河源职业技术学院2014自主招生综合文化知识考试大纲(高中生)(3)

二、填空题（每题5分，共6小题，共30分）
1.函数 的最大值是  14 .
2.已知球的表面积是 cm2,则它的半径是  2cm  .
3.计算 )=  58 .
4.若圆 经过点 ，则加以坐标为（-1，3）.
5.已知向量 ， ，则 （3，6）
6.若{ }为等差数列， 则 =____24______
三、解答题（共2小题，共20分）
1.（本题8分）
直线 过点P(2,-3),倾斜角比直线 的倾斜角大45°，求直线 的方程。
2.（本题12分）
已知圆的方程是 直线 过点（2，-4）
（1）当 与圆相交时，求直线 的斜率范围；
（2）求过点（2，-4）的圆的切线方程。
 
英语部分

一、考试内容及要求
1.词汇与结构（Vocabulary and Structure）
词汇基本要求：领会掌握2500个单词的词汇量，对语法的整体架构有一定的了解，能掌握常见用法，测试考生运用语法知识的能力。
语法基本要求：掌握基本常见语法知识，例如：词法、句法、动词时态、语态、非谓语动词、简单句、复合句、从句、直接和间接引语等。
2、阅读理解
   阅读理解部分考核学生通过阅读获取书面信息的能力，包括理解主旨大意、判断作者观点、态度等。阅读部分考核的技能是：
   1）理解明确表达的概念或细节
   2）理解文章的中心思想（如找出能概括全文的要点等）
   3）理解作者的观点和态度
   4）理解词语（如根据上下文猜测词和短语的意思）
   5）理解篇章（如运用词汇及语法承接手段来理解篇章各部分之间的关系）
3、写作
   写作和翻译部分考核学生用英语进行书面表达的能力。写作部分要求考生用英语进行短文写作，思想表达准确，意义连贯，无重大语法错误；翻译部分要求考生用正确的语法结构和符合英语习惯的表达，将单句中的汉语部分译成英语。写作部分考核的技能是：
   1）表达中心思想
   2）围绕所给的题目叙述、议论或描述，突出重点
   3）连贯地组句成段，组段成篇
   4）运用恰当的词汇
   5）运用正确的语法 
   6）使用正确的标点符号
   7）使用衔接手段表达句间关系（如对比、原因、结果、程度、目的等）
二、考试方式及试题结构
 答卷方式：闭卷、笔试。
 试卷由词汇与结构、阅读理解和写作三个部分构成，满分为40分。
     各部分测试内容、题型、题量和所占分值如下表所示：
序号  内容 题型   题量 分值
1 词汇与结构 单项选择 5 10
2  阅读理解 单项选择  5  15
3  写作  写作  1  15
总分 40

三、参考书目
    1. 《新概念英语》第二册，Alexander, L.G. 何其莘，北京：外语教学与研究出版社，2012.3 重印。（从Lesson 49开始至Lesson 96。）
    2.《高一英语》（必修）上下册，人民教育出版社
3.《高二英语》（必修）上下册，人民教育出版社
4.《高三英语》（必修）上下册，人民教育出版社
四、考试样题
一、Vocabulary and Structure（每小题2分，共5小题，共10分）
Directions: In this section, there are 5 incomplete sentences. You are required to complete each one by deciding on the most appropriate word on words from the 4 choices marked A, B, C and D. Then you should write the corresponding letter on the Answer Sheet.
1.-What do you think of this novel?
　　 -          opinion, it’s quite true.
　　A. In the B. In my C. On the D. By my
2. He is a foreigner, but now he      on the right of the road in China.
　A .used to drive B. is used to drive C. used to driving D. is used to driving
3. The police          walking          the road now.
     A. are …pass   B .is… past   C. were…pass   D. were…past
4. While watching television,         .
　 A .the door bell rang               B. the doorbell rings
　C. we heard the doorbell ring D. we heard the doorbell rings.
5. The play ____ finish ____ nine last night.
　　 A. not, until        B. didn’t, until        C. doesn’t until        D. not, until
二、Readings .  （每小题3分，共5小题，共15分）　　
（1）　One day a big rock fell down from a mountain. The rock stopped in the middle of the road in a village. It was like a big ball. Some of the strongest men in the village tried to move the rock. But no matter how hard they tried, they couldn't move it away. They tried to push it; they tried to roll it and they tried to pull it with a rope, but nothing worked.
　　"Well" they agreed, "there's nothing we can do about it. We'll have to build another road. "
　　At this time, a young boy of about 12 years old said, "Excuse me, sirs, but I think I can help you move the rock. "
　　"You?" they shouted, "What are you talking about? All of us have just tried and we can't move it at all.” The men all laughed at the boy.
　　The next morning some people came into the street. One of them shouted, "The rock is gone!" More people ran out into the street to see for themselves. It was true, and no one could see it anywhere.
　　"It is impossible, where has it gone?" they said. The boy stood out, saying "I did it last night. I dug a deep hole next to the rock and the rock rolled down into the hole by itself. Then I covered it with earth. "
　　1. Where was the big rock from?
　　A. a street     B. a mountain    C. a hill    D. a tree
　　2. Why did the people in the village want to move the rock away? Because .
　　A. it was in the middle of the road           B. it was on the mountain
　　C. they didn't like the rock                 D. they wanted to build a road
　　3. What did the people decide to do when they were not able to move the rock away?
　　They decided to_______
　　A. find someone stronger to help them        B. ask a little boy of 12 to help them
　　C. build another road                      D. break the rock
　  4. Why did the people laugh at the boy? They thought that___.
　　A the boy was too weak to move the rock away
　　B the boy was so strong that he could move the rock
　　C. the boy was very helpful
    D. it was easy for him to move the rock
   5. The next morning the people in the village found the rock ____
　　A. disappeared                            B. was still there
　　C. was back on the mountain again         D. was rolling down from the mountain
三、 Writing.  （每小题15分，共1小题，共15分）
  You are required to write a piece of writing entitled on A Most Unlucky Day. You should write no less than 120 words.

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