某个方程的Y轴截距,表示方程曲线与Y轴相交的点到原点的距离。有很多方式可以找出等式的y轴截距,根据方程不同,方法也不同。
步骤
方法 1 的 2:
通过代数方法
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1
用0替换x。曲线和y轴相交的地方,x值是零。因此用0代替x,即可找出y轴截距。
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{"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/5\/5a\/Find-the-Y-Intercept-Step-2.jpg\/v4-460px-Find-the-Y-Intercept-Step-2.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/5\/5a\/Find-the-Y-Intercept-Step-2.jpg\/v4-728px-Find-the-Y-Intercept-Step-2.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"}
2
解方程,找出截距。如:
- 问:找出下列方程曲线的y轴截距: x+4y=16
- 曲线和y轴相交的地方,横坐标为0。因此我们代入x=0。
- (0) + 4y = 16 继续解,得 4y = 16
- 两边同除以4,得到y=4 。因为在原点上方(否则就要取绝对值),4就是这个曲线的y轴截距。
方法 2 的 2:
通过图像方法
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{"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/d\/d6\/Find-the-Y-Intercept-Step-3.jpg\/v4-460px-Find-the-Y-Intercept-Step-3.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/d\/d6\/Find-the-Y-Intercept-Step-3.jpg\/v4-728px-Find-the-Y-Intercept-Step-3.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"}
1
画出某个等式的曲线图。
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{"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/9\/9d\/Find-the-Y-Intercept-Step-4.jpg\/v4-460px-Find-the-Y-Intercept-Step-4.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/9\/9d\/Find-the-Y-Intercept-Step-4.jpg\/v4-728px-Find-the-Y-Intercept-Step-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"}
2
找出和y轴相交的点。
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{"smallUrl":"https:\/\/www.zenmeban.com\/images_en\/thumb\/a\/ac\/Find-the-Y-Intercept-Step-5.jpg\/v4-460px-Find-the-Y-Intercept-Step-5.jpg","bigUrl":"https:\/\/www.zenmeban.com\/images\/thumb\/a\/ac\/Find-the-Y-Intercept-Step-5.jpg\/v4-728px-Find-the-Y-Intercept-Step-5.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"<div class=\"mw-parser-output\"><\/div>"}
3
这个点纵坐标的绝对值,就是y轴截距啦。
小提示