所以221n T n -<. 18.（1）由题意得 2.5,200x y ==，4421130,2355ii i i i x x y ====∑∑，所以4142221423554 2.520035571304 2.554i ii i i x yxybx x==--⨯⨯====-⨯-∑∑$， 所以$20071 2.522.5ay bx =-=-⨯=$， 所以y 关于x 的线性回归方程为$7122.5y x =+. 由于201820135-=，所以当5x =时，$71522.5377.5y =⨯+=， 所以预测2018年该百货零售企业的线下销售额为377.5万元. （2）由题可得22⨯列联表如下：故2K 的观测值()210510304520 6.10955503075k ⨯⨯-⨯=≈⨯⨯⨯，由于6.109 5.024>，所以可以在犯错误的概率不超过0.025的前提下认为对该百货零售企业的线下销售额持续増长所持的态度与性别有关.19.（1）因为四边形ABCD 是平行四边形，22AD =，所以22BC AD ==， 又2AB AC ==，所以222AB AC BC +=，所以AC AB ⊥， 又PB AC ⊥，且AB PB B ⋂=，所以AC ⊥平面PAB ， 因为AC ⊂平面PAC ，所以平面PAB ⊥平面PAC . （2）由（1）知,AC AB AC ⊥⊥平面PAB ，如图，分别以,AB AC 所在直线为x 轴、y 轴，平面PAB 内过点A 且与直线AB 垂直的直线为z 轴，建立空间直角坐标系A xyz -，则()()()()()0,0,0,2,0,0,0,2,0,0,2,0,2,2,0A B C AC BC ==-u u u r u u u r由45PBA ∠=︒，32PB =()1,0,3P -， 所以()()1,0,3,3,0,3AP BP =-=-u u u r u u u r，假设棱PA 上存在点E ，使得直线CE 与平面PBC， 设()01AEAP λλ=<<， 则(),0,3AE AP λλλ==-u u u r u u u r ，(),2,3CE AE AC λλ=-=--u u u r u u u r u u u r，设平面PBC 的法向量为(),,n x y z =r，则00n BC n BP ⎧⋅=⎪⎨⋅=⎪⎩r u u u r r u u u r,即220330x y x z -+=⎧⎨-+=⎩，令1z =，可得1x y ==， 所以平面PBC 的一个法向量为()1,1,1n =r，设直线CE 与平面PBC 所成的角为θ，则sin cos ,n CE θ==r u u ur==， 整理得2340λλ+=，因为01λ<<，所以2340λλ+>，故2340λλ+=无解，所以棱PA 上不存在与点,P A 不重合的点E ，使得直线CE 与平面PBC. 20.（1）因为椭圆C 的离心率e ，=222a b =， 因为椭圆C 与圆O 的4个交点恰为一个正方形的4个顶点，所以直线y x =与圆O的一个交点⎝⎭在椭圆C 上，所以2222133a b +=， 由2222222133a b ab ⎧=⎪⎨+=⎪⎩解得2221a b ⎧=⎪⎨=⎪⎩，所以椭圆C 的标准方程为2212x y +=. （2）由（1）知()0,1A -，当直线DE 的斜率存在时，设直线DE 的方程为()1y kx t t =+≠±，代入2212x y +=得，()222124220k x ktx t +++-=，所以()()222216412220k t k t ∆=-+->，即2221t k -<.设()()1122,,,D x y E x y ，则2121222422,1212kt t x x x x k k -+=-=++， 因为直线AD 与直线AE 的斜率之和为2a ，所以121211AD AE y y k k x x +++=+=()()121212121112t x x kx t kx t k x x x x +++++++=+()22142222t kt k a t +⋅=-==-， 整理得1t k =-，所以直线DE 的方程为()111y kx t kx k k x =+=+-=-+， 显然直线()11y k x =-+经过定点()1,1.当直线DE 的斜率不存在时，设直线DE 的方程为x m =，因为直线AD 与直线AE 的斜率之和为2a ，设(),D m n ，则(),E m n -， 所以21122AD AE n n k k a m m m+-++=+===，解得1m =， 此时直线DE 的方程为1x =，显然直线1x =经过定点()1,1. 综上，存在定点()1,1G ，使得直线DE 恒过点G . 21.（1）由题可得()x f x e x a '=-+， 设()()x g x f x e x a '==-+，则()1x g x e '=-， 所以当0x >时()0g x '>，()f x '在()0,+∞上单调递增， 当0x <时()0g x '<，()f x '在(),0-∞上单调递减，所以()()01f x f a ''≥=+，因为1a >-，所以10a +>，即()0f x '>， 所以函数()f x 在R 上单调递増.（2）由（1）知()f x '在[)1,+∞上单调递増， 因为 1a e <-，所以()1 10f e a '=-+<，所以存在()1,t ∈+∞，使得()0f t '=，即0t e t a -+=，即t a t e =-，所以函数()f x 在[)1,t 上单调递减，在(),t +∞上单调递増，所以当[)1,x ∈+∞时()()()()222min 1111222t t t t f x f t e t at e t t t e e t t ==-+=-+-=-+， 令()()2111,2x h x e x x x =-+>，则()1()0x x x h e =-<'恒成立， 所以函数()h x 在()1,+∞上单调递减，所以()()21111122h x e <-+⨯=， 所以()211122t e t t -+<，即当[)1,x ∈+∞时()min 12f x <， 故函数()f x 在[)1,+∞上的最小值小于12. 22.（1）将曲线1C 的参数方程2cos sin x r y r ϕϕ=+⎧⎨=⎩化为普通方程为()2222x y r -+=， 即222440x y x r +-+-=，由222,cos x y x ρρθ=+=，可得曲线1C 的极坐标方程为224cos 40r ρρθ-+-=，因为曲线1C 经过点2,3P π⎛⎫ ⎪⎝⎭，所以22242403cos r π-⨯⨯+-=， 解得2r =(负值舍去），所以曲线1C 的极坐标方程为4cos ρθ=.（2）因为()12,,,2A B πραρα⎛⎫+ ⎪⎝⎭在曲线()22:2cos 26C ρθ+=上， 所以()212cos 26ρα+=，()222cos 22cos 262παρα⎡⎤⎛⎫++=+= ⎪⎢⎥⎝⎭⎣⎦， 所以22221211112cos 22cos 22663OA OB ααρρ+-+=+=+=. 23.（1）当1b =时，()()11112222a a a f x g x x x x x +=-++≥---=+， 因为()()12f xg x +的最小值为3，所以132a +=，解得8a =-或4. （2）当1b =-时，()()1f x g x +<即211x a x -+-<， 当1,12x ⎡⎤∈⎢⎥⎣⎦时，211x a x -+-<2112x a x x a x ⇔-+-<⇔-<，即3a x a <<， 因为不等式()()1f x g x +<的解集包含1,12⎡⎤⎢⎥⎣⎦，所以1a >且132a <， 即312a <<，故实数a 的取值范围是31,2⎛⎫ ⎪⎝⎭.。

专题04 函数的定义域、值域的求法【热点聚焦与扩展】函数的定义域作为函数的要素之一，是研究函数的基础，也是高考的热点.函数的值域也是高考中的一个重要考点，并且值域问题通常会渗透在各类题目之中，成为解题过程的一部分.所以在掌握定义域求法的基础上，掌握一些求值域的基本方法，当需要求函数的取值范围时便可抓住解析式的特点，寻找对应的方法从容解决.（一）函数的定义域1.求函数定义域的主要依据是：①分式的分母不能为零；②偶次方根的被开方式其值非负；③对数式中真数大于零，底数大于零且不等于1.2.①若()y f x =的定义域为(),a b ，则不等式()a g x b <<的解集即为函数()()y f g x =的定义域； ②若()()y f g x =的定义域为(),a b ，则函数()g x 在(),a b 上的的值域即为函数()y f x =的定义域． 3.对于分段函数知道自变量求函数值或者知道函数值求自变量的问题，应依据已知条件准确找出利用哪一段求解.4.与定义域有关的几类问题第一类是给出函数的解析式，这时函数的定义域是使解析式有意义的自变量的取值范围；第二类是实际问题或几何问题，此时除要考虑解析式有意义外，还应考虑使实际问题或几何问题有意义； 第三类是不给出函数的解析式，而由()f x 的定义域确定函数)]([x g f 的定义域或由)]([x g f 的定义域确定函数()f x 的定义域．第四类是已知函数的定义域，求参数范围问题，常转化为恒成立问题来解决． （二）函数的值域1.利用函数的单调性:若)(x f 是],[b a 上的单调增(减)函数,则)(a f ,)(b f 分别是)(x f 在区间],[b a 上取得最小(大)值,最大(小)值.2.利用配方法:形如2(0)y ax bx c a =++≠型,用此种方法,注意自变量x 的范围. 3.利用三角函数的有界性,如sin [1,1],x ∈-cos [1,1]x ∈-.4.利用“分离常数”法:形如y=ax bcx d++ 或2ax bx e y cx d ++=+ (c a ,至少有一个不为零)的函数,求其值域可用此法. 一般地，① ax by cx d+=+：换元→分离常数→反比例函数模型② 2ax bx cy dx e++=+：换元→分离常数→a y x x =±模型③ 2dx ey ax bx c+=++：同时除以分子：21y ax bx c dx e=+++→②的模型 ④ 22ax bx cy dx ex f++=++：分离常数→③的模型共同点：让分式的分子变为常数5.利用换元法: 在高中阶段，与指对数，三角函数相关的常见的复合函数分为两种： ① ()()(),log ,sin f x a y ay f x y f x ===⎡⎤⎡⎤⎣⎦⎣⎦：此类问题通常以指对，三角作为主要结构，在求值域时可先确定()f x 的范围，再求出函数的范围.② ()()(),log ,sin xa y f a y f x y f x ===：此类函数的解析式会充斥的大量括号里的项，所以可利用换元将解析式转为()y f t =的形式，然后求值域即可.③形如y ax b =+,可用此法求其值域. 6.利用基本不等式法:7.导数法:利用导数与函数的连续性求图复杂函数的极值和最值,然后求出值域8.分段函数的函数值时，应根据所给自变量值的大小选择相应的解析式求解，有时每段交替使用求值．若给出函数值或函数值的范围求自变量值或自变量的取值范围，应根据每一段的解析式分别求解，但要注意检验所求自变量值域范围是否符合相应段的自变量的取值范围．数形结合法也可很方便的计算值域. 9.由判别式法来判断函数的值域时，若原函数的定义域不是实数集时，应综合函数的定义域，将扩大的部 分剔除.10.数形结合法：即作出函数的图象，通过观察曲线所覆盖函数值的区域确定值域，以下函数常会考虑进行数形结合.（1）()f x 的函数值为多个函数中函数值的最大值或最小值，此时需将多个函数作于同一坐标系中，然后确定靠下（或靠上）的部分为该()f x 函数的图象，从而利用图象求得函数的值域.（2）函数的解析式具备一定的几何含义，需作图并与解析几何中的相关知识进行联系，数形结合求得值域，如：分式→直线的斜率；被开方数为平方和的根式→两点间距离公式.（三）常见函数的值域：在处理常见函数的值域时，通常可以通过数形结合，利用函数图像将值域解出，熟练处理常见函数的值域也便于将复杂的解析式通过变形与换元向常见函数进行化归.（1）一次函数（y kx b =+）：一次函数为单调函数，图像为一条直线，所以可利用边界点来确定值域. （2）二次函数（2y ax bx c =++），给定区间.二次函数的图像为抛物线，通常可进行配方确定函数的对称轴，然后利用图像进行求解.（关键点：①抛物线开口方向，②顶点是否在区间内）. （3）反比例函数：1y x=（1）图像关于原点中心对称（2）当,0x y →+∞→ ，当,0x y →-∞→. （4）对勾函数：()0ay x a x=+> ① 解析式特点：x 的系数为1；0a >注：因为此类函数的值域与a 相关，求a 的值时要先保证x 的系数为1，再去确定a 的值 例：42y x x =+，并不能直接确定4a =，而是先要变形为22y x x ⎛⎫=+ ⎪⎝⎭，再求得2a =② 极值点：x x ==③ 极值点坐标：(,-④ 定义域：()(),00,-∞+∞⑤ 自然定义域下的值域：(),2,a ⎡-∞-+∞⎣（5）函数：()0ay x a x=-> 注意与对勾函数进行对比① 解析式特点：x 的系数为1；0a >② 函数的零点：x =③ 值域：R（5）指数函数（xy a =）：其函数图像分为1a >与01a <<两种情况，可根据图像求得值域，在自然定义域下的值域为()0,+∞（6）对数函数（log a y x =）其函数图像分为1a >与01a <<两种情况，可根据图像求得值域，在自然定义域下的值域为()0,+∞【经典例题】例1【2017山东理】设函数A ，函数y=ln(1-x)的定义域为B ,则A B ⋂=（ ）（A ）（1,2） （B ）⎤⎦(1,2 （C ）（-2,1） （D ）[-2,1)例2【2018（ ）D.例3【2018届河南省中原名校（即豫南九校）高三第六次质量考评】已知函数()()2231,3{2,3x a x a x f x a x --++≤=>（0a >且1a ≠），若()fx 有最小值，则实数a 的取值范围是（ ）A. 50,6⎛⎤ ⎥⎝⎦B. 51,4⎛⎫ ⎪⎝⎭C. 550,1,64⎛⎤⎛⎤⋃ ⎥⎥⎝⎦⎝⎦D. ()50,1,4⎡⎫⋃+∞⎪⎢⎣⎭例4【2018届广东省深圳市南山区高三上学期期末】若满足条件：上的值域为的取值范围是（ ）A. （﹣∞，ln2﹣1）B. （﹣∞，ln2﹣1]C. （1﹣ln2，+∞）D. [1﹣ln2，+∞）例5.已知函数22y x x =+在闭区间[],a b 上的值域为[]1,3-，则满足题意的有序实数对(),a b 在坐标平面内所对应点组成图形为（ ）A. B.C. D.例6.（1）函数()1f x =的值域为（ ）A. []3,1-B. [)1,-+∞C. ⎡⎣D. 1⎡⎤-⎣⎦（2）函数()f x =）A. (),1-∞B. (],1-∞C. (]0,1D. []0,1（3）函数()f x =的值域为________例7：（1）函数2224723x x y x x +-=++的值域为（ ）A. 9,22⎡⎤-⎢⎥⎣⎦B. 7,03⎛⎫- ⎪⎝⎭C. 7,03⎡⎫-⎪⎢⎣⎭D. 9,22⎡⎫-⎪⎢⎣⎭（2）函数sin 1cos 2x y x -=+的值域为_________例8.设且，函数在的最大值是14，求的值．例9【2018届山西省太原市实验中学高三上学期9月月考】已知函数()1(1)1x xa f x a a -=>+ (1)判断函数()f x 的奇偶性. (2)求()f x 的值域.例10【2018届安徽省宿州市汴北三校联考高三上学期期中】已知()2ax bf x x+=是定义在][(),31,b b -∞-⋃-+∞上的奇函数.（1）若()23f =，求,a b 的值;（2）若1-是函数()f x 的一个零点，求函数()f x 在区间[]2,4的值域.【精选精练】1．【2018届二轮同步（高考题）】下列函数中，其定义域和值域分别与函数y ＝10lg x的定义域和值域相同的是( )A. y ＝xB. y ＝lg xC. y ＝2xD. y2．【2019届高考一轮】已知集合则A∩(∁R B)=( )A. [-3,5]B. (-3,1)C. (-3,1]D. (-3,+∞)3．【2018届安徽合肥八高三上学期期中】函数()ln 3x f x +=( )A. (－3,0)B. (－3,0]C. (－∞，－3)∪(0，＋∞)D. (－∞，－3)∪(－3,0)4．【2018届东北三省三校（哈师大附中、东北师大附中、辽宁省实验中学）高三第一次模拟】已知集合( ) B.5．已知函数()2xy f =的定义域是[]1,1-，则函数()2log y f x =的定义域是（ ）A. ()0,+∞B. ()0,1C.[]1,2 D. ⎤⎦6．【2018届江西省南昌市高三第一轮】已知函数()1y f x =+的定义域是[]0,3，则()xy f e =的定义域是（ ）A. []0,2ln2B. []1,2ln2C. (],ln3-∞D. (],ln2-∞7．下列四个函数：①y＝3－x ；②y＝2x －1(x>0)；③y＝x 2＋2x －10；④y＝()0{ 1(0)x x x x≤>，其中定义域与值域相同的函数的个数为( )A. 1B. 2C. 3D. 48．【2018届江西省高三监测】函数()f x 的定义域为D ，若满足：①()f x 在D 内是单调函数；②存在[],a b D ⊆使得()f x 在[],a b 上的值域为,22a b⎡⎤⎢⎥⎣⎦，则称函数()f x 为“成功函数”.若函数()()2xmtmf x log +=（其中0m >，且1m ≠）是“成功函数”，则实数t的取值范围为（ ）A. ()0,+∞B. 1,8⎛⎤-∞ ⎥⎝⎦C. 11,84⎡⎫⎪⎢⎣⎭D. 10,8⎛⎤ ⎥⎝⎦9．【2018届北京西城31中高三上期中】若__________．10．【2018届南京市、盐城市高三一模】设函数1xx y e a e=+-的值域为A ，若[)0,A ⊆+∞，则实数a 的取值范围是________．11．【2018届北京市西城区高三期末】已知函数()2,2,{ 1, 3.x x x c f x c x x+-≤≤=<≤ 若0c =，则()f x 的值域是____；若()f x 的值域是1,24⎡⎤-⎢⎥⎣⎦，则实数c 的取值范围是____． 12．已知函数()f x 的定义域为A ，若其值域也为A ，则称区间A 为()f x 的保值区间，若()ln f x x m x =+-的保值区间是[)e,+∞，则m 的值为__________.。

（考试时间：150分钟试卷满分：150分）注意事项：1.答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上。

2.选择题的作答：每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

3.非选择题的作答：用签字笔直接答在答题卡上对应的答题区域。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4.考试结束后，请将本试卷和答题卡一并交回。

第I卷第一部分听力（共两节，满分30分）做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（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，并标在试卷的相应位置。

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. Why is the man having trouble finding lamb?A. It is not common where he livesB. There is no lamb at Harvard MeatsC. He doesn’t know what kind he wants2. What is the conversation mainly about?A. Losing weightB. Meeting old classmatesC. Graduating from school3. What do the speakers have in common?A. They like to walk their dogs togetherB. hey own the same kind of dogC. They have the same job4. What do the speakers already have enough?A. MeatB. BreadC. Vegetables5. Why did the officer stop the woman?A. She was speedingB. He thought she was in dangerC. She was making too much noise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。

（考试时间：150分钟试卷满分：150分）注意事项:1。

答题前，先将自己的姓名、准考证号填写在试题卷和答题卡上. 2。

选择题的作答：每小题选出答案后，用2B铅笔把答题卡上对应题目的答案标号涂黑。

写在试题卷、草稿纸和答题卡上的非答题区域均无效.3.非选择题的作答：用签字笔直接答在答题卡上对应的答题区域。

写在试题卷、草稿纸和答题卡上的非答题区域均无效。

4.考试结束后，请将本试卷和答题卡一并交回。

第I卷第一部分听力（共两节，满分30分)做题时，先将答案标在试卷上。

录音内容结束后，你将有两分钟的时间将试卷上的答案转涂到答题卡上。

第一节（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，并标在试卷的相应位置。

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. Why is the man having trouble finding lamb？A。

It is not common where he livesB. There is no lamb at Harvard MeatsC. He doesn't know what kind he wants2。

What is the conversation mainly about？A. Losing weightB. Meeting old classmatesC。

Graduating from school3. What do the speakers have in common?A. They like to walk their dogs togetherB. hey own the same kind of dogC. They have the same job4。

What do the speakers already have enough？A. Meat B。

河南省中原名校2018届高三高考预测金卷英语试题第Ⅰ卷第一部分听力（百强校英语解析团队专供）（共两节，满分30分）第一节（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，并标在试卷的相应位置。

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。

第二部分阅读理解（百强校英语解析团队专供）（共两节，满分40分）第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C、和D）中，选出最佳选项。

ATired of eating at the same boring restaurants? Looking for a change? Here are some restaurants that offer an original restaurant experience. See for yourself which ones you fancy.An Exciting DinnerLooking for something adventurous? The Archipelago in London is just the thing for you. One of the most popular dishes in this restaurant is crocodile. Yes, you read it correctly, crocodile. If that is not daring enough for you, there are plenty of other dishes on the menu.A Restaurant with a ViewWant to enjoy the sights while you’re eating? Try the Top of the World restaurant. At about 244 meters above Las Vegas, diners can enjoy a spectacular view of Las Vegas in this revolving restaurant. However, the real adventure starts at the end of the meal. That’s when the customers are taken from their seats at ground level to the observation rooms in elevators that travel at a remarkable speed.A Theatrical ExperienceLonging for dinner with some drama? Dine with mimes at Mime in Manchester. Theservice is unique. Your waiter will communicate your order in mime and keep you entertained with performances in between courses.An Unusual SettingDon’t care about presentation? You’ll be fine at the Modern Toilet restaurant in Taiwan. The theme of this restaurant is the toilet, and you would be surprised how many people queue up for the experience of eating on toilet seats.1. What would you expect at the Top of the World restaurant?A. A free ride.B. An interesting menu.C. A show d uring the meal.D. A bird’s-eye view of London.2. Which restaurant requires customers to order in an unusual way?A. Archipelago.B. Top of the World.C. Mime.D. Modern Toilet.3. Where is the passage likely to be taken from?A. A research paper.B. An entertainment magazine.C. A thrilling novel.D. A fashion magazine.【答案】1. A 2. C 3. B【解析】本文是一篇广告布告类阅读。

2018届河南省中原名校（即豫南九校）高三第六次质量考评英语试题第一部分听力（共两节，满分30分）第一节（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。

例：How much is the shirt?A. £ 19.15.B. £ 9.18.C. £ 9.15.答案是C。

1. What does the woman prefer to do?A. Type the papers herself.B. Have the papers checked.C. Go over the papers on her own.2. What does the man ask the woman to do?A. Share the cupboard with him.B. Buy a desk for him.C. Get a key for Joe.3. Where docs this conversation probably take place?A. In a library.B. In a bookstore.C. In a classroom.4. How did the woman hear about the wedding?A. She got Bettina’s call.B. She received the invitation.C. She ran across Sally.5. Which part of the man’s body hurts?A. His arm.B. His ankle.C. His leg.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，并标在试卷的相应位置。

河南省中原名校2018届高三高考预测金卷英语试题第Ⅰ卷第一部分听力（百强校英语解析团队专供）（共两节，满分30分）第一节（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，并标在试卷的相应位置。

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。

例：How much is the shirt ?A. $19.15.B. $9.18C. $9.15答案是C.1. What will the man do first?A. Fix a bike.B. Have a coke.C. Clean the windows.2. How is the woman learning Chinese?A. On the radio.B. On television.C. On the Internet.3. What has made the man so upset?A. The ugly walls.B. His kids.C. The business.4. When will the man leave for Tianjin?A. At 5:00.B. At 5:30.C. At 6:00.5. What are the speakers mainly talking about?A. A storm.B. A tree.C. A house.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，从每题所给的A、B、C三个选项中选出最佳选项，并标在试卷的相应位置。

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。

请听第6段材料，回答第6至7题。

6. How many people did the woman travel with?A. Two.B. Three.C. Four.7. Where did the woman not go?A. China.B. Singapore.C. Malaysia.请听第7段材料，回答第8至9题。

2015届中原名校豫南九校一轮复习质最检测高三英语试卷考试时间：120分钟试卷满分：150分注意事项：1．请将各题答案填在试卷后面的答题卷上。

2．本试卷主要考试内容：高考全部内容。

第Ⅰ卷第一部分阅读理解（共两节，满分40分）第—节（共15小题；每小题2分，满分30分）1. What is the purpose of the advertisement?A. To seek an architect.B. To look for a computer programmer.C. To search for an information system team head.D. To advertise excellent staff performance.2. What should an individual interested in the notice do?A. Visit the company as soon as possible.B. Telephone Tanya Ray directly.C. Describe his or her qualifications to Tanya Ray.D. E-mail the company about their IT architecture experience.3. What can we learn from both passages?A. Teamwork is important.B. An opportunity may be extended.C. Bilingual experts are sought.D. A company runs at a fast pace.BMost readers of contemporary literature know about The Wonderful Wizard of Oz by L. Frank Baum. But what about The Woggle-Bug , The Marvelous Land of Oz , The TikTok Man of Oz, and The Patchwork Man of Oz? These four novels, plus nine more, were sequels（续篇）to one of the most popular children’s books of all time.Baum’s life story isn’t like any of the characters in Oz at all. Instead, he was raised in a wealthy household with eight other brothers and sisters. His father was an oil man that became rich in the productive fields of Pennsylvania. Although he was frequently ill in his childhood, he never stopped daydreaming. When he was a teenager, Baum’s father bought him a cheap printing press and soon Baum was publishing a journal that even had paid advertising. As he got older, Baum produced more journals about the things he was interested in, such as stamp collecting and raising a special kind of chicken.Baum had a lifelong love of the theater and would always take parts in plays. In 1880, his father built him a theater, where Baum wrote, acted, and gathered other actors for his plays. Two years later, during the production of Baum’s ironically-titled （具有讽刺意味的标题）Matches, the theater caught fire and burnt to the ground, causing most of Baum’s plays to be destroyed. Later, Baum focused on writing and hit it big with The Wonderful Wizard of Oz. After that, Oz was turned into a play and Baum’s dreams had finally come true. For the rest of his life, Baum swore off writing sequels to the Oz series, but kids wrote him letters, so he continued. Baum’s career was highly distinguished and he even predicted the existence of TVs, computers, and advertising on clothing more than 100 years beforethey existed.4. How many sequels are there to The Wonderful Wizard of Oz?A. A dozen.B. Four.C. Nine.D. Thirteen.5. Which of the following is TRUE of Baum’s childhood?A. Baum was the only child in his family.B. Baum was born into a very poor family.C. Baum had a wide range of interests and hobbies.D. Baum began publishing cartoons in his teens.6. Why does the passage refer to the play Matches as ironically-titled?A. It was a strange name for a play.B. It was meant to fire up readers against the government.C. It was a total failure because people didn’t like it.D. The play was produced when an accidental fire happened.7. Which of the following would best describe Baum’s role as a writer?A. Realistic.B. Confident.C. Imaginative.D. Energetic.CA name is supposed to last a lifetime, so picking a name for your baby doesn’t seem like something you would want to base on current trends. The general trend in baby naming these days is all about originality. Classic, traditional names like the ones given to the characters of most Hollywood movies over the past 30 years are on their way out. Instead of common and familiar names, new parents want unique and even strange ones.This can mean reaching a bit further into the past for names that were typical a few generations or more ago but are uncommon now. Old-fashioned names have a strangeness that many new parents judge to be cool. Need another option for your special little boy or girl? Try a foreign name because a name from another language is sure to draw attention and might give your child an attractive image within your own culture. After all, if you look beyond your own language, there are an incredible number of charming names to choose from. Another option is to use a last name as a first name. Parents who want to honor someone important or someone famous like a politician, artist, or writer might tend to give the famous surname to their child as a first name. Hence parents that like music or sports have been choosing names like Jackson or Jordan to honor their favorite people. Celebrities（名人）have always liked to stand out from the crowd, and they are making sure their children do as well, with names like Moon Unit, Apple, and Jermajesty. Just remember, a baby’s name is theirs for life, so choose wisely and avoid picking a name that will likely result in endless jokes and nicknames for the first 20 years of his or her life.8. What is the first paragraph mainly about?A. The popularity of original baby names.B. Current events influencing naming babies.C. Hollywood celebrities prefer classic names.D. Picking out names for children isn’t so important.9. What does the expression “on their way out” mean?A. Losing popularity.B. Drawing attention.C. Causing dissatisfaction.D. Gaining force.10. In regard to baby naming, what does the author think is a good idea?A. Naming from only the parents’ mother tongue.B. Naming children after someone important.C. Using names of foreign streets, cities or countries.D. Using strange name making children instantly popular.11. What can he inferred from the final sentence?A. Babies named Jackson will have great musical talent.B. Parents can choose their child’s name and nickname.C. Names from jokes are becoming more popular now.D. Proper names won’t bring discomfort when they are growing up.DLong ago in ancient Greece, people knew that the worst scars left by terrible events were psychological as well as physical. They knew that people that survived terrifying situations were disturbed by nightmares, flashbacks, illogical anger. But it was not until the time of the Vietnam War that psychiatrists began to formally study Post-Traumatic （创伤的）Stress Disorder （PTSD）. Although many people have suffered traumatic events as victims of crimes, wars, or natural disasters, most return to a normal state of mental health. Some people, however, are troubled by their memories from these experiences for the rest of their lives.Tile reason for this is because of real changes in the sufferers’ brains. PTSD patients usually show a low level of cortisol in their brains. Cortisol helps people to return to their normal, unstressed state, but rather than relaxing after trauma, sufferers of PTSD stay in their stressed state. Furthermore, research shows that the hippocampuses （海马神经）of Vietnam veterans （老兵）suffering from PTSD are unusually small. In the brain, the hippocampus controls the amygdala, which is linked to fear and the memory of fear. A smaller hippocampus may mean the amygdala’s influence is too strong, giving rise to unreasonable responses to stress.While earlier generations of soldiers and disaster victims simply had to live with the problem, sufferers nowadays have been helped through treatments developed by doctors since the 1970s. The most successful methods to reduce symptoms is to use cognitive therapy（认知疗法）, which is avoiding and reducing negative thought patterns, and drugs. In particular, MDMA, which has been tested because its positive effect on moods, lets patients discuss their memories without triggering their fear response.While there may never be a complete cure for PTSD, it is now widely recognized as a problem. Military personnel and disaster survivors are screened for symptoms, and those who need help are no longer ignored.12. Which one of the following is NOT mentioned as a symptom of PTSD?A. Bad dreams.B. Poor concentration.C. Flashbacks.D. Anger.13. According to the passage, PTSD can be caused by _______.A. genetic disorderB. a smaller hippocampusC. high levels of cortisol in the brainD. an abnormal state of mind14. What is the best way to cure PTSD?A. Brain surgery.B. Therapy for those heading to war.C. The reduction of negative thoughts.D. Never allow a person to be involved in a traumatic event.15. What can be inferred from the passage?A. PTSD has been around as long as wars.B. PTSD is caused by only one thing.C. Most sufferers are civilians, not members of the military.D. Veterans of the Vietnam War drew attention to the issue.第二节（共5小题；每小题2分，满分10分）根据短文内容，从短文后的选项中选出能填入空白处的最佳选项。

河南省中原名校（即豫南九校）2017-2018学年高一上学期期末考试英语试题（考试时间：100分钟试卷满分：120分）第I卷第一部分听力（略）第二部分：阅读理解(共两节，满分40分)第一节（共15小题；每小题2分，满分30分）阅读下列短文，从每题所给的四个选项（A、B、C和D）中，选出最佳选项。

AGames and HobbiesThere are websites for nearly every game and hobby out there.Teen ReadsYoung book lovers will enjoy TeenReads. The website features reviews of new and popular books for teenagers, along with surveys, contests and places to discuss favorite books. Teens can also work their way through the “ultimate(最终的)” reading list on the site.TeenNickFans of entertainment channel TeenNick will find information on the latest shows, as well as games, videos and quizzes. While the site offers updates(新信息)on TeenNick shows, it also features stories just for teens, offering suggestions on how to survive high school or giving back to school ideas.The InSiteThe InSite is designed for teens who have an interest in improving the world. Teens can learn about social justice, how to build a positive self-image(积极的自我形象)and how to help the planet. They can also submit artwork and writing or discuss how to make the world a better place.ChallengeYouChallengeYou is a computer game design website. Teens can design games on the site or play games designed by other kids and teens. They can share their games with friends or take part in weekly game-building contests. There is also a chat room anda forum(论坛)where site users can discuss game building or arrange to play together.1. Where might you find information on the latest teenager books?A. On TeenReadsB. On TeenNickC. On The InSiteD. On ChallengeYou2. Which of the following statements is TRUE according to the text?A. You can publish your own writing on TeenReadsB. TeenNick is mainly a place to discuss school problemsC. The InSite helps to make a better you and a better worldD. You can find information about games on all these websites3. If you have designed a computer game and want to share it with your friends, you should go to __________.A. TeenReadsB. TeenNickC. The InSiteD. ChallengeYou【答案】1. A 2. C 3. D【解析】尽管互联网充满有趣的网站，但是如果你不知网站地址，它会变得很无聊，本文介绍了4个适合青少年登录的网站。