问题 填空题

若关于x的方程|ex-3x|=kx有四个实数根,则实数k的取值范围为______.

答案

函数y=|ex-3x|的图象如下图所示:

由图可知当0<k<k1时,函数y=|ex-3x|的图象与y=kx的图象有四个交点

∵当k=3-e时,函数y=3x-ex与y=kx的图象相切,故

k1=3-e

即实数k的取值范围为(0,3-e)

故答案为:(0,3-e).

写作题

读写任务

阅读下面的短文, 然后按照要求写一篇150词左右的英语短文。

     Five years ago, David Smith wore an expensive suit to work every day. “I was a clothes addict, ” he

jokes. “I used to carry a fresh suit to work with me so I could change if my clothes got wrinkled.” Today David wears casual clothes-khaki pants and sports shirt-to the office. He hardly ever wears a necktie.

“I’m working harder than ever, ” David says, “and I need to feel comfortable.”

     More and more companies are allowing their office workers to wear casual clothes to work. In the

United States, the change from formal to casual office wear has been gradual. In the early 1990s, many

companies allowed their employees to wear casual clothes on Friday (but only on Friday). This became

known as    “dressdown Friday” or “casual Friday.” “What started out as an extra onedayaweek benefit

for employees has really become an everyday thing.” said business consultant Maisly Jones.

【写作内容】

1. 概括短文的内容要点, 该部分的词数大约为30字;

2. 同学们对穿校服的规定有不同的看法, 学生会就此组织同学们进行讨论。你准备写一篇文章参加讨论, 题目是 “Should Students Be Required to Wear School Uniform on the Campus?”。

文章至少包含以下的内容要点, 该部分的词数大约为120字。

a. 你们学校是否规定要穿校服?

b. 你觉得上学穿校服好还是穿便装好, 为什么?

【写作要求】

1. 在作文中可以使用自己的亲身经历或虚构的故事, 也可以参照阅读材料的内容但不得直接引用原文中的句子;

2. 作文中不能出现真实姓名和学校名称。

【评分标准】

概括准确, 语言规范, 内容合适, 篇章连贯

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