寒假对于小六学生和家长的意义和价值毋庸置疑。小升初不仅是对学生的考验，对家长也是一次极大的挑战。建议家长密切关注相关的信息。

The significance and value of winter vacation for the sixth graders and their parents is beyond doubt. Junior high school is not only a test for students, but also a great challenge for parents. Parents are advised to keep an eye on relevant information.

从考试内容来讲，各校小升初招生考试基本上涉及计算、计数、数论、行程、工程、应用题等专题。现在到明年小升初结束还有寒假和春季两个阶段，如何在短时间内，做好学习规划实现综合实力大的提高呢？我们可以从以下几个方面入手：

In terms of examination content, the entrance examinations for primary and junior high school students basically involve such topics as calculation, counting, number theory, itinerary, engineering, and application questions. Now to the beginning of next year, there are two stages, winter vacation and spring, how to do a good job of learning planning in a short period of time to achieve great improvement in overall strength? We can start from the following aspects:

首先要保证各专题的知识点和考点耳熟能详，也就是知识体系一定要完整。

First of all, we must ensure that the knowledge points and test points of each topic are familiar, that is, the knowledge system must be complete.

例如：数论中就包括了数的整除、质数合数、约数倍数、余数同余和数位进制五个章节，数的整除又分为四个不同的知识点。章节不熟悉，知识点和考点有缺陷，本来很简单的问题就因为接触少而丢分会是很遗憾的事情。

For example, in number theory, there are five chapters: dividing numbers, prime numbers, multiples, remainder congruence and digit system. The dividing of numbers is divided into four different knowledge points. Chapters are not familiar with, knowledge points and test points are defective, it is a pity that the original very simple problem because of less contact and lost the branch.

举个例子：1234**789能被99整除，星号所代表的数是多少？

For example: 1234**789 can be divisible by 99. What is the number of asterisk?

这道题可以利用常规的知识点：被9和11整除的书的性质做出来，当然如果能知道能被99整除的数的性质是从个位开始截两位相加能被99整除，这道题会变的非常容易。同时，对知识点和考点比较熟悉能为难题找到关键的突破口。

This problem can be solved by using the usual knowledge: the nature of the book divisible by 9 and 11. Of course, it would be very easy to know that the number divisible by 99 is a number that can be truncated by two digits and divisible by 99 from a single digit. At the same time, familiarity with knowledge points and test sites can help us find a key breakthrough.

又比如：1×3×5×…×2005×2007的末三位是多少？

For example, 1 x 3 x 5 x... What is the last three position of * 2005 * 2007?

这道题题目难度较大，用找规律是没有办法做出来的，题中有一个关键词是末三位，我们可以搜索一下知识体系，出现末三位的知识点只有能被8或125整除的数的性质，末三位能被8或125整除这个数就能被8或125整除，这样将就能将难题和相关的知识点关联起来，找到解题的思路。最后，知识体系不完整也是很多同学发挥不稳定最主要的因素。

There is a key word in the question is the last three, we can search the knowledge system, the last three knowledge points can only be 8 or 125 divisible by the nature of the number, the last three can be 8 or 125 divisible by the number can be 8 or 125 divisible, so that will be able to divide. Link problems and related knowledge points and find solutions to problems. Finally, the incomplete knowledge system is the most important factor for many students to play an unstable role.

其次要熟悉各专题常见的题型，尤其是一些经典题型的解题思路和变化。这些常见的题型基本上每本奥数书上都能够见到，一般考试题里面都会有一些试题是根据这些基本题型改编的。

Secondly, we should be familiar with the common themes, especially some classical problem-solving ideas and changes. These common questions can be seen in almost every Olympian math book. Generally speaking, there are some questions adapted according to these basic questions.

例如：我们在讲比和比例在行程问题中的应用时有一道非常经典的题：甲乙两班学生到离校24千米的飞机场参观，但只有一辆汽车，一次只能乘坐一个班的同学。为了尽快到达飞机场，让甲班先坐车，乙班先步行，同时出发，甲班在途中某地下车后步行去机场，而汽车立即返回接乙班去机场。如果甲乙两班步行的速度相同，而汽车速度是他们速度的7倍，那么汽车应在距飞机场多远的地方返回接乙班的同学？

For example, when we talk about the application of ratio and proportion in the travel problem, we have a very classic problem: Class A and Class B students to visit the airport 24 kilometers away from school, but only one car, only one class at a time. In order to get to the airport as soon as possible, let Class A take a bus first, Class B walk first, while departing, Class A on the way to the airport on foot after an underground bus, and the car immediately returned to take over to the airport. If Class A and Class B walk at the same speed, and the speed of the car is seven times their speed, then how far away from the airport should the car return to Class B students?

这道题的解法非常好的将画线段图和比例结合到一起，行程问题里面都会讲到。有一年东城区二中的一道考题基本就是根据这道题改编：甲班与乙班同时从学校出发去距离学校75千米的军营去军训，甲班学生步行速度为每小时4千米，乙班学生步行速度为每小时5千米，学校有一辆汽车，空车速度为每小时40千米，载人后速度为每小时20千米，且只能载一个班的学生，现在要求两个班的学生用最短的时间同时到达军营，那么最短时间是多少？相对于原来的题本道题的变化在于甲乙两班速度不同，空车和满车速度也不同，做题的思路和方法与原来的题基本相同，分析过程稍微复杂一点。要想通过这道题得分，最重要就是要对前一道题的解题技巧、思路和变化了解的非常清楚。

The solution to this problem is a very good combination of line drawing and scale, which will be covered in the itinerary problem. One year, one of the questions in No. 2 Middle School in Dongcheng District was basically adapted according to this question: Class A and Class B both set out from the school to go to military training 75 kilometers from the school camp, Class A students walking speed of 4 kilometers per hour, Class B students walking speed of 5 kilometers per hour, the school has a car, empty car speed of 40 kilometers per hour. Kilometers, 20 kilometers per hour after the manned speed, and can only carry one class of students, now requires two classes of students in the shortest time to arrive at the Barracks at the same time, then what is the shortest time? Compared with the original problem, the change of this problem lies in the different speeds of Class A and Class B, empty cars and full cars. The ideas and methods of doing the problem are basically the same as the original problem, and the analysis process is slightly more complicated. If you want to score through this problem, the most important thing is to have a very clear understanding of the skills, ideas and changes of the previous problem.

要完成上面两点每个专题都要通过大量的练习来巩固知识点和解题技巧的运用，来提高速度和准确度。可以做模拟试题或目标学校的考试真题，通过做这些综合测试题发现薄弱的专题，进行最后的查漏补缺。任何综合题目无非都是以学生比较熟悉常见题型为基础构成的。专题不熟练，题目难度很难上去。

To accomplish the above two points, each project needs a lot of practice to consolidate the use of knowledge and problem solving skills, to improve speed and accuracy. Can do a simulation test or the true test of the target school, through these comprehensive test questions found weak topics, the final missing fill. Any comprehensive topic is based on students familiar with common questions. The topic is unskillful, and the difficulty of the topic is very difficult.

这里建议家长要注意综合题的数量，之所以要目标学校考试真题来做，是因为现在在冲刺阶段，熟悉各学校的出题思路，提高学生解决综合题的能力，这方面寒暑假的一些数学课程会帮助孩子做好归纳总结，熟悉各校、各类题型。

Parents are advised to pay attention to the number of comprehensive questions. The reason why they want to do the real test questions in the target school is that they are familiar with the ideas of each school and improve the students'ability to solve the comprehensive questions. Some math courses in winter and summer vacation will help the children sum up and be familiar with all kinds of school and problems. Type.

总之，最后这个阶段要保证每天都有时间去做一定量的练习，一方面继续积累实力，另一方面时刻保持状态，争取考试时，在最好的状态下发挥最好的实力。

In short, the final stage to ensure that every day there is time to do a certain amount of practice, on the one hand to continue to accumulate strength, on the other hand, always maintain the state, strive for examination, in the best state to play the best strength.