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21个能解释数学概念的GIF图片

弧度,成长吧啊,www.czbaa.com,数学

图片来源: Lucas V. Barbosa via Wikimedia Commons

“Let's face it; by and large math is not easy, but that's what makes it so rewarding when you conquer a problem, and reach new heights of understanding.”

Danica McKellar

As we usher in the start of a new school year, it’s time to hit the ground running in your classes! Math can be pretty tough, but since it is the language in which scientists interpret the Universe, there’s really no getting around learning it. Check out these gifs that will help you visualize some tricky aspects of math, so you can dominate your exams this year.

又是一个让人晕倒的新学期的开始, 数学依旧是一门棘手的课程, 但它是科学家用来解释世界的语言, 真的没办法绕开它. 下面的一些gif图片帮助你理解一些数学的概念, 祝新学期考试顺利.

椭圆 (Ellipse):

Via: giphy

帕斯卡三角(杨辉三角) Solving Pascal triangles:

Via: Hersfold via Wikimedia Commons

多项式乘法 Use FOIL to easily multiply binomials:

Via: mathcaptain

解决对数 Here’s how you solve logarithms:

Via: imgur

矩阵变换小伎俩 Use this trick so you don’t get mixed up when doing matrix transpositions:

Via: Wikimedia Commons

勾股定理就这么简单 What the Pythagorean Theorem is really trying to show you:

Via: giphy

多边形外角和360° Exterior angles of polygons will ALWAYS add up to 360 degrees:

Via: math.stackexchange

`\pi`就是直径是1的圆的一周长度 If you’re studying trig, you better get pretty comfortable with circles. Check out this visualization that shows what you’re really looking at when you deal with pi:

Via: imgur 

圆周长度等于半径所对圆心角是一弧度 If an arc of a circle is the same length as its radius, the resulting angle is one radian:

Via: Wikimedia Commons

Visualizing sine (red) on the Y axis and cosine (blue) on the X axis. The relative position of the circle is shown in black:

可视化正弦波(红色)在Y轴上和余弦(蓝色)X轴上.黑色的圆圈所示的相对位置:

Via: imgur

更直观的正弦波和余弦波 This shows the same thing, but a bit more simply:

Via: reddit

正弦和余弦的三角关系 Here’s how sine and cosine apply to triangles:

Via: imgur

cos是sin的导数 Cosine is the derivative of sine:



Via: reddit

正切函数线  Tangent lines:

Via: John Reid  via Wikimedia Commons

躺下来更有意思 Flipped on its side, the shape begins to make more sense:

Via: imgur

直角坐标系转换到极坐标系 Converting a function from Cartesian to Polar coordinates:

Via: Wikimedia Commons

画抛物线 Drawing a parabola:

Via: giphy

黎曼求和近似曲线下面积: The Riemann sum is the approximate area under a curve:

Via: giphy

双曲线 Hyperbola:

Via: giphy

这完全是直线拼成的一个3D图, 信不信由你, 反正我信了 Translating that into 3D, you get a hyperboloid. Believe it or not, it’s made with completely straight lines:

Via: tumblr

这斯甚至可以这样用 Seriously. You can even make it do this:

Via: tumblr

BONUS: If you need help remembering the quadratic formula, sing it to the tune of “Pop Goes The Weasel” and you will remember it for the rest of your life. “X equals opposite B, plus or minus the square root of B squared minus 4AC, all over 2A.”

来源:http://www.iflscience.com/brain/math-gifs-will-help-you-understand-these-concepts-better-your-teacher-ever-did