【正文】 ．（Ⅰ）求q的值；（Ⅱ）求數(shù)列{bn}的通項(xiàng)公式．【答案】（Ⅰ）；（Ⅱ）.【解析】【分析】分析:（Ⅰ）根據(jù)條件、等差數(shù)列的性質(zhì)及等比數(shù)列的通項(xiàng)公式即可求解公比；（Ⅱ）先根據(jù)數(shù)列前n項(xiàng)和求通項(xiàng)，解得，再通過疊加法以及錯(cuò)位相減法求.【詳解】詳解：（Ⅰ）由是的等差中項(xiàng)得，所以，因?yàn)?，所?（Ⅱ）設(shè)，（Ⅰ）可知，所以，故，.設(shè)，所以，因此，又，：用錯(cuò)位相減法求和應(yīng)注意的問題：(1)要善于識(shí)別題目類型，特別是等比數(shù)列公比為負(fù)數(shù)的情形；(2)在寫出“”與“”的表達(dá)式時(shí)應(yīng)特別注意將兩式“錯(cuò)項(xiàng)對(duì)齊”以便下一步準(zhǔn)確寫出“”的表達(dá)式；(3)在應(yīng)用錯(cuò)位相減法求和時(shí)，若等比數(shù)列的公比為參數(shù)，已知點(diǎn)P是y軸左側(cè)(不含y軸)一點(diǎn)，拋物線C：y2=4x上存在不同的兩點(diǎn)A，B滿足PA，PB的中點(diǎn)均在C上．（Ⅰ）設(shè)AB中點(diǎn)為M，證明：PM垂直于y軸；（Ⅱ）若P是半橢圓x2+=1(x【答案】（Ⅰ）證明見解析；（Ⅱ）.【解析】【分析】分析:（Ⅰ）設(shè)P,A,B的縱坐標(biāo)為，根據(jù)中點(diǎn)坐標(biāo)公式得PA,PB的中點(diǎn)坐標(biāo)，代入拋物線方程，可得，即得結(jié)論；（Ⅱ）由（Ⅰ）可得△PAB面積為，利用根與系數(shù)的關(guān)系可表示為的函數(shù)，根據(jù)半橢圓范圍以及二次函數(shù)性質(zhì)確定面積取值范圍.【詳解】詳解：（Ⅰ）設(shè)，．因?yàn)?，的中點(diǎn)在拋物線上，所以，為方程，即的兩個(gè)不同的實(shí)數(shù)根．所以．因此，垂直于軸．（Ⅱ）由（Ⅰ）可知所以，．因此，的面積．因?yàn)椋裕虼?，面積的取值范圍是．點(diǎn)睛：求范圍問題，一般利用條件轉(zhuǎn)化為對(duì)應(yīng)一元函數(shù)問題，即通過題意將多元問題轉(zhuǎn)化為一元問題，再根據(jù)函數(shù)形式，選用方法求值域，如二次型利用對(duì)稱軸與定義區(qū)間位置關(guān)系，分式型可以利用基本不等式，復(fù)雜性或復(fù)合型可以利用導(dǎo)數(shù)先研究單調(diào)性，．（Ⅰ）若f(x)在x=x1，x2(x1≠x2)處導(dǎo)數(shù)相等，證明：f(x1)+f(x2)8?8ln2；（Ⅱ）若a≤3?4ln2，證明：對(duì)于任意k0，直線y=kx+a與曲線y=f(x)有唯一公共點(diǎn)．【答案】（Ⅰ）證明見解析；（Ⅱ）證明見解析.【解析】【分析】分析:（Ⅰ）先求導(dǎo)數(shù)，根據(jù)條件解得x1，x2關(guān)系，再化簡(jiǎn)f(x1)+f(x2)為，利用基本不等式求得取值范圍，最后根據(jù)函數(shù)單調(diào)性證明不等式；（Ⅱ）一方面利用零點(diǎn)存在定理證明函數(shù)有零點(diǎn)，另一方面，利用導(dǎo)數(shù)證明函數(shù)在上單調(diào)遞減，.【詳解】詳解：（Ⅰ）函數(shù)f（x）的導(dǎo)函數(shù)，由,得，因?yàn)?，所以．由基本不等式得．因?yàn)椋裕深}意得．設(shè)，則，所以x（0，16）（16，+∞）0+24ln2所以g（x）在[256，+∞）上單調(diào)遞增，故，即．（Ⅱ）令m=，n=，則f（m）–km–a|a|+k–k–a≥0，f（n）–kn–a由f（x）=kx+a得．設(shè)h（x）=，則h′（x）=，其中g(shù)（x）=．由（Ⅰ）可知g（x）≥g（16），又a≤3–4ln2，故–g（x）–1+a≤–g（16）–1+a=–3+4ln2+a≤0，所以h′（x）≤0，即函數(shù)h（x）在（0，+∞）上單調(diào)遞減，因此方程f（x）–kx–a=0至多1個(gè)實(shí)根．綜上，當(dāng)a≤3–4ln2時(shí)，對(duì)于任意k0，直線y=kx+a與曲線y=f（x）有唯一公共點(diǎn)．點(diǎn)睛：利用導(dǎo)數(shù)證明不等式常見類型及解題策略：(1)，確定差函數(shù)單調(diào)性，利用單調(diào)性得不等量關(guān)系，進(jìn)而證明不等式.（2）根據(jù)條件，或利用放縮、等量代換將多元函數(shù)轉(zhuǎn)化為一元函數(shù).第四篇：2014年普通高等學(xué)校招生全國(guó)統(tǒng)一考試英語試題(新課標(biāo)II卷,解析版)英語本試卷分第I卷（選擇題）和第II卷（非選擇題）兩部分。注意事項(xiàng)：1．答第I卷前考生務(wù)必將自己的姓名、準(zhǔn)考證號(hào)填寫在答題卡上。如需改動(dòng),用橡皮擦干凈后,再選涂其他答案標(biāo)號(hào)框,不能答在本試卷上，否則無效。并在答題卡上將該選項(xiàng)涂黑．AArriving in Sydney on his own from India, my husband, Rashid, stayed in a hotel for a short time while looking for a short time while looking for a house for me and our the first week of his stay, he went out one day to do some came back in the late afternoon to discover that his suitcase was was extremely worried as the suitcase had all his important papers, including his reported the case to the police and then sat there，lost and lonely in strange city, thinking of the terrible troubles of getting all the paperwork organized again from a distant country while trying to settle down in a new in the evening, the phone was a was trying to pronounce my husband’s name and was asking him a lot of he said they had found a pile of papers in their trash can（垃圾桶）that had been left out on the husband rushed to their home to find a kind family holding all his papers and young daughter had gone to the trash can and found a pile of unfamiliar parents had carefully sorted them out, although they had found mainly foreign addresses on most of the last they had seen a halfwritten letter in the pile in which my husband had given his new telephone number to a and trust in still remember their kindness and often send a warm wish their did Rashid plan to do after his arrival in Sydney? shopping a house his family his family girl’s parents got Rashid’s phone number friend of his family Sydney policeman letter in his papers stranger in Sydney does the underlined word “restored” in the last paragraph mean? out back of the following can be the best title for the text? India to in a New Trash to Search of New Since the first Earth Day in 1970, Americans have gotten a lot “greener” toward theenvironment.“We didn’t know at that time there even was an environment, let alone that there was a problem with it,” says Bruce Anderson, president of Earth Day what began as nothing important in public affairs has grown into a social people, political leaders, university professors, and especially millions of grassroots Americans are taking part in the movement.“The understanding has increased many, many times,” says Gaylord Nelson, the former governor from Wisconsin, who thought up the first Earth to US government reports, emissions(排放)from cars and trucks have dropped from million tons a year to number of cities producing CO beyond the standard has been reduced from 40 to serious problems still remain and need to be dealt with, the world is a safer and healthier kind of “Green thinking” has bee part of improvement has been 1988 there were only 600 recycling programs。Found at should you know about farecard machines? start selling tickets at 9:30 are connected to change offer special service to the make change for no more than $ what time does Metrorall stop service on Saturday? 3 5 is good about a SmarTrip?card? is convenient for old saves money for its users C It can be bought at any train is sold on the Internet number should you call if you lose something on the Metro? 第二節(jié)（共5小題：每小題2分，滿分10分）根據(jù)短文內(nèi)容，從短文后的選項(xiàng)中選出能填入空白處的最佳選項(xiàng)。Tips for Cooking on a Tight ScheduleFrom my experience, there are three main reasons why people don’t cook more often: Money is a topic I’ll save for another today I want to give you some wisdom about how to make the most of the time you spent in the are three tips for great cooking on a tight schedule:Think moments when I think cooking is a pain are when I’m already hungry and there’s nothing ready to think ahead of the ing will you have time to Make your time worth you do find time to cook a meal, make the most of it and save yourself time later you making one loaf of bread?.It takes around the same amount of time to make more of save yourself the effort for future may surprise you, but one of the best tools for making cooking worth your time is gives you the chance to hit upon new ideas and recipes that can work well with your appetite and more you learn and the more you try, the more ability you have to take control of your food and your that gives you a good don’t let a busy schedule discourage you from making some great changes in the way you eat and live! new is easily three or four your food is a burden for many cooking and living simply be a joy rather than a little time