湖北省枣阳市2017届高三上学期周考试题（4科5份）.zip

1湖北省枣阳市 2017 届高三数学上学期周考试题 文一．选择题（本大题共 12 小题，每小题 5 分，共 60 分）1．已知 是 的 边上的中点，若 ， ，则 等于（ ）MABCABaCbAMA． B．)(2ba)(21baC． D．2．已知 满足约束条件 ，则 的最大值是（ ）,xy041xy2zxyA．-1B．-2C．-5D．13．下面各组函数中是同一函数的是（ ）A． 32yx与 2yxB． ()与 |C． 1yxA与 (1)yxD． 2()f与 2gtt4．一个三棱锥的三视图如图所示，则该三棱锥的表面积为（ ）A． B． 25146214C． D．8825．如图是计算 的值的一个程序框图，其中判断框内应填入的条件是（ 112460）A. B. 5i5iC. D.10106．命题 ：“ ，使 ”，这个命题的否定是（ ）x02()xaA． ，使 ()B． ，使0x1xC． ，使 2()aD． ，使xx7．已知向量 ， 的夹角为 ，且 ， ，则 b3(,4)a|2b||abA． 23B．2C． 1D． 848．观察数列 1,2,2,3,3,3,4,4,4,4，的特点，按此规律 ，则第 100 项为A．10B．14C．13D．1009． 一个样本容量为 10 的样本数据，它们 组成一个公差不为 O 的等差数列{ }，若 a3 =8，且 a1，a 3，a 7成等比数列，则此样本的平均数和中位数分别是（ ）A．13，12 B．13，13 C．12，13 D．13，14310．复数 满足 ，则复数 的共轭复数在复平面内的对应点位于（ ）z1iizA．第一象限 B．第二象限 C．第三象限 D．第四象限 11．已知 ， ，那么“ ”是“ ”的（ ）0ab2ab1abA．充分不必要条件 B．必要不充分条件 C．充要条件 D．不充分不必要条件12．在演讲 比赛决赛中，七位评委给甲、乙两位选手打分的茎叶图如图所示 ，但其中在处数据丢失.按照规则，甲、乙各去掉一个最高分和一个最低分，用 和 分别表示甲、 xy乙两位选手获得的平均分，则（ ）A. xyB. C. xyD. 和 之间的大小关系无法确定评卷人 得分二、填空题13．已知在三棱柱 中，各棱长相等，侧棱垂直于底面，且点 是侧面1ABC D的中心，则 与平面 所成角的大小是 ．1BD114．判断任意输入的数 x 是否是正数，若是，输出它的平方值；若不是，输出它的相反数．则填入的条件应该是___．15．在 中, ，那么 __________.ABC04345,2,cbA16．焦点坐标为 的抛物线的标准方程为 ．(,)4评卷人 得分三、解答题17． （本题 12 分）已知一元二次函数 2()(0)fxac的图像与 y轴交于点(0,1)，且满足 ．)0(4ff（I）求该二次函数的解析式及函数的零点．（II）已知函数在 (1,)t上为增函数，求实数 t的取值范围．18． （本题 12 分）已知函数 ln1xfe（ 是自然对数的底数） ， 1lnhxx．（Ⅰ）求曲线 yfx在点 ， 处的切线方程；（Ⅱ）求 h的最大值；（Ⅲ）设 'gxf，其中 'fx为 f的导函数，证明：对任意 0x，21e．19． （本题 12 分）在 中，已知 ，向量 ， ，且ABCV6sin,1mA,cosB.mn（1）求 A 的值；（2）若点 D 在边 BC 上，且 ，AD＝ ，求△ABC 的面积．3Bur1320． （本题 12 分）某蛋糕店每天制作生日蛋糕若干个，每个生日蛋糕的成本为 50元，然后以每个 100 元的价格出售，如果当天卖不完，剩下的蛋糕作垃圾处理．现需决策此蛋糕店每天应该 制作几个生日蛋糕，为此搜集并整理了 100 天生日蛋糕的日需求量（单位：个） ，得到如图所示的柱状图，以 100 天记录的各需求量的频率作为每天各需求量发生的概率．（1）若蛋糕店一天制作 17 个生日蛋糕，5①求当天的利润 y（单位：元）关于当天需求量 n（单位：个， nN）的函数解析式；②在当天的利润不低于 750 元的条件下，求当天需求量不低于 18 个的概率．（2）若蛋糕店计划一天制作 16 个或 17 个生日蛋糕，请你以蛋糕店一天利润的期望值为决定依据，判断应该制作 16 个是 17 个？21． （本题 12 分）已知函数 满足 ，且对于任意的2()(lg)lfxaxb(1)2f，恒有 成 立．xR()2fx（1）求实数 ， 的值；ab（2）解不等式 ．()5f22． （本题 12 分）时下，租车已经成为新一代的流行词，租车自驾游也慢慢流行起来，某小车租车点的收费标准是，不超过 2 天按照 300 元计算；超过两天的部分每天收费标准为100 元（不足 1 天的部分按 1 天计算） ．有甲乙两人相互独立来该租车点租车自驾游（各租一车一次） ，设甲、乙不超过 2 天还车的概率分别为 ；2 天以上且不超过 3 天还车的概1,3率分别 ；两人租车时间都不会超过 4 天．,23（1）求甲所付租车费用大于乙所付租车 费用的概率；（2）设甲、乙两人所付的租车费用之和为随机变量 ，求 的分布列与数学期望 ．E6答案选择：1_5BADDA 6_10 BCBBD 11_12 BB填空：13． 6014． x15． 或15716． 28y17． （I） 2()1fxx零点为： 2,2 （II） 1t18． （Ⅰ） 1ye；（Ⅱ） 2e；（Ⅲ）证明见解析．试题解析：（Ⅰ）由 lnxf，得 1fe，1ln'xfe，所以 '10kf，所以曲线 yf在点  ,f处的切线方程为 1ye．（Ⅱ） 1lnhxx， 0 ,，所以 'ln2hx．令 '0得， 2e，因此当 2 ,e时， '0， hx单调递增；当 2 ,xe时， '0hx， x单 调递减．所以 h在 2处取得极大值，也是最大值． hx的最大值为 221he．（Ⅲ）证明：因为 'gxf，所以 1lnxge， 0， gx等价于21ln1xxe．由（Ⅱ）知 h的最大值为 221he，故 2ln1xe，只需证明 0x时， 1xe成立，这显然成立．所以 221lnx， 因此对任意 0， 2g．19． （1） （2） 693420． （1）① 085167nynN；② 1935；（2）一天应该制作 个生日蛋糕．721． （1） ；（2） .10,ba|41x22． （1） ；（2）分布列见解析， ．78750E1湖北省枣阳市 2017 届高三数学上学期周考试题 理一．选择题（本大题共 12 小题，每小题 5 分，共 60 分）1．已知全集 U=R,集合 （ ）=（ ）24{|},{|710},xAxyBxA则 UCBA． （2，3） B． （2，4） C． （3，4 D． （2，4]]2．集合 ，集合 ，则 等于（ ）{|log1)0}Mx（ }1|{xNNMA． B． C． D．)1,[,[]1,[),0(3．已知复数 满足 （ 为虚数单位） ，则 在复平面内对应的点位于（ ）z32izizA．第一象限 B．第二象限 C．第三象限 D．第四象限4．设向量 = ， = ，则“ ”是“ // ”的（ ）a21x,b14x,3xabA．充分而不必要条件 B．必要而不充分条件C．充分必要条件 D．既不充分也不必要条件5．已知 等比数列 中， ， ，则na32461a（ ）9157aA．2 B．4 C．8 D．166．设变 量 满足 ，则 的最大yx,1502yxyx3值是（ ）A． B． C． D．203457．某几何体的三视图如图所示（单位：cm） ，则该几何体的体积是（ ）A. B. C. D.32cm32cm32c32cm8．与椭圆214xy共焦点且过点 ,1P的双曲线方程是（ ）2A．214xyB．21xyC．23D． 239．已知 满足 ， ，则()sin)(0,|)fx())fx1(02f在区间 上的最小值为（ ）2cog[]2A． B．-2 C．-1 D．1310．用反证法证明命题“设 为实数，则方程 至少有一个实根”3()||()fxaR()0fx时， 要做的假设是（ ）A．方程 没有实根 B．方程 至多有一个实根()fx()0fxC．方程 至多有两个实根 D．方程 恰好有两个实根0()f11．已知 ，若对任意两个不等的正实数 ，都有21()ln(0)fxax12,x恒成立，则实数 的取值范围是（ ）12faA． B． (0,](1,)C． D．1)[12．函数 （ ）A.6 B.2 C.5 D.2二．填空题：（本大题共 4 小题，每小题 5 分 ，共 20 分）13．函数 的定义域是 .23()lg(1)1xf14．若命题 是假命题, 则实数 的取值范围是 ．200:,pRaa15．已知 ，则 的最小值为____．16．把正整数排列成如图甲所示三角形数阵，然后擦去偶数行中的奇数和奇数行中的偶数，得到如3图乙所示三角形数阵，设 为图乙三角形数阵中第 行第 个数，若 ，则实数对ijaij2015mna为________．,mn三．解答题：(本大题共 6 小题，请写出必要的文字说明和解答过程，共 70 分)17．已知角 A、B、C 为△ABC 的三个内角，其对边分别为 a、b、c，若 ，)2sin,co(Am，a＝2 ，且 ．)sin,(co321nm（1）若△ABC 的面积 S＝ ，求 b＋c 的值．（2）求 b＋c 的取值范围．18．设等差数列 的前 项和为 ．且 ．nanS10523nSa，（Ⅰ）求数列 的通项公式；（Ⅱ）令 ，求数列 的前 项和 ．12nbanbnT419．如图，已知长方形 中，ABCD为 的中点，将 沿2,ABMM折起，使得平面 平面 ．（1）求证： ；DB（2） 若点 是线段 上的一动点，问点 在何位置时，三棱锥 的体积与四棱锥EEEADM的体积之比为 1：3？ACM20．已知椭圆 上任意一点到两焦点 距离之和为 ，离心率)0(2bayx 21,F24为 ．23（1）求椭圆的标准方程；（2）若直线 的斜率为 ，直线 与椭圆 C 交于 两点．点 为椭圆上一点，求△PAB 的l12lBA,)1,2(P面积的最大值．21．已知函数 （ ） ．())xfxkeR（1）求 的单调区间和极值；（2）求 在 上的最小值．()fx1,2（3）设 ，若对 及 有 恒成立，求实数 的取'()gfx35,2k0,1x()gx值范围．22.设函数 12fxxa．（1）当 a时，求不等式 f的解集；（2）若不等式 0fx，在 ,3上恒成 立，求 a的取值范围．523．已知曲线 C1的参数方程为 （t 为参数） ，以坐标原点为极点，x 轴的正半轴为极45cosinxy轴建立极坐标系，曲线 C2的极坐标方程为 .2si（1）把 C1的参数方程化为极坐标方程；（2）求 C1与 C2交点的极坐标（ ）.0,6参考答案1．ADAABD 7．ABBADD13． 14． 15．3 16．(,)31,45,017． （1） （2） 的取值范围是4bc＋ ＝ ． bc＋ ,218． （Ⅰ） ；（Ⅱ） .na*N， )1(nT19． （1）详见解析（2） 为 的中点EDB(3)证明线线垂直，需转化为证明线面垂直.20． （1） ， （2）182yx21． （1） 的单调递增区间为 ，单调递减区间为 ，()f(1,)k(,1)k，无极大值；1kfxe极 小 值（2） 时 ， 时 ， 时 ，k()()fxfe最 小 值 23k1()()kfxfe最 小 值 3；（3） .2()fxke最 小 值 22． （1） 2,；（2） 5,．23． （1）. （2）.28cos10in60(,)241湖北省枣阳市 2017 届高三文综上学期周考试题（扫描版）2345678910111213141516171湖北省枣阳市 2017 届高三英语上学期周考试题第 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 does the man mean?A．He never smokes in the dormitory．B．The woman can smoke at another time．C．Smoking is forbidde n in the dormitory．2．How does the man feel?A．Very annoyed． B．Quite satisfied． C．A bit disappointed．3．What will the woman do at five today?A．Have a picnic． B．Go shopping． C．Watch a football game．4．What is the woman going to do next month?A．Hold a big party with John．B．Marry John on the 14th．C．Attend John’s wedding．5．When will the man leave for New York?A．Tomorrow morning． B．Tomorrow afternoon． C．Tomorrow evening．第二节(共 15 小题；每小题 1.5 分，满分 22．5 分)请听下面 5 段对话。每段对话后有几个小题，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。听每段对话前，你将有时间阅读各个小题，每小题 5 秒钟；听完后，每小题将给出 5 秒钟的作答时间。每段对话读两遍。请听第 6 段材料，回答第 6 至 7 题。6．When did the rainstorm stop?2A．Around 4：30． B．Around 5：00． C．Around 5：30．7．What did the rainstorm destroy?A．The man’s garden．B．The man’s garage．C．The man’s neighbors’ garage．请听第 7 段材料，回答第 8 至 9 题。8．How will the man’s wife go to work tomorrow morning?A．By taxi． B．By bus． C．By car．9．Which bus will the man take tomorrow evening?A．A 5：30 bus． B．A 6：30 bus． C．A 7：30 bus．请听第 8 段材料，回答第 10 至 12 题。10．Why does the man say the traffic in Italy was terrible?A．The roads were bad．B．The traffic lights were messy．C．The Italian drivers were crazy．11．What did the man do on that rainy day?A．He went to the Amo River．B．He visited Florence and took photos．C．He climbed the Leaning Tower of Pisa．12．What does the woman like about Florence?A．The paintings． B．The buildings． C．The food.请听第 9 段材料，回答第 13 至 16 题。l3．When did the woman finish her school?A．In 2007． B．In 2008． C．In 2009．14．What does the woman do now in the advertising company?A．She is a junior designer．B．She is a senior designer．C．She is the head designer．15．Why does the woman want to leave the advertising company?A．She wants to get more money．3B．She wants to get more experience．C．She doesn’t want to work on weekends．16．What do we know about the woman?A．She will start her new job immediately．B．She is the youngest child in her family．C．She doesn’t have a university degree．请听第 10 段材料，回答第 17 至 20 题。17．What is the woman most probably?A．A reporter． B．A teacher． C．A writer．18．What is the man’s first opinion about?A．Playing fewer computer games．B．Having a regular diet to stay healthy．C．Reviewing lessons an d planning for the new term．19．How can students gain some experience according to the man?A．By planning a weekend trip．B．By taking care of our pets for our parents．C．By cooking a meal for our grandparents．20．What is the man talking about?A．Where to spend a holiday．B．How to spend a holiday．C．What to prepare for the new term．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，并在答题卡 上将该项涂黑。ASunday, October 5Sunny, 66°FMy wife, Ellen, and I traveled by train from Paris to Strasbourg, where we met our driver and guide and the minibus which goes along with the boat. We stopped off in 4Barn for an hour on the way. Then we were taken to Nancy where the boat was kept.After the other passengers arrived, we had our first dinner on the boat. After dinner we walked into downtown Nancy, a village with a large square and wooden houses.Monday, October 6Rained last night, cloudy in the morning, 69°FWe spent about two hours in Nancy, and then sailed on the Canal de la Marne au Rhine. Kind of a lazy day. Eating breakfast, lunch, and dinner, after dinner we watched a tape on Baccarat, where we will visit tomorrow.It was pleasant to sit out on deck and watch the scenery go by at about 3 mph.Tuesday, October 7Light rain, 64°FThis morning we drove over to Baccarat and toured its museum and the church, which has this unbelievable lamp that is going on a world tour the next day. We did lots of shopping, and then walked across the bridge to see a very, very modern Catholic church with special Baccarat windows.We drove to the top of the Voges Mountains and started down the eastern side. Later we drove to Sorrenbourg to see the 13th century church at the Cordeliers.Wednesday, October 8Cloudy, 65°FToday we sailed from Schneckenbush to Saverne. We went through two caves, an extremely unusual part of the journey. This river scenery is very different. We were in a mountain valley with grassland on one side and a forest beginning to show some color on the other.Thursday, October 9Cloudy, 66°FOur dependable minibus was waiting to load the luggage and take us to the hotel where everyone went their separate ways. Our boating days are over until next time.21．Where did the author get off the train?A. Paris. B. Nancy. C. Strasbourg. D. Barn.22．On which days did the tourists spend most of their time on the boat?5A. Monday and Tuesday. B. Monday and Wednesday.C. Wednesday and Thursday. D. Tuesday and Wednesday.23．What does the author think of the tour?A. Tiring. B. Expensive. C. Quick. D. Enjoyable.Robots at the World Expo 2010 Shanghai play football，practice tai chi , play the violin, prepare Chinese dishes and care for the elderly. Scrap metal robots created by a Chinese farmer can pour tea and paint pictures. Global designers of robots are making them more capable, powerful and affordable, so they will play more roles in more sectors, from manufacturing to health care, and they can help around the house. Now Toyota, the world's biggest car maker, and Canon, the biggest camera maker, have joined research and development to make robots a practical reality, like a PC. The Expo Shanghai is a place where China can learn about advanced robotics, and a stage for made-in-China robots. Developers are taking robots from “Star Wars” and top laboratories and putting them into the industrial sector, even in consumer markets. They are used in health care, computer programming, manufacturing and culture. The goals are to add more practical functions and to cut prices, and lower cost comes with higher volume. “The World Expo is a unique opportunity to demonstrate French technology， ”says Bruno Maisonnier，chief executive of Aldebaran Robotics, which shows Nao robots in the France Pavilion. More than 700 Nao robots, which cost 1,000 to12,000 euros (US $ 14,640) each, are sold mainly to research organizations, including 60 to 70 in China. The French-based company aims to promote robots in the general public market starting from late2011，with entertainment or learning functions at a “reasonable price“, according to Maisonnier. Visitors to the Japan Pavilion are struck by Toyota's dextrous Partner Robot playing the Chinese folk song Jasmine Flower on the violin. Other robots play other 6instruments, but the violin is the most complicated. Many people were so enchanted by the robotic musician that they overlooked other Partner Robots, designed to be personal assistants especially for Japan's aging population. One can even carry passengers. 24． Robots at the World Expo 2010 Shanghai are designed to be __________ A. enjoyable and interestingB. practical and affordableC. good-looking and considerateD. funny and relaxing25． Toyota and Canon have joined research and development to make robots, which shows __________ A. robots are not too difficult to designB. they want to abandon their present careerC. they are more fit to make robotsD. robot manufacture will become a big market26． From the passage we can see Nao robots are designed __________ A. to show robots can be made cheaplyB. to meet the need of researchC. to serve the needs of every one of usD. to show robots can be intelligent27． What's the best title of the passage?A. Advanced robots in the worldB. Robots in the futureC. Robots, practical and affordableD. Robots show at the World Expo 2010 ShanghaiMalaysia Airlines Flight MH370, after its shocking disappearance, has caught the attention of millions around the world as the search for the airplane and its passengers and crew continues. What happened to the flight’s 239 passengers and crew after the plane left Kuala Lumpur on Saturday? It is becoming an increasingly 7desperate question as the days pass.But it’s hardly the first mystery of its kind. Here are some half-solved and unsolved airline mysteries that kept investigators clueless for years.Air France Flight 447: An Airbus A330 flight from Rio de Janeiro to Paris plunged into the Atlantic Ocean in 2009, killing all 228 passengers and crew on board. But it took a full five days for search and rescue teams to find the wreckage（残骸）and another three years for investigators to report that ice crystals had caused the autopilot (自动驾驶仪) to disconnect. The bodies of 74 passengers remain unrecovered.Amelia Earhart: Top pilot Amelia Earhart disappeared in her twin-engine monoplane Electra over the Pacific Ocean in 1937 in an attempt to travel around the globe. No sign of her plane was ever found even after a multi-million dollar search effort, and Earhart was officially declared dead in 1939.Flying Tiger Line Flight 739: A U.S. military flight left Guam in 1962 with more 90 personnel headed for the Philippines, but it never arrived. The pilots never issued a distress call, and 1,300 people involved in the U.S. military search never found any sign of wreckage.British South American Airways: It took more than 50 years to find any trace of the 11 people aboard a 1947 flight that disappeared in the Andes Mountains. A pair of Argentineans rock climbers discovered engine wreckage in the Andes in 1998, and an army expedition later found human remains as well.Uruguayan Air Force Flight 571: A flight headed to Santiago, Chile carrying 45 passengers and crew crashed into the Andes Mountains in poor weather in 1972, killing twelve people. In the meantime, eight were killed in an avalanche (雪崩) that hit the plane’s wreckage where they were taking shelter, and the rest stayed alive by eating the flesh of the dead before they were finally found more than two months after disappearing out of the sky.28．The underlined word “plunged” in Paragraph 3 is closest in meaning to _____.A. jumped B. broke C. dived D. flew29．What can we learn from Uruguayan Air Force Flight 571? _____.A. 12 people were lost until now.8B. 25 people were rescued immediately.C. The rest who stayed alive killed 8 people.D. 8 were killed by a fall of a large mass of snow down a mountainside.30．From the passage, what could have led to British South American Airways crash?A. The bad weather. B. Not mentioned.C. The ice crystals. D. The lightning.31．Which of the f ollowing is TRUE according to the passage? _____.A. Earhart was declared dead by the local government two years later.B. The bodies of Flight 447 had all been found after three years.C. Two Argentineans rock climbers discovered the dead in the Andes.D. Malaysia Airlines Flight MH370 was regarded as the largest air crash.Among all the fast growing science and technology, the research of human genes, or biological engineering as people call it, is drawing more and more attention now. Sometimes it is a hot topic discussed by people.The greatest thing that gene technology can do is to cure serious diseases that doctors at present can almost do nothing with, such as cancer and heart disease. Every year, millions of people are murdered by these two killers. And to date, doctors have not found an effective way to cure them. But if the gene technology is applied, not only these two diseases can be cured completely, bringing happiness and moreliving days to the patients, but also the great amount of money people spend on curing their diseases can be saved, therefore it benefits the economy as well. In addition, human life span (寿命) can be prolonged.Gene technology can help people to give birth to more healthy and clever children. Some families, with the English imperial (皇家的) family being a good example, have hereditary diseases. This means their children will for sure have the family disease, which is a great trouble for these families. In the past, doctors could do nothing about hereditary diseases. But gene technology can solve this problem perfectly. The scientist just need to find the wrong gene and correct it, and a healthy child will be born.9Some people are worrying that the gene research can be used to manufacture human beings in large quantities. In the past few years, scientists have succeeded in cloning a sheep, therefore these people predict that human babies would soon be cloned. But I believe cloned babies will not come out in large quantities, for most couples in the world can have babies in very normal way. Of course, the government must take care to control gene technology.32． What does “them” in the second paragraph refer to ?A. People with cancer or heart disease.B. Millions of people with serious diseases.C. Some diseases doctors can do nothing with.D. The two illnesses of cancer and heart disease33． What can gene technology do according to paragraph three?A. It can help the English imperial family out.B. It can be used to clone human babies.C. It can help people to give birth of a baby.D. It is likely to treat hereditary diseases.34． What are people worried about according to the passage?A. Human babies may be cloned in a large scale.B. Healthy human babies will soon be cloned.C. Scientists may well find the wrong genes.D. The government may not control gene techs.35． This passage is mainly written to _________________.A. show gene technology will benefit peopleB. show gene technology will do harm as wellC. tell that gene technology is a hot topicD. tell that gene technology is growing fast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。选项中有两项为多余选项。Some Ways to Deal With Hardship and Pain in Life10Regardless of the difficulties you may face, it’s getting back up and moving forward that counts the most when you need to deal with hardship.36．Write or talk about how you feelKeeping my feelings to myself used to make me feel lonely, but when I found someone who actually cared about me, it became natural to share how I felt with him and that contributed to my ability to overcome troublesome situations. 37． Although talking to strangers about your issues may seem crazy, it actually isn’t.38．It is said that running away from your problems will never help, and though that’s partially true, it doesn’t mean that you need to make yourself go so deeply into a situation that you run out of air to breathe and lose the ability to weigh the pros and cons of your choices. That happens more than we like to admit, which is why it’s important to separate yourself from a situation long enough to think clearly without having people hanging over your shoulders.Remind yourself that you’re not aloneRegardless of who or what you depend on, you need to remind yourself that you are not alone; you have people who do care. 39． Sometimes it’s strangers who may share the same feelings as you do. Th