河南省焦作市普通高中2022-2023学年高三第二次模拟考试各科试题及答案.rar

?高三数学?参考答案?第?页?共?页?文科?焦作市普通高中?学年高三年级第二次模拟考试数学参考答案?文科?解析?本题考查集合的运算?考查运算求解能力?槡?槡?则?槡?解析?本题考查复数的运算?考查运算求解能力?由题意可得?则?槡?解析?本题考查指数和对数的运算?考查逻辑推理的核心素养?槡?所以?解析?本题考查平面向量的数量积?考查运算求解能力?由?得?槡?所以?槡?槡?解析?本题考查线性规划?考查数形结合的数学思想?作出可行域?图略?当直线?经过点?时?有最小值?且最小值为?解析?本题考查三角函数的图象与性质?考查逻辑推理的核心素养?槡?由题可知函数?的最小正周期为?则?解得?即?槡?所以?槡?槡?为偶函数?解析?本题考查算法?考查逻辑推理的核心素养?由程序框图知?第一次运行?第二次运行?第三次运行?第四次运行?第五次运行?第六次运行?第七次运行?所以输出?解析?本题考查等比数列和等差数列的定义?考查逻辑推理的核心素养?设等比数列?的公比为?若?是等比数列?则?为常数?即?为常数?所以?是等差数列?若?是等差数列?设?的公差为?则?为常数?所以?是等比数列?综上?是等比数列?是?是等差数列?的充要条件?解析?本题考查导数的应用?考查抽象概括能力?当?时?由?得?当?时?可得?则?所以?为常数?所以?选项?分别符合?高三数学?参考答案?第?页?共?页?文科?故选?解析?本题考查三角恒等变换?考查运算求解能力?由题可知?则?即?解析?本题考查球的应用?考查空间想象能力?设直三棱柱的高为?外接球的半径为?外接圆的半径为?则?槡?所以?又?令?则?易知?的最小值为?此时?所以该三棱柱外接球表面积的最小值为?解析?本题考查双曲线的综合?考查数学运算和逻辑推理的核心素养?设?为?的中点?所以?则?因为直线?与?的右支交于?两点?所以?解得?槡?经验证?当离心率为槡?时?四点共线?即?的离心率的取值范围为?槡?槡?槡?槡?解析?本题考查圆锥?考查空间想象能力?设直角圆锥侧面展开图的圆心角的弧度数为?底面圆的半径为?母线长为?因为直角圆锥的轴截面为等腰直角三角形?所以?槡?则?解得?槡?槡?解析?本题考查解三角形?考查运算求解能力?由?槡?可得?槡?所以?槡?即?槡?由正弦定理得?槡?所以?槡?所以?槡?即?由余弦定理可得?所以?则?的面积为?槡?解析?本题考查古典概型?考查逻辑推理的核心素养?从?五点中任取三点有?共?种不同取法?取到的三点恰好在同一个侧面有?共?种情况?由古典概型的概率计算公式知?所求的概率为?高三数学?参考答案?第?页?共?页?文科?槡?或槡?或槡?或槡?写对一个即可得满分?解析?本题考查切线方程?考查数形结合的数学思想?设切线?与圆?相切于点?则?切线?的方程为?即?将?与?联立?可得?解 得?槡?或?槡?或?槡?或?槡?所以切线?的方程为槡?或槡?或槡?或槡?解?根据以上数据?这?名学生期末考试的数学成绩小于?分的概率为?因此这?名学生期末考试的数学成绩小于?分的概率的估计值为?分?期中考试的数学成绩平均分为?分?分期末考试的数学成绩平均分为?分?分所以估计这?名学生期末考试的数学成绩的平均分比期中考试数学成绩的平均分提高?分?分?解?当?时?可得?分当?时?分上述两式作差可得?分因为?满足?所以?的通项公式为?分?为奇数?为偶数?所以?分?分所以数列?的前?项和为?分?高三数学?参考答案?第?页?共?页?文科?评分细则?第?问未求?直接得出?扣?分?第?问结果未写成假分数?扣?分?证明?因为在?中?所以?分又?所以?平面?分因为?平面?所以?分?解?作?交?于?因为?平面?所以?分又?所以?平面?分由?则?槡?分四边形?的面积为?槡?槡?分所以四棱锥?的体积为?槡?槡?分评分细则?第?问共?分?证出?得?分?说明?并证出?平面?得?分?证出?得?分?其他方法按步骤酌情给分?解?由?垂直于?轴?可得?分将点?代入?可得?分又?分解得?槡?分所以椭圆?的方程为?分?证明?由?知?则椭圆?的右焦点坐标为?设直线?的方程为?的坐标为?分设?将直线?的方程与椭圆?的方程联立得?恒成立?由韦达定理知?分又?所以?高三数学?参考答案?第?页?共?页?文科?分因为?所以?解得?即点?的横坐标为定值?分评分细则?第?问共?分?正确算出?的值?得?分?正确算出?和?的值?得?分?正确写出?的方程?得?分?第?问共?分?正确联立方程?得?分?写出韦达定理?得?分?正确算出?得?分?得出点?的横坐标为?得?分?其他方法按步骤酌情给分?解?由题可知?分因此?当?时?单调递减?当?时?单调递增?分所以当?时?取得极小值?无极大值?分?当?时?分依题意可知?分构造函数?则?当?时?单调递减?当?时?单调递增?即?所以?当且仅当?时?等号成立?由?可得?即?当且仅当?时?等号成立?所以?分故当?时?恒成立?分当?时?分依据题意可知?解得?分综上所述?的取值范围为?分评分细则?第?问中未说明无极大值?不扣分?其他方法按步骤酌情给分?解?由曲线?的参数方程?槡?槡?为参数?得曲线?的普通方程为?即?分则曲线?的极坐标方程为?分直线?的极坐标方程为?分?将直线?的极坐标方程代入曲线?的极坐标方程?得?分又?所以?即?分?高三数学?参考答案?第?页?共?页?文科?所以直线?的直角坐标方程为?槡?分评分细则?第?问中?得出曲线?的普通方程得?分?得出曲线?的极坐标方程得?分?正确写出直线?的极坐标方程得?分?第?问中?也可根据在直角坐标方程中?直线与圆联立求出坐标?答案正确得满分?答案错误?按步骤酌情给分?解?由题可得?所以?分解得?所以不等式?的解集为?分?证明?则?分则?当且仅当?时?等号成立?分评分细则?第?问中?也可分类讨论解不等式?分?和?两种情况?每种情况占?分?最终答案未写成解集形式?不扣分?第?问中?不管用哪种方法?计算出?的最小值得?分?证明?也可采用柯西不等式??高三数学?参考答案?第?页?共?页?理科?焦作市普通高中?学年高三年级第二次模拟考试数学参考答案?理科?解析?本题考查集合的运算?考查运算求解能力?则?解析?本题考查复数的运算?考查运算求解能力?由题意可得?则?槡?解析?本题考查指数和对数的运算?考查逻辑推理的核心素养?槡?所以?解析?本题考查圆锥?考查空间想象能力?设直角圆锥侧面展开图的圆心角的弧度数为?底面圆的半径为?母线长为?因为直角圆锥的轴截面为等腰直角三角形?所以?槡?则?解得?槡?解析?本题考查算法?考查逻辑推理的核心素养?由程序框图知?第一次运行?第二次运行?第三次运行?第四次运行?第五次运行?第六次运行?第七次运行?所以输出?解析?本题考查三角函数的图象与性质?考查直观想象和逻辑推理的核心素养?令?得?令?得?则?的单调递增区间为?单调递减区间为?所以?在?上单调递减?在?上单调递增?即?在?上先减后增?解析?本题考查等比数列和等差数列的定义?考查逻辑推理的核心素养?设等比数列?的公比为?若?是等比数列?则?为常数?即?为常数?所以?是等差数列?若?是等差数列?设?的公差为?则?为常数?所以?是等比数列?综上?是等比数列?是?是等差数列?的充要条件?解析?本题考查导数的应用?考查抽象概括能力?当?时?由?得?当?时?可得?则?所以?为常数?所以?选项?分别符合?故选?解析?本题考查三角恒等变换?考查运算求解能力?高三数学?参考答案?第?页?共?页?理科?由题可知?则?即?解析?本题考查球的应用?考查空间想象能力?设直三棱柱的高为?外接球的半径为?外接圆的半径为?则?槡?所以?又?令?则?易知?的最小值为?此时?所以该三棱柱外接球表面积的最小值为?解析?本题考查抽象函数?考查抽象概括能力?对于?是奇函数?是偶函数?不满足条件?对于?所以?槡?槡?故?满足条件?对于?取?和?可得?矛盾?不满足条件?对于?则?单调递增?且值域为?满足条件?故选?解析?本题考查双曲线的综合?考查数学运算和逻辑推理的核心素养?设?为?的中点?所以?则?因为直线?与?的右支交于?两点?所以?解得?槡?经验证?当离心率为槡?时?四点共线?即?的离心率的取值范围为?槡?槡?槡?又因为?所以?槡?槡?槡?槡?槡?解析?本题考查平面向量的数量积?考查运算求解能力?由?可得?平方可得?解得?槡?解析?本题考查解三角形?考查运算求解能力?由?槡?可得?槡?所以?槡?即?槡?由正弦定理得?槡?所以?槡?所以?槡?即?由余弦定理可得?所以?则?的面积为?槡?解析?本题考查排列组合?考查逻辑推理的核心素养?高三数学?参考答案?第?页?共?页?理科?将?个三好学生名额分到三个班级?有?种情况?第一种是只有一个班分到名额?有?种情况?第二种是恰有两个班分到名额?有?种情况?第三种是三个班都分到了名额?有?种情况?所以恰有一个班没有分到三好学生名额的概率为?解析?本题考查截面问题?考查空间想象能力?记正四棱锥?的体积为?由?为定值?可知只需求?的最小值?设过?的截面分别交?和?于?平面?与平面?的交线为?与?相交于?图略?则?令?则?所以?当且仅当?时?等号成立?此时?解?当?时?可得?分当?时?分上述两式作差可得?分因为?满足?所以?的通项公式为?分?为奇数?为偶数?所以?分?分所以数列?的前?项和为?分评分细则?第?问未求?直接得出?扣?分?第?问结果未写成假分数?扣?分?解?设事件?为同学甲晚上选择?类套餐?事件?为同学甲中午选择?类套餐?事件?为同学甲中午选择?类套餐?则?分?分所以?即同学甲晚上选择?类套餐?中午也选择?类套餐的?高三数学?参考答案?第?页?共?页?理科?概率为?分?晚上选择?类套餐的概率?晚上选择?类套餐的概率?分所以?名同学在晚上有?个人选择?类套餐?的所有可能取值为?分则?所以?的分布列为?分故?分评分细则?第?问只算出了同学甲中午和晚上选择?类套餐的概率?得?分?第?问中未正确列出分布列?扣?分?未正确写出数学期望?扣?分?证明?因为在?中?所以?分又?所以?平面?分因为?平面?所以?分?解?因为二面角?为?所以?分过?作?垂直于平面?以?为正交基底建立如图所示的空间直角坐标系?不妨设?则?槡?槡?槡?槡?槡?槡?分设?槡?槡?设平面?的法向量为?由?得?槡?槡?令?得?槡?即?槡?分令?则?槡?槡?槡?槡?槡?槡?解得?或?即?当?时?直线?与平面?所成角的正弦值为槡?分评分细则?高三数学?参考答案?第?页?共?页?理科?第?问共?分?证出?得?分?说明?并证出?平面?得?分?证出?得?分?其他方法按步骤酌情给分?解?由?垂直于?轴?可得?分将点?代入?可得?分又?分解得?槡?分所以椭圆?的方程为?分?证明?由?知?则椭圆?的右焦点坐标为?设直线?的方程为?的坐标为?分设?将直线?的方程与椭圆?的方程联立得?恒成立?由韦达定理知?分又?所以?分因为?所以?解得?即点?的横坐标为定值?分评分细则?第?问共?分?正确算出?的值?得?分?正确算出?和?的值?得?分?正确写出?的方程?得?分?第?问共?分?正确联立方程?得?分?写出韦达定理?得?分?正确算出?得?分?得出点?的横坐标为?得?分?其他方法按步骤酌情给分?解?由题可知?分则当?时?则?在?上单调递减?当?时?则?在?上单调递增?分所以当?时?取得极小值?无极大值?分?证明?记?则?高三数学?参考答案?第?页?共?页?理科?作差得?即?分要证明?只需证?即证?分令?则?所以?在?上单调递增?则?所以?成立?分评分细则?第?问中未说明无极大值不扣分?其他方法按步骤酌情给分?解?由曲线?的参数方程?槡?槡?为参数?得曲线?的普通方程为?即?分则曲线?的极坐标方程为?分直线?的极坐标方程为?分?将直线?的极坐标方程代入曲线?的极坐标方程?得?分又?所以?即?分所以直线?的直角坐标方程为?槡?分评分细则?第?问中?得出曲线?的普通方程得?分?得出曲线?的极坐标方程得?分?正确写出直线?的极坐标方程得?分?第?问中?也可根据在直角坐标方程中?直线与圆联立求出坐标?答案正确得满分?答案错误?按步骤酌情给分?解?由题可得?所以?分解得?所以不等式?的解集为?分?证明?则?分则?当且仅当?时?等号成立?分评分细则?第?问中?也可分类讨论解不等式?分?和?两种情况?每种情况占?分?最终答案未写成解集形式?不扣分?第?问中?不管用哪种方法?计算出?的最小值?得?分?证明?也可采用柯西不等式?焦作市普通高中焦作市普通高中20222023学年高三年级第二次模拟考试学年高三年级第二次模拟考试 英英 语语 考生注意：1本试卷共150分，考试时间120分钟。2请将各题答案填写在答题卡上。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。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 man need to do first?A.Fix the shelf.B.Paint the car.C.Look for his keys.2.Where does the conversation probably take place?A.At the bookstore.B.At the post office.C.At the hotel.3.What is the probable relationship between the speakers?A.Teacher and student.B.Schoolmates.C.Colleagues.4.How does the woman feel?A.Pleased.B.Apologetic.C.Annoyed.5.What are the speakers mainly talking about?A.A famous TV program.B.The preparation for a speech room.C.The introduction to the guest speaker.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.Where are the speakers?A.On a bus.B.In the hospital.C.In a supermarket.7.How long will it take the woman to get to the shopping center?A.About 35 minutes.B.About 20 minutes.C.About 15 minutes.听第7段材料，回答第8、9题。8.What do we know about the man?A.He is too busy to ski any more.B.He used to sell the ship tickets.C.He used to be a ski instructor.9.What does the woman want to do?A.Rent skis.B.Buy skis.C.Give up skiing.听第8段材料，回答第10至12题。10.What kind of weekend does the man want?A.A busy city break.B.A relaxing time at the beach.C.A peaceful weekend in the countryside.11.Which hotel does the man prefer to stay at?A.A hot spring hotel.B.A family hotel on a farm.C.A wooden hotel in the woods.12.Whats the name of the hotel the man will choose?A.Beach Hotel.B.Sunshine Spring.C.Farmhouse Gateways.听第9段材料，回答第13至16题。13.Why does Gloria look unhappy?A.She doesnt have a car.B.She couldnt get a ticket home.C.She has been studying too much.14.What do the numbers on the boxes represent?A.Types of cars.B.Districts of France.C.Amounts of money.15.What color card does Gloria need?A.White.B.Red.C.Blue.16.Where is the ride board?A.In the travel agents office.B.In the cinema of the college.C.In the Student Union building.听第10段材料，回答第17至20题。17.Who is the speaker?A.A local officer.B.A chief librarian.C.A history teacher.18.What does the library want to add later this year?A.Non-fiction materials.B.A collection of childrens books.C.A section on local tourist attractions.19.What is in the large room to the right of the library area?A.Computers.B.The art collection.C.The multimedia collection.20.What will the speaker do next?A.Answer some questions.B.Put up the pictures.C.Show his art collection.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A、B、C和D四个选项中，选出最佳选项。A The Rocks Guided Walking Tour Overview Search the history of Sydney on a leisurely 90-minute walking tour in The Rocks district with an expert guide.Enjoy the delights of present-day visuals as you explore The Rocksand as you discover shady courtyards and hidden areas that even the locals do not know about.What to Expect Meet your guide at the starting point in The Rocks district.From there,visit historic sites and hear stories about the city from a guide.The walking tour,which covers 1.2 miles at a leisurely pace,focuses on the neighborhood located under the Sydney Harbour Bridge.You can wander around the areas cobbled stone streets,alleyways and courtyards.The tour includes stops at Campbells Cove,the Garrison Church,which is known as the Church of Holy Trinity,etc.Plus,you can see the shoreline of Sydney Cove as well as views of Sydney Opera House.Important Information Confirmation will be received at the time of booking.Children must be accompanied by an adult.Small groups(no more than 20 people).It operates in all weather conditions,please dress to the predicted weather conditions appropriate for an outdoor activity.Comfortable walking shoes,hat and a bottle of water are suggested.The tour is wheelchair accessible.However,be prepared for uneven surfaces at the visited sites which may be difficult for those with walking disabilities.Departure Point:35 Harrington St,The Rocks NSW 2000,Australia.Duration:90 minutes.Return Detail:Return to original departure point.21.What can the visitors enjoy during the tour?A.Different villages.C.The mountain landscape.B.Remote courtyards.D.The view of the sea.22.What should the visitors prepare for the tour?A.Suitable clothing.C.Enough food.B.Many books.D.Some wheelchairs.23.Where does the tour start?A.In Sydney Opera House.C.At 35-Harrington St.B.At Campbells Cove.D.In the Garrison Church.B About 400 pounds of food is wasted per day from 5 pm to 8 pm in Douglass Dining Hall.“We scrape（刮掉）the food from the conveyor belt into the buckets by hand.Working for Dining Team Green,I dont expect to basically become a garbage girl,”Roll said.“We do the work because we care much about it.We all have a responsibility to take care of the environment.”To have more approachable composting（把制成堆肥）machines on campus，Roll now has a new sustainable project investing in Lomi,an automated compost machine.“I learned about Lomi through an ad,”Roll said.“Funny enough,I just saw it and thought it perfect.It really interested me how the mechanism worked.”Lomi is a new technology that can break down food waste into natural compost.According to Roll，it breaks down waste in the way：grinding（碾碎）the food into plant fertilizer.Unlike most composting machines,Omi can compost animal products,such as small bones.Another huge benefit is that it doesnt have smell and can convert waste to compost in a shorter time.Roll plans on using the compost in the Gilbert community garden so that Dining Team Green can give back to the community.“Its very exciting to see our food waste that would otherwise have gone in the trash and pollute the environment go to our community,”she said.Roll is excited to introduce a new form of composting to the residents.She hopes that this machine will inspire other composting machines in all residential buildings.“I want Lomi not only to be a way to reduce food waste on the floor,but an educational tool to make people compost in a real way and not just talk about it in a theoretical sense,”Roll said.24.Which of the following can best describe Lomi?A.Elegant.C.Low-powered.B.Widespread.D.Environmentally friendly.25.What does paragraph 3 mainly talk about?A.The reasons for designing Lomi.B.The impact of wasting food.C.The solution to food waste.D.The advantages of Lomi.26.What may be Rolls expectation?A.More people will get involved in composting initiatives.B.Dining Team Green will become an educational tool.C.More developed composting machines will be invented.D.Dining Team Green will build community gardens.27.What can we know about Roll?A.She lives in the Gilbert community.B.She is a member of Dining Team Green.C.She knows a lot about residential buildings.D.She plans to design more composting machines.C Definitions of adult learning vary,but it is usually defined as all forms of learning under-taken by adults after having left initial education and training,however far this process may have gone.Education and training are important factors for achieving the strategy objectives of rai-sing economic growth,competitiveness and social inclusion.However,with some exceptions,the process of implementing education and training remains weak.Most education and training systems are still largely focused on the education and training of young people and limited progress has been made in changing systems to mirror the need for learning throughout the lifespan.An additional 4 million adults would need to participate in lifelong learning.Recent re-search confirms the importance of investing in adult learning.The research on adults indicates that those who engage in learning are healthier,with a consequent reduction in healthcare costs.The big economic challenge in Europe is to raise its growth and employment performance while preserving social cohesion（凝聚力）.The rapid progress in other regions of the world shows the importance of creative,advanced and quality education and training as key factors of economic competitiveness.General levels of competence must increase,both to meet the needs of the labour market and to allow citizens to function well in todays society.Europe is facing big demographic（人口的）changes that will have a major impact on society and on the economy and consequently on education and training provision and needs.Over the next 30 years,the number of younger Europeans will fall by 15%.One in three Europeans will be over 60 years old,and about one in ten will be over 80.Given the challenges identified above,raising the overall level of skills of the adult population by offering more and better learning opportunities throughout adult life is important for both efficiency and equity reasons.Not only does lifelong learning help make adults more efficient workers and more active citizens,it also contributes to their personal well-being.28.Which can replace the underlined word“implementing”in paragraph 2?A.carrying out B.taking in C.knowing about D.looking over 29.What can we learn from the research?A.Adults have reduced healthcare costs.B.Learning is good for adults health.C.Few adults need to receive learning.D.More research will focus on learning.30.What problem does Europe face according to the text?A.Europeans are not healthy.B.Many old Europeans have died.C.The European population is aging.D.Young Europeans are out of work.31.What does the author want to express in the last paragraph?A.Lifelong learning is essential.B.Raising adult population is significant.C.We should help more efficient workers.D.Work contributes to personal well-being.D An inability to stand on one leg for 10 seconds in later life is linked to nearly double the risk of death