math competition

校内数学竞赛计划书
1. 时间: 14：00-16：00，sep/10/2010
地点：报告厅
参加人员：全体十一年级学生，（如有老师需要补课，可以向数学老师借课），所有11 年级数学老师，11年级班主任。

也欢迎其他科教师到现场观看
2.选手选拔
班级内部可以通过投票形式选出参赛队员4 名，代表班级参赛。

比赛时，各班同学坐在参赛队员身后，可以给参赛同学提供援助。

3 题目类型
题目均为英文，主持人可视题目难度适当用中文解释。

选手可用中文答题
Section 1:“基本功”：该部分内容考查选手对课上所学知识掌握和灵活运用的程度，题目来自十一年级的两门数学课：MAS 和MA T.
Section 2 :“新武器”：考查学生利用计算器探索，发现，总结创新的能力，要求学生出对计算器的基本功能十分了解之外，要能够熟练运用它去探索和发现知识，解决问题。

Section 3:
Section 4:“最佳搭档”：考察数学单词，每队出两名队员，一个比划一个猜
Section 5: “创意无限”：学生用创意展现自己对数学的理解和掌握。

4 比赛规则
Section 1: 必答, (15-20 questions) 每道题平均1-2分钟，总时间约30分钟。

主持人出示题目后，各组分别开始答题，答案写在答题板上。

每道题的分值从10分到50分不等，由难度决定分值。

在规定时间内得到正确答案得满分，超时或答案错误不得分。

由评委老师为各组打分，每个老师负责特定组的打分。

如评委A 负责为1、2、3组打分。

Section 2：抢答，（20 questions) 总时间: 20分钟：主持人出示题目后，各组开始抢答，若最先抢到的组答对则得分，不正确则扣除相应的分数，主持人则公布正确答案，之后进入下一题。

最先抢到的组应在10秒内给出正确答案，超时或答案错误都将被扣除相应的分数。

Section 3: 抢答，(20 questions) ：总时间: 20分钟，形式和section2类似
Section 4: 必答，总时间: 20分钟，每组有两分钟时间，主持人将出示一系列数学单词，一个比划一个猜，规定时间答出越多得分越多。

每答对一个得十分
Section 5:总时间:30分钟。

附加题，学生可以以任何形式（如唱歌，跳舞，表演，海报等）展现自己对数学的理解和把握。

抽签决定上场顺序评委将从创意和与数学的关联两个方向给选手打分，选手得分为评委打分的平均分。

分数范围：0-100
注：
（1) 每队有一定基础分，分值为抢答部分的总分数。

（2）评委有权要求选手对答案作出解释。

（3）本着学习第一，比赛第二的原则：选手如不服从评委决定，可在赛后与老师商议，当场顶撞老师，口出不逊等行为将被扣一定分数。

5.工作人员
(1)主持人2名：最好一男一女，数学老师，英文流利，大方得体，活跃幽默。

(2)评委：4名，MAT 和MAS 各2名.
(3)抢答器监督员一名，负责协助主持人在抢答环节确定答题的参赛队。

(4)记分员：视参赛队数再定，每对配一名记分员。

(5)总分员：负责比赛结果汇总，为主持人提供最终获奖名单
(6)IT 人员2名，负责正确地向参赛队员出示题目
(7)班主任负责维持现场秩序
(8)电教部门录像
6.比赛结果及奖励
比赛设一、二、三等奖各一名，获奖队每名队员可获得相应奖品及荣誉证书。

比赛中场短时文艺表演以作休息，结束总分期间可以加入短时文艺表演，然后主持人现场公布结果，颁奖。

Calculator Use
1. Calculate 6)45(i -
2. Factorize 12226423+-+x x x
3. Solve ππ22f or
cos 2tan sin ≤≤--=⋅x x x x 4. Differentiate 1
2322+++=x x x y 5. Draw the graph of 6
522+-=
x x y 6. Find the limit →x lim 7. Integrate dx x ⎰4sin
8. Evaluate the following :(a) f(5) (b) f(-3) (c) f(2.5) Where 2148)(23++-=x x x x f
9. Find the limit: n
x n ⎪⎭⎫ ⎝⎛+∞→3.01lim 10. Draw the graph: 41x x y +=
11. Find the area between the curve of x y 1= and the x-axis from x=1 to x=4
12. t
0 1 2 3 4 5 6 7 8 9 10 P 500 430 314 286 234 185 155 140 118 99 71 P and t are thought to be related by a rule that is of the form
t b P P 0=
Determine the value of 0P and b
13. Express θθcos 3sin 2- in the form )sin(βθ-a
Syllabus Related
1. There are 6 marbles with exactly same size and weight, only the color is different. There are 4
blue and 2 red. I put them into a bag and take them one by one without replacement. What’s the probability to get the second marble for red?
2.
You want to hire a temporary employee for one month. You offer him reasonable wages, but the employee suggests an alternative. For the first day of work, he will be paid a penny. For the second day, two pennies. For the third day, four pennies. The salary for each subsequent day will be double the previous day's, until the one month term is over. Ignoring the legalities of such a situation, would it be a good idea to accept the potential employee's proposal?
3.PH
4.Given that
Fun Math
1．There is a roll of toilet paper. Please estimate the total distance when you expanding the whole roll of toilet paper. You are only allowed to use a piece of ruler.
2.
You want to hire a temporary employee for one month. You offer him reasonable wages, but the employee suggests an alternative. For the first day of work, he will be paid a penny. For the second day, two pennies. For the third day, four pennies. The salary for each subsequent day will be double the previous day's, until the one month term is over. Ignoring the legalities of such a situation, would it be a good idea to accept the potential employee's proposal?
3.
A solo dice game is played thusly: one each turn, a normal pair of dice is rolled. The score is calculated by taking the product, rather than the sum, of the two numbers shown on the dice.
On a particular game, the score for the second roll is five more than the score for the first; the score for the third roll is six less than that of the second; the score for the fourth roll is eleven more than that of the third; and the score for the fifth roll is eight less than that of the fourth. What was the score for each of these five throws?。