Ways to improve your Maths result?

首先聪明和敏捷对于数学学习来说固然重要,但良好的学习方法可以把学习效果提高几倍,这是先天因素不可比拟的。学好数学首先要过的是心理关。任何事情都有一个由量变到质变的循序渐进的积累过程。
一.预习。不等于浏览。要深入了解知识内容,找出重点,难点,疑点,经过思考,标出不懂的,有益于听课抓住重点,还可以培养自学能力,有时间还可以超前学习。
二.听讲。核心在课堂。1。以听为主,兼顾记录。2。注重过程,轻结论。
3.有重点。4。提高听课效率。
三.复习。像演电影一样把课堂复习,整理笔记,
四.多做练习。1。晚上吃饭后,坐到书桌时,看数学最适合,2。做一道数学题,每一步都要多问个别为什么,不能只满足于老师课堂上的灌输式传授和书本上的简单讲述,要想提高必须要一步一步推,一步一步想,每个过程都必不可少,3。不要粗心大意,4。做完每一道题,要想想为什么会想到这样做,大脑建立一种条件发射,关键在于每做一道题要从中得到东西,错在哪,5。解题都有固定的套路。6还有大胆的夸奖自己,那是树立信心的关键时刻,
五.总结。1。要将所学的知识变成知识网,从大主干到分枝,清晰地深存在脑中,新题想到老题,从而一通百通。2。建立错误集,错误多半会错上两次,在有意识改正的情况下,还有可能错下去,最有效的应该是会正确地做这道题,并在下次遇到同样情况时候有注意的意识。3。周末再将一周做的题回头看一番,提出每道题的思路方法。4有问题一定要问。
六.考前复习,1。前2周就要开始复习,做到心中有数,否则会影响发挥,再做一遍以前的错题是十分必要的,据说有一个同学平时只有一百零几,离高考只有一个月,把以前错题从头做一遍,最后他数学居然得了147分。2。要重视基础,
另外,听老师的话,勤学苦练不可少,成功没有捷径,要乐观,有毅力,要有决心,还要有耐心,学数学是一个很长的过程,你的努力于回报往往不能那么尽如人意的成正比,甚至会有下坡路的趋势,但只要坚持下去,那条成绩线会抬起头来,一定能看到光明。

17 thoughts on “Ways to improve your Maths result?

  1. 老师,你上课给我们时间发问的的时候,可不可以不要只停在一个角落附近教那里的人,这样别地方的有问题问不到。可以改进吗?sorry我不是在批评,提醒你一下罢了><

  2. 你好,我是高一理4的张振康(坐在刘思皓旁的那位)
    我尝试去解小测验范围的那几页的习题,但有不少都很难,请问能在课堂上解一解吗?
    我还有一个问题,请问在什么情况下,根号开出来后前面要放’土'(正负)的符号?
    谢谢…

  3. Hi Man.U,
    You gave me the x-coordinates only, how about the y-coordinates?
    Your answers are not equations!!!
    The gradient of a straight line y=x is 1. Therefore, the straight line perpendicular to y=x must have the gradient=-1!!!!
    From here, you have known 1 point (sqrt(5)/2,?) and a gradient. Can you find out the equation of P? Similarly for Q.

  4. Q13. asked you to find the centre of a circle which passes through the vertices of the given quadrilateral.
    Let A be (-1,1), B be (1,3), C be (3,1) and D be (1,-1) all four points are given. They are the vertices of the quadrilateral.

    Step 2: find the equation of the line perpendicular and bisected to BC
    Step 3: find the equation of the line perpendicular and bisected to DC
    (Of course, you can use any other two sides.)
    Step 4: having two equation of the lines. You can find the coordinates of intersection of these two lines. (Let say this point is O)
    Step 5: This point is the circumcentre of the triangle BCD.
    Step 6: Find the length of OA,OB,OC,OD. If OA=OB=OC=OD then these four become the radius of a circle with O as a center! (Proved. Cyclic means the 4 givens points are on the circle)

    Q15.
    A rectangle must have 4 perpendicular angles and two pair of parallel lines. Given 3 points. you are asked to find the 4th point.

  5. Q15: Let (a,b) be the 4th point. From a sketch graph, you know that(3,4)&(1,3) must parallel to (a,b)&(4,-3). (3,4)&(a,b) parallel to (1,3)&(4,-3).

    Solution:

    Step 1: gradient of line (3,4)&(1,3) = (4-3)/(3-1)=1/2
    gradient of line (1,3)&(4,-3) = (3-(-3))/(1-4)=-2
    These two lines are perpendicular to each other.
    Step 2: Gradient of (a,b)&(4,-3) line is
    =(b+3)/(a-4)
    This one times (-2)=-1
    OR The gradient is parallel to the 1st line in step 1.
    i.e. equal to 1/2
    Step 3: (3,4)&(a,b) line and (a,b)&(4,-3) line:
    (4-b)/(3-a) x (b+3)/(a-4) = -1
    solve two equations in step2 & step3.

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