# 究極の立体＜切断＞

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● The first in a series of definitive middle school entrance exam preparations created by a team of educational app developers with 1 million users!
● Analyzed 10 years of past questions from famous schools and carefully selected 100 questions!
● Master the frequently appearing field of junior high school entrance exams, ``three-dimensional cutting''!

◆What kind of teaching material is the ultimate three-dimensional ?

This is a teaching material app that contains 100 problems on ``3D cutting'', a field that frequently appears in junior high school entrance exam mathematics, and allows you to freely rotate and cut the reproduced 3D objects while learning.
By condensing the know-how on application teaching materials of Hanamaru Lab, which develops the thinking ability development app ``Think Think'' with 1 million users, and the knowledge of junior high school entrance exam guidance from the famous cram school ``Hanamaru Gakushukai'', we have developed a three-dimensional cutting method. Cultivate the ability to ``imagine the way you look at a problem.''
This book contains 100 questions that cover all patterns, based on an analysis of actual three-dimensional cutting questions that were asked in junior high school entrance math exams over the past 10 years.

◆Why is 3D cutting important?
- Frequently appearing fields in junior high school entrance exams. Accurate cross-sectional drawing is essential!
Three-dimensional cutting is a frequently occurring and important area in mathematics for junior high school entrance exams. The questions are often asked as large questions, and if you are unable to draw the cut plane accurately, there are many cases where you will fail all the questions. Being able to accurately imagine and draw a cross-sectional diagram is a major prerequisite for tackling a problem.

- It's hard to learn on a blackboard or on paper!
Three-dimensional cutting has been said to be difficult to deal with because it requires advanced spatial awareness and image manipulation ability. No matter how much you study on a flat surface such as a blackboard or paper, even if you think you understand it at the time, there are many cases where if the angle changes a little or the cutting point changes, you won't understand it at all. Many families have tried cutting vegetables and sponges at home through trial and error, but this method was difficult to reproduce complex shapes and cut surfaces, and was not suitable for repeated learning.

- If you master it, it will be a big advantage!
Despite being an important field, many examinees struggle with it, but if you master it, you will have a huge advantage. ``Ultimate 3D Cutting'' achieves the following three points: 1) move and cut the 3D object yourself, 2) study carefully selected frequently asked junior high school entrance exam questions, and 3) repeatedly study the three principles. This is the only app that allows you to specialize in 3D cutting using a completely different approach from previous learning.

◆Three principles of three-dimensional cutting

1. "Same plane": "If there are two points on the same plane, the cut will always pass along the straight line connecting the two points. Therefore, points on the same plane can be connected.

2. "Parallel": If the surfaces are parallel, the lines of the cut on each surface will always be parallel. Therefore, if a line has already been drawn on plane B that is parallel to plane A, you can draw a straight line on plane A that passes through the point and is parallel to the line on plane B.

3. "Extend": By extending the cut line and the sides of the solid, you can find a point outside the solid where the cut passes through the intersection. You can draw a line from the found point using 1. ``coplanar'' and 2. ``parallel.''

◆Purpose of this teaching material
Japanese junior high school entrance exam math is full of interesting and wonderful questions that test your pure thinking and imagination skills.
We believe that the act of confronting and unraveling these problems should be an intellectually exciting and exciting experience.
On the other hand, it is true that because of the high level of thinking and imagination skills required, the results of traditional learning on paper or blackboards tended to be attributed to ``innate sense.''
We hope that mathematics for junior high school entrance exams will become an intellectually dynamic learning experience that everyone can engage in with excitement.We will begin by focusing on ``three-dimensional cutting,'' which is a frequently encountered subject and one that many children have difficulty with. I made it a theme.
Because it is an app, you can reproduce the 3D object as if you were holding it in your hand. As you have fun learning while rotating and cutting perfectly reproduced solids, you will be able to visualize any cutting surface, reproduce, rotate, and cut the solid in your head without relying on technique or memorization. To go.
We believe that being able to turn a weak point into a strong point will give children a solid sense of confidence, and that the spatial awareness skills that they develop will become a great asset, beyond just studying, even after taking the entrance exam.

◆How to use
・Select the problem you want to play from the problem selection screen.
- By pressing each of the three buttons (3 principles of 3D cutting) at the bottom right of the play screen and tapping on the surface you want to draw a line, you can only draw a line if the answer is correct.
- Once you have drawn all the lines that make up the cut, the play results will be displayed.
・Every time you finish solving one question, you will be able to play the next one.

https://cubecut.ultimate-math.com/pdf/terms_of_service_exp.pdf

https://cubecut.ultimate-math.com/privacy_policy.html
Updated on
Jul 18, 2024

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