江苏省新沂市第二中学高中英语《Unit 4 Project (1)》教案 新人教版选修6

江苏省新沂市第二中学高中英语《Unit 4 Project (1)》教案新人

教版选修6

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江苏省泰州市姜堰二中2017-2018学年高考数学四模试卷 Word版含解析

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13．已知O为△ABC的垂心，且+2+3=，则A角的值为_______． 14．设各项均为正整数的无穷等差数列{a n}，满足a54=4028，且存在正整数k，使a1，a54，a k成等比数列，则公差d的所有可能取值之和为_______． 二、解答题：本大题共6小题，共计90分，请在答题卡指定区域内作答，解答时应写出文字说明、证明或演算步骤． 15．如图，三棱柱ABC﹣A1B1C1为正三棱柱，BC=CC1=4，D是A1C1中点． （Ⅰ）求证：A1B∥平面B1CD； （Ⅱ）求点B到平面B1CD的距离． 16．已知△ABC中，，记． （1）求f（x）解析式及定义域； （2）设g（x）=6m?f（x）+1，，是否存在正实数m，使函数g（x）的值域 为？若存在，请求出m的值；若不存在，请说明理由． 17．如图，某广场为一半径为80米的半圆形区域，现准备在其一扇形区域OAB内建两个圆形花坛，该扇形的圆心角为变量2θ（0＜2θ＜π），其中半径较大的花坛⊙P内切于该扇形，半径较小的花坛⊙Q与⊙P外切，且与OA、OB相切． （1）求半径较大的花坛⊙P的半径（用θ表示）； （2）求半径较小的花坛⊙Q的半径的最大值． 18．已知椭圆+=1（a＞b＞0）上顶点A（0，2），右焦点F（1，0），设椭圆上任一点 到点M（0，6）的距离为d． （1）求d的最大值； （2）过点F的直线交椭圆于点S，T两点，P为准线l上一动点． ①若PF⊥ST，求证：直线OP平分线段ST； ②设直线PS，PF，PT的斜率分别为k1，k2，k3，求证：k1，k2，k3成等差数列．

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Frederick William Ⅰ，the King of Prussia , could never have imagined that his greatest gift to the Russian people would have such an amazing history . This gift was the Amber Room , which was given this name because several tons of amber were used to make it . The amber which was selected had a beautiful yellow-brown colour like honey . The design of the room was in the fancy style popular in those days . It was also a treasure decorated with gold and jewels , which took the country's best artists about ten years to make . In fact , the room was not made to be a gift . It was designed for the palace of Frederick Ⅰ. However, the next King of Prussia , Frederick William Ⅰ,to whom the amber room belonged, decided not to keep it. In 1716 he gave it to Peter the Great. In return , the Czar sent him a troop of his best soldiers. So the Amber Room because part of the Czar's winter palace in St Petersburg.About four metres long, the room served as a small reception hall for important visitors . Later,Catherine Ⅱhad the Amber Room moved to a palace outside St Petersburg where she spent her summers. She told her artists to add more details to it .In 1770 the room was completed the way she wanted . Almost six hundred candles lit the room ,and its mirrors and pictures shone like gold. Sadly , although the Amber Room was considered one of the wonders of the world , it is now missing . In September 1941, the Nazi army was near St Petersburg . This was a time when the two countries were at war . Before the Nazis could get to the summer palace , the Russians were able to remove some furniture and small art objects from the Amber Room . However , some of the Nazis secretly stole the room itself . In less than two days 100,000 pieces were put inside twenty-seven woooden boxs . There is no doubt that the boxs were then put on a train for Konigsberg, which was at that time a German city on the Baltic Sea . After that, what happened to the Amber Room remains a mystery . Recently , the Russians and Germans have built a new Amber Room at the summer palace . By studying old photos of the former Amber Room , they have made the new one look like the old one .In 2003 it was ready for the people of St Petersburg when they celebrated the 300th birthday of their city . A FACT OR AN OPINION? What is a fact? Is it something that people believe? No. A fact is anything that can be proved. For example, it can be proved that China has more people than any other country in the world. This is a fact. Then what is an opinion? An opinion is what someone believes is true but has not been proved. So an opinion is not good evidence in a trial. For example, it is an opinion if you say “Cats are better pets than dogs”. It may be true, but it is difficult to prove. Some people may not agree with this opinion but they also cannot prove that they are right. In a trial, a judge must decide which eyewit nesses to believe and which not to believe. The judge does not consider what each eyewitness looks like or where that person lives or works. He/she only cares about whether the eyewitness has given true information, which must be facts rather than opinions. This kind of information is called evidence. Unit 2 AN INTERVIEW Pausanias, who was a Greek writer about 2,000 years ago, has come on a magical journey on March 18th 2007 to find out about the present-day Olympic Games. He is now interviewing Li Yan, a volunteer for the 2008 Olympic Games.

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