2019—2020学年河北邯郸第二学期期末学业水平质量检测
2019-2020学年邯郸县第三中学高三英语下学期期末考试试题及答案
2019-2020学年邯郸县第三中学高三英语下学期期末考试试题及答案第一部分阅读（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、D四个选项中选出最佳选项AIn his 402nd anniversary year, Shakespeare is still rightly celebrated as a great language master and writer. But he was not the only great master of play writing to die in 1616, and he is certainly not the only writer to have left a lasting influence on theater.While less known worldwide, Tang Xianzu is considered one of Chinas greatest playwrights and is highly spoken of in that country of ancient literary and dramatic traditions.Tang was born in 1550 inLinchuan,Jiangxiprovince. Unlike Shakespeare's large body of plays,poems and sonnets (十四行诗), Tang wrote only four major plays: The Purple Hairpin, Peony Pavilion (《牡丹亭》), A Dream under the Southern bough, and Dream of Handan. The latter three were constructed around a dream narrative, a way through which Tang unlocked the emotional dimension of human desires and ambitions and explored human nature beyond the social and political limits of that time.Similar to Shakespeare, Tang's success rode the wave of a renaissance (复兴) in theater as an artistic practice. As in Shakespeare'sEngland, Tang's works became hugely popular inChinatoo. During Tang'sChina, his plays were enjoyed performed, and changed. Kunqu Opera, a form of musical drama, spread from southernChinato the whole nation and became a symbol of Chinese culture. Combining northern tune and southern music, kunqu Opera was known for its poetic language, music, dance movements and gestures. Tang's works benefited greatly from the popularity of kunqu Opera, and his plays are considered classics of kunqu Opera.While Tang and Shakespeare lived in a world away from each other, there are many things they share in common, such e humanity of their drama, their heroic figures, their love for poetic language, a lasting popularity and the anniversary during which we still celebrate them.1. Why is Shakespeare mentioned in the first paragraph?A. To describe Shakespeare's anniversary.B. To introduce the existence of Tang Xianzu.C. To explain the importance of Shakespeare.D. To suggest the less popularity of Tang Xianzu.2. What's possibly one of the main theme of Tang's works?A. Social reality.B. Female dreams.C. Human emotions.D. Political environment.3. What does the author mainly tell us in Paragraph 4?A. The influence of Kunqu Opera on Tang's works.B. Tang's success in copying Shakespeare's styles.C. The way Kunqu Opera became a symbol of Chinese culture.D. Tang's popularity for his poetic language and music.BThey are smart. They know how to steal. They know how to find food. They know how to intimidate(恐吓) . Who are they? They are macaque monkeys. They have taken over the old city ofLopburiinThailand. About 8,400 of them are in the center of the city. They roam(漫游) neighborhoods in groups. Dozens of businesses in Lopburi are closing. They include a music school, a gold shop, a barber, a cellphone store and a movie theatre. The Buddhist culture believes reducing the number of monkeys would disturb spiritual well-being.The monkeys were not always such a hazard. They attracted tourists. Buddhists thought feeding them was a good deed. Now times have changed. Recently, the coronavirus made things worse. There are fewer tourists, which means that travelers give less food to the monkeys. Over the years, the monkeys moved into empty buildings. They trashed whatever they came across. They ripped(扯掉) antennas and windshield wipers off parked cars. What happens when monkeys come into contact with humans? An observer said that years ago the monkeys were fewer, biggerand healthier. Their fur was shiny and thick. They kept to the temples，as well as the ruins of the ancient Khmer civilization.Then tourists came with easy and unhealthy food. Along with bananas and citrus(柑橘), the macaques feasted on junk food. An observer said, “The monkeys are never hungry. They are just like children who eat too much KFC. ” Compared with the monkeys of the forest, their urban counterparts have less muscle. They have more hypertension and blood disease. Their fur has thinned. Some have gone bald. With so much food available，they have more time to breed and to give birth. Their population has exploded. “These monkeys were here before us,” a man said. A juvenile macaque tugged(拽) his trousers demanding a treat. “We have to adapt to them，not the other way around. ”4. Why are macaque monkeys so popular in Lopburi inThailand?A. Because they are smart and know how to steal.B. Because they have taken over the old city ofLopburiinThailand.C. Because they are symbols of spiritual well-being in the Buddhist culture.D. Because 8,400 of them are in the centre of the city and roam everywhere.5. In what way has tourism influenced the macaque monkeys?A. The monkeys are bigger and healthier.B. The monkeys like eating KFC food.C. The monkeys have suffered from more diseases.D. The monkeys are subject to birth control.6. What does the underlined word “counterparts” in the last paragraph refer to?A. Monkeys.B. Tourists.C. Buddhists.D. Children.7. It can be inferred from what the man said that ________.A. monkeys are ancestors, so humans should adapt to monkeysB. humans should regard monkeys with awe and respectC. monkeys should be forced to follow rulesD. humans should give monkeys whatever they wantCThe idea of low material desire, low consumption and refusing to work, marry and have children, concluded as a “lying down” lifestyle, recentlystruck a chord withmany young Chinese who are eager to take pause to breathe in this fast-paced and highly-competitive society.Many millennials (千禧一代) and generation Zs complained to the Global Times that burdens, including work stress, family disputes (纷争) and financial strains, have pushed them “against the wall”. They said they hate the “involution (内卷),” joking that they would rather give up some of what they have than get trapped in an endless competition against peers.“Instead of always following the ‘virtues’ of struggle, endure and sacrifice to bear the stresses, they prefer a temporary lying down as catharsis (宣泄) and adjustment,” said a scholar. “It is no wonder that some young people, under the growing pressures from child-raising to paying the mortgage (按揭) today, would try to live in a simple way and leave the worries behind.”Interestingly, the majority of millennials and Gen Zs reached by the Global Times, who claim to be big fans of the lying down philosophy, acknowledged that they only accept a temporary lying down as a short rest. It is true that with the great improvement of living conditions, some Chinese youth have partially lost the spirit of hardshipand are not willing to bear too much hard work. But in fact, lying down is not entirely comfortable. Young people who lie down always feel guilty about their constant loss of morale (士气) far beyond their reach.“Young people on campus have both aspirations and confusion about their future, but most of us have rejected setting ourselves up in chains to waste opportunities and challenges,” a postgraduate student told the Global Times. “It’s no use running away. I have to ‘stand up’ and face the reality sooner or later.”8. What does the underlined phrase in paragraph 1 mean?A. Warned.B. Criticized.C. Touched.D. Amused.9. What might have caused the “lying down” lifestyle among the young?A. Improvements in living conditions.B. Growing pressure from family and social life.C. Increasing material possessions from families.D. Temporary adjustment to failure in competitions.10. What’s the scholar’s attitude toward the “lying down” group?A. Understanding.B. Intolerant.C.Supportive.D. Unclear.11. What can be inferred about the young generation from the text?A. They never really drop their responsibilities.B. They really enjoy the “lying down” lifestyle.C. They find their dreams far beyond their reach.D. They would rather escape than take challenges.DA male tiger was rescued in Mishan city, Northeast China's Heilongjiang province, on Friday. A tiger was recently seen on the Siner Russian border（边界），but there is no evidence to suggest this is the same tiger or that it had lost its way from Russia.Wherever it may have come from, cross-border protection of endangered species is a problem. According to Ma Jianzhang, a senior wild animal researcher in China, tigers know no borders, which have been built to stop humans from illegally crossing over. However, these borders also stop the free movement of tigers, thus preventing their breeding（繁殖）and exchange of genes.The Sino-Russian border alsocomes in the way ofprotecting tigers in the region. Data show about 500 to 550Siberian tigers, or over 90 percent of the species, live in the wild in Russia; 27 live in the wild in China, and 50 inthe border region. Sometimes tigers lose their way across the border and that is hindering（妨碍）efforts to stop illegal hunting and protecting them.Fortunately, both China and Russia have realized this problem and are working toward solving it. As early as 2010, the two countries established a cross-border protection network aimed at strengthening communication on protecting tigers in the northeast. The countries have also held anti-poaching（反偷猎）activities together. In 2019, two national parks from the two countries signed a three-year deal to share research data on tigers, greatly improving the living conditions of Siberian tigers in the wild.However, much more needs to be done to protect the species. It is necessary to combine the tiger protection areas in the two countries. That will require greater efforts from both sides and some difficulties might remain even then. Fortunately, both countries have been taking effective measures to provide the endangered species a better home.12. What's the original purpose of setting up the Sino-Russian borders?A. To ban people from illegal crossings.B. To help protect tigers in the region.C. To protect tigers from losing their way.D. To stop tigers' breeding and exchange of genes.13. What does the underlined phrase “comes in the way of” probably mean?A. keeps from.B. is on the way toC. is aimed atD. keeps up14. What is the focus of Paragraph 4 ?A. Recent studies and researches on tigers.B. Joint efforts by China and Russia to protect tigers.C. The possible effects of establishing a networkD. Reasons for improving the living conditions of tigers.15. What's the author's purpose in writing the text?A. To inform the possible dangers of tiger protection.B. To cover the news about a missing tiger on the border.C. To put forward suggestions on finding the missing tiger.D. To report the problems and measures of cross-border tiger protection.第二节（共5小题；每小题2分，满分10分）阅读下面短文，从短文后的选项中选出可以填入空白处的最佳选项。
2019-2020学年河北省邯郸市丛台区育华中学八年级下学期期末数学试卷(含答案解析)
2019-2020学年河北省邯郸市丛台区育华中学八年级下学期期末数学试卷一、选择题（本大题共16小题，共42.0分）1.若菱形的面积为定值，则它的一条对角线的长与另一条对角线的长满足的函数关系是()A. 正比例函数关系B. 反比例函数关系C. 一次函数关系D. 二次函数关系2.《九章算术》是中国古代的数学代表作，书中记载：今有开门去阃(读kun，门槛的意思)一尺，不合二寸，问门广几何？题目大意是：如图1、2(图2为图1的平面示意图)，从点O处推开双门，双门间隙CD的长度为2寸，点C和点D到门槛AB的距离都为1尺(1尺=10寸)，则AB 的长是()A. 104寸B. 101寸C. 52寸D. 50.5寸3.下列运算正确的是()A. √2+2√3=3√5B. √8=4√2C. √(−3)2=−3D. √27÷√3=34.若样本x1，x2，x3，…，x n的平均数为10，方差为4，则对于样本x1−3，x2−3，x3−3，…，x n−3，下列结论正确的是()A. 平均数为10，方差为2B. 众数不变，方差为4C. 平均数为7，方差为2D. 中位数变小，方差不变5.一个正比例函数的图象经过A(3,−6)，B(−m,4)两点，则m的值为()A. 2B. 8C. −2D. −86.在坐标系xOy中，已知点A(3,1)关于x轴、y轴的对称点分别为P、Q.若坐标轴上的点M恰使△MAP、△MAQ均为等腰三角形，则满足条件的点有()A. 4个B. 5个C. 8个D. 9个7.小明收集了某快餐店今年5月1日至5月5日每天的用水量(单位：吨)，整理并绘制成如图折线统计图，下列结论正确的是()A. 平均数是7B. 众数是7C. 中位数是5D. 方差是78.若√12+√y=√27，则y的值为()A. 8B. 15C. 3D. 29.如图，已知在正方形ABCD中，点O为对角线AC的中点，过O点的射线OM、ON分别交AB、BC于点E、F，且∠EOF=90°，BO、EF交于点P，则下面结论中：①图形中全等的三角形只有三对；②△EOF是等腰直角三角形；③正方形ABCD的面积等于四边形OEBF面积的4倍；④BE+BF=√2OA；⑤AE2+BE2=2OP⋅OB．正确结论的个数是()A. 4个B. 3个C. 2个D. 1个10.如图，O为▱ABCD的对角线交点，E为AB的中点，DE交AC于点F，若S□ABCD=12，则S△DOE的值为()A. 1B. 1.5C. 2D.2.2511.A、B两地相距20千米，甲、乙两人都从A地去B地，图中射线l1和l2分别表示甲、乙两人所走路程s(千米)与时间t(小时)之间的关系．下列说法：①乙晚出发1小时；②乙出发3小时后追上甲；③甲的速度是4千米/小时，乙的速度是6千米/小时；④乙先到达B地．其中正确的个数是()A. 1个B. 2个C. 3个D. 4个12.如图，四边形ABCD的顶点坐标分别为A(−4,0)，B(−2,−1)，C(3,0)，D(0,3)，当过点B的直线l将四边形ABCD分成面积相等的两部分时，直线l所表示的函数表达式为()A. y=1110x+65B. y=23x+13C. y=x+1D. y=54x+3213.将一根长24cm的筷子，置于底面直径为5cm、高为12cm的圆柱形水杯中，设筷子露在杯子外面的长为hcm，则h的取值范围是()A. 5≤ℎ≤12B. 5≤ℎ≤24C. 11≤ℎ≤12D. 12≤ℎ≤2414.直线y=mx+1与抛物线y=2x2−8x+k+8相交于点(3,4)，则m、k值为()A. {m=1k=3B. {m=−1k=2C. {m=1k=2D. {m=2k=115.甲、乙两人在直线跑道上同起点、同终点、同方向匀速跑步500米，先到终点的人原地休息．已知甲先出发2秒．在跑步过程中，甲、乙两人的距离y(米)与乙出发的时间t(秒)之间的关系如图所示，给出以下结论：①a=8；②b=92；③c=123；④乙的速度比甲的速度快1米/秒，其中正确的编号是()A. ①②B. ②③C. ①②③D. ①②③④16.如图，在三角形纸片ABC中，∠A=90°，AB=12，AC=5折叠三角形纸片，使点A在BC边上的点E处，则AD是()A. 3B. 4C. 103D. 113二、填空题（本大题共4小题，共13.0分）17.在二次根式√x−7中x的取值范围是______．18.要建一个面积为8000m2的长方形操场，把它画在比例尺为1的图纸上，则图纸上的长方形的1000面积为______ cm2．19.已知线段AB=10cm，直线AB上有一点C，且BC=2cm，M是线段AC的中点，则AM=______ ．20.若一次函数y=kx+b的图象经过(1,3)和(−1,1)，则k+b=______．三、计算题（本大题共1小题，共6.0分）21.计算：(√3−√2)2−√3(√2−√3)．四、解答题（本大题共4小题，共39.0分）22.为了传承优秀传统文化，某校团委组织了一次全校3000名学生参加的“汉字听写”大赛，赛后发现所有参赛学生的成绩均不低于50分，为了更好地了解本次大赛的成绩分布情况，随机抽取了其中200名学生的成绩(成绩x取整数，总分100分)作为样本进行整理，得到下列不完整的统计图表成绩x/分频数频率50≤x<60100.0560≤x<70200.1070≤x<8030b80≤x<90a0.3090≤x≤100800.40请根据所给信息，解答下列问题：(1)b=______，这次比赛成绩的中位数会落在______分数段．(2)请补全频数分布直方图．(3)若成绩在90分以上(包括90分)的为“优等”，则该校参加这次比赛的3000名学生中成绩“优等”的约有多少人？23. 初中数学代数知识中，方程、函数、不等式存在着紧密的联系，请阅读下列两则材料，回答问题：材料一：利用函数图象找方程x 3−x +1=0解的范围．设函数y =x 3−x +1，当x =2时，y =−5<0；当x =−1时，y =1>0则函数y =x 3−x +1的图象经过两个点(−2,−5)与(−1,1)，而点(−2,−5)在x 轴下方，点(−1,1)在x 轴上方，则该函数图象与x 轴交点横坐标必大于−2，小于−1.故，方程x 3−x +1=0有解，且该解的范围为−2<x <−1．材料二：解一元二次不等式(x −1)(x +2)<0.由“异号两数相乘，结果为负”可得：情况①，{x −1<0x +2>0得{x <1x >−2，则−2<x <−1． 情况②{x −1>0x +2<0，得{x >1x <−2，则无解． 故，(x −1)(x +2)<0的解集为−2<x <−1．(1)请根据材料一解决问题：已知方程−x 3+2x −5=0有唯一解x 0，且a <x 0<a +1(a 为整数)，求整数a 的值．(2)请结合材料一与材料二解决问题：若关于x 的方程mx 2−(m +1)x −4=0的解分别为x 1、x 2，且−1<x 1<0，2<x 2<3，求m 的取值范围．24. 如图，△ABC 与△DCE 中，CA =CD ，∠1=∠2，BC =EC.求证：∠A =∠D ．25.【问题提出】在2020抗击新冠肺炎的斗争中，某中学响应政府“停课不停学”的号召进行线上学习，九年级一班的全体同学在自主完成学习任务的同时，全班每两个同学都通过一次视频电话，彼此关怀，互相勉励，共同提高，若每两名同学之间仅通过一次视频电话，如何求全班56名同学共通过多少次电话呢？【模型构建】用点M1、M2、M3、…、M56分别表示第1、2、3、…、56名同学，把该班级人数n与视频通话次数S之间的关系用如图模型表示：【问题解决】(1)填写如图中第5个图中S的值为______ ．(2)通过探索发现，通电话次数S与该班级人数n之间的关系式为______ ，则当n=56时，对应的S=______ ．(3)若该班全体女生相互之间共通话253次，求该班共有多少名女生？(4)若该班数学兴趣小组的同学们，每两位同学之间互发一条微信问候，小明统计全组共发送微信182条，则该班数学兴趣小组的人数是______ ．【答案与解析】1.答案：B解析：解：设菱形的面积为S，两条对角线的长分别为x、y，则有，1xy=S，2∴y=2S，x而菱形的面积为定值，即2S为定值，是常数不变，所以y是x的反比例函数，故选：B．构造菱形的对角线与面积之间的函数关系式，根据关系式进行判断即可．本题考查反比例函数关系，理解反比例函数的意义是正确判断的前提．2.答案：B解析：解：取AB的中点O，过D作DE⊥AB于E，如图2所示：由题意得：OA=OB=AD=BC，设OA=OB=AD=BC=r寸，CD=1寸，则AB=2r(寸)，DE=10寸，OE=12∴AE=(r−1)寸，在Rt△ADE中，AE2+DE2=AD2，即(r−1)2+102=r2，解得：r=50.5，∴2r=101(寸)，∴AB=101寸，故选：B．取AB的中点O，过D作DE⊥AB于E，根据勾股定理解答即可得到结论．本题考查了勾股定理的应用，弄懂题意，构建直角三角形是解题的关键．3.答案：D解析：试题分析：根据二次根式的加减法对A进行判断；根据二次根式的乘法法则对B进行判断；根据二次根式的性质对C进行判断；根据二次根式的除法对D进行判断．A、√2与2√3不能合并，所以A选项错误；B、原式=2√2，所以B选项错误；C、原式=|−3|=3，所以C选项错误；D、原式=√27÷3=3，所以D选项正确．故选D．4.答案：D解析：解：∵样本x1，x2，x3，…，x n的平均数为10，方差为4，∴样本x1−3，x2−3，x3−3，…，x n−3的平均数为7，方差为4，众数和中位数变小．故选：D．利用平均数、中位数、众数和方差的意义进行判断．本题考查了方差：一组数据中各数据与它们的平均数的差的平方的平均数，叫做这组数据的方差．方差是反映一组数据的波动大小的一个量．方差越大，则平均值的离散程度越大，稳定性也越小；反之，则它与其平均值的离散程度越小，稳定性越好．也考查了平均数、众数和中位数．5.答案：A解析：解：设正比例函数解析式为：y=kx，将点A(3,−6)代入可得：3k=−6，解得：k=−2，∴正比例函数解析式为：y=−2x，将B(−m,4)代入y=−2x，可得：2m=4，解得m=2，故选：A．运用待定系数法求得正比例函数解析式，把点B的坐标代入所得的函数解析式，即可求出m的值．本题考查了一次函数图象上点的坐标特征．解题时需灵活运用待定系数法求出函数解析式，然后将点的坐标代入解析式，利用方程思想解决问题是解本题的关键．6.答案：B解析：解：如图，AQ=AM1，AQ=AM5，AQ=AM2，QA=QM4，AM3=QM3，故坐标轴上的点M恰使△MAP、△MAQ均为等腰三角形，则满足条件的点有5个，故选：B．根据等腰三角形的性质即可得到结论．此题主要考查等腰三角形的性质和坐标与图形的性质，解答此题的关键是利用勾股定理求出OP的长，此题难度不大．7.答案：A解析：解：由折线图知：1日用水5吨，二日用水7吨，三日用水11吨，四日用水3吨，5日用水9吨，=7，数据5、7、11、3、9的平均数是5+7+11+3+95中位数是7，由于各数据都出现了一次，故其众数为5、7、11、3、9．[(5−7)2+(7−7)2+(11−7)2+(3−72)+(9−7)2]方差是S2=15=8．综上只有选项A正确．故选：A．由折线图得到相关五天的用水数据，计算这组数据的平均数、中位数、众数、方差，然后判断得结论．本题考查了折线图、平均数、中位数、众数及方差等知识，读折线图得到用水量数据是解决本题的关键．8.答案：C解析：解：因为√12+√y=√27，所以√y=√27−√12=3√3−2√3=√3，所以y=3．故选：C．根据二次根式的加减法计算即可．本题考查了二次根式的加减法，解题的关键是熟练掌握二次根式的加减法法则．9.答案：A解析：解：①不正确；图形中全等的三角形有四对：△ABC≌△ADC，△AOB≌△COB，△AOE≌△BOF，△BOE≌△COF；理由如下：∵四边形ABCD 是正方形，∴AB =BC =CD =DA ，∠BAD =∠ABC =∠BCD =∠D =90°，∠BAO =∠BCO =45°，在△ABC 和△ADC 中，{AB =ADamp; BC =DCamp; AC =ACamp; ， ∴△ABC≌△ADC(SSS)；∵点O 为对角线AC 的中点，∴OA =OC ，在△AOB 和△COB 中，{OA =OCamp; AB =CBamp; OB =OBamp; ， ∴△AOB≌△COB(SSS)；∵AB =CB ，OA =OC ，∠ABC =90°，∴∠AOB =90°，∠OBC =45°，又∵∠EOF =90°，∴∠AOE =∠BOF ，在△AOE 和△BOF 中，{∠OAE =∠OBF =45°amp; OA =OBamp; ∠AOE =∠BOF amp; ， ∴△AOE≌△BOF(ASA)；同理：△BOE≌△COF ；②正确；理由如下：∵△AOE≌△BOF ，∴OE =OF ，∴△EOF 是等腰直角三角形；③正确．理由如下：∵△AOE≌△BOF ，∴四边形OEBF 的面积=△ABO 的面积=14正方形ABCD 的面积； ④正确．理由如下：∵△BOE≌△COF ，∴BE =CF ，∴BE +BF =CF +BF =BC =AB =√2OA ；。
【精准解析】河北省邯郸市永年一中2019-2020学年高一下学期期末考试英语试题
- 1 - 永年一中2019-2020学年高一下学期期末考试 英语 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. ￡9.15. C. ￡9.18. 答案是B。 1. When was the woman born? A. In 1984. B. In 1982. C. In 1980. 2. What are the speakers probably doing? A. Looking for John’s new apartment. B. Visiting John’s old house. C. Helping John move house. 3. Why does the woman refuse to go to the beach? A. It’s hot there. B. She can’t swim. C. She isn’t free. 4. What are the speakers talking about? A. A news report. B. A driving test. C. A car accident. 5. What does the man mean? A. He doesn’t have a computer. B. He doesn’t know how much a new computer costs. C. He thinks the price of the new computer is reasonable. 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 - 1 -
河北省邯郸市永年区第一中学2019-2020学年高一下学期期末数学试题(wd无答案)
河北省邯郸市永年区第一中学2019-2020学年高一下学期期末数学试题一、单选题(★★) 1. 的值是（）A．B．C．D．(★) 2. 已知，，，为实数，且，则下列不等式一定成立的是（）．A．B．C．D．(★) 3. 不等式的解集是( )A．B．C．或D．(★) 4. 设等差数列的前 n项和，若，则( )A．13B．14C．26D．52(★★) 5. 在中，若，则的形状是( )A．钝角三角形B．直角三角形C．锐角三角形D．不能确定(★) 6. 已知直线的方程为，直线的方程为，则直线和的距离为( )A．B．C．D．(★) 7. 设某直线的斜率为 k，且，则该直线的倾斜角的取值范围是( )A．B．C．D．(★★★) 8. 对于直线，和平面，，能得出的一个条件是（）A．，，B．，，C．，，D．，，(★)9. 已知过点和点的直线为，，．若，，则的值为（）A．B．C．0D．8(★★★) 10. 某几何体的三视图如图所示，则该几何体的体积是（）A．B．C．2D．4(★★) 11. 《九章算术》中，称底面为矩形而有一侧棱垂直于底面的四棱锥为阳马.设是正六棱柱的一条侧棱，如图，若阳马以该正六棱柱的顶点为顶点，以为底面矩形的一边，则这样的阳马的个数是( )A．8B．12C．16D．18(★★★) 12. 如图，四棱锥中，底面是边长为的正方形 ABCD， AC与 BD的交点为 O，平面 ABCD且， E是边 BC的中点，动点 P在四棱锥表面上运动，并且总保持，则动点 P的轨迹的周长为( )A．B．C．D．二、填空题(★) 13. 直线的斜率为________.(★★) 14. 已知的解集为，则__．(★) 15. 若，，，一定有，成立，请将猜想结果填空: ________.(★) 16. 已知中，点，，.则的面积为________.三、解答题(★★★) 17. 已知.（1）计算的值；（2）计算的值.(★★) 18. 等比数列中，，．（1）求的通项公式；（2）记为的前项和，若，求．(★★★) 19. 如图所示，是正方形，是正方形的中心，底面，底面边长为，是的中点.（1）求证：平面；（2）若，求二面角的大小.(★★★) 20. 设的内角 A， B， C所对的边长分别为 a， b， c，且，.(1)当时，求 a的值；(2)当的面积为3时，求的值.(★★) 21. 已知，，.（1）求的最大值；（2）求的最小值.(★★★) 22. 如图，在四棱锥中，平面平面 ABCD，且，.四边形 ABCD满足，，. E为侧棱 PB的中点， F为侧棱 PC上的任意一点.(1)若 F为 PC的中点，求证: 平面 PAD；(2)求证:平面平面 PAB；(3)是否存在点 F，使得直线 AF与平面 PCD垂直?若存在，写出证明过程并求出线段 PF的长；若不存在，请说明理由.。
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河北邯郸2019—2020学年第二学期期末学业水平质量检测
姓名 班级 成绩
一、我wǒ会huì拼pīn还hái会huì写xiě。（17分）
xuě huā huǒ bàn yīn wèi kuài lè shēn tǐ
cǎo zhuō
1.小蜻蜓在 地上飞来飞去 虫子。
jiě jie tiáo
2. 画了一 小鱼。
yǔ wén
3.今天的 课特别有趣！
二、字zì词cí百bǎi花huā园yuán。（28分）
1.用“√”给下列加点的字选择正确的读音。（6分）
①春天来了，小白兔把种
．（zhǒng zhòng）子种．
（zhǒng zhòng）到地里。
②今天空．（kōng kòng）气很好，你有空．（kōng kòng）就出去透透气吧！
③明明今天很快乐．（yuè lè），因为他去听了一场美妙的音乐．（yuè lè）会。
2.按笔顺规则写下面的字。（6分）
因 书 主 义 国 我
先写点：
后写点：
题号 一 二 三 四 五 六 七 卷面 总分