Math solver (MathSolver
) structured data
To help students, teachers, and others with math problems, you can use structured data to indicate the type of math problems and links to step-by-step walkthroughs for specific math problems. Here's an example of how math solvers may look in Google Search results (the appearance is subject to change):
如何添加结构化数据
结构化数据是一种提供网页相关信息并对网页内容进行分类的标准化格式。如果您不熟悉结构化数据,可以详细了解结构化数据的运作方式。
下面概述了如何构建、测试和发布结构化数据。如需获得向网页添加结构化数据的分步指南,请查看结构化数据 Codelab。
- 添加必要属性。根据您使用的格式,了解在网页上的什么位置插入结构化数据。
- 遵循指南。
- 使用富媒体搜索结果测试验证您的代码,并修复所有严重错误。此外,您还可以考虑修正该工具中可能会标记的任何非严重问题,因为这些这样有助于提升结构化数据的质量(不过,要使内容能够显示为富媒体搜索结果,并非必须这么做)。
- 部署一些包含您的结构化数据的网页,然后使用网址检查工具测试 Google 看到的网页样貌。请确保您的网页可供 Google 访问,不会因 robots.txt 文件、
noindex
标记或登录要求而被屏蔽。如果网页看起来没有问题,您可以请求 Google 重新抓取您的网址。 - 为了让 Google 随时了解日后发生的更改,我们建议您提交站点地图。Search Console Sitemap API 可以帮助您自动执行此操作。
Examples
One solver action
Here's an example of a math solver home page that has one solver action that can solve polynomial equations and derivative problems and is available in English and Spanish.
<html> <head> <title>An awesome math solver</title> </head> <body> <script type="application/ld+json"> [ { "@context": "https://schema.org", "@type": ["MathSolver", "LearningResource"], "name": "An awesome math solver", "url": "https://www.mathdomain.com/", "usageInfo": "https://www.mathdomain.com/privacy", "inLanguage": "en", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://mathdomain.com/solve?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": ["Polynomial Equation","Derivative"] }], "learningResourceType": "Math solver" }, { "@context": "https://schema.org", "@type": ["MathSolver", "LearningResource"], "name": "Un solucionador de matemáticas increíble", "url": "https://es.mathdomain.com/", "usageInfo": "https://es.mathdomain.com/privacy", "inLanguage": "es", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://es.mathdomain.com/solve?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": ["Polynomial Equation","Derivative"] }], "learningResourceType": "Math solver" } ] </script> </body> </html>
Two solver actions
Here's an example of a math solver home page that has two solver endpoints: one endpoint can solve polynomial equations and the other endpoint can solve trigonometric equations. It is available only in English.
<html> <head> <title>An awesome math solver</title> </head> <body> <script type="application/ld+json"> { "@context": "https://schema.org", "@type": ["MathSolver", "LearningResource"], "name": "An awesome math solver", "url": "https://www.mathdomain.com/", "usageInfo": "https://www.mathdomain.com/privacy", "inLanguage": "en", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://mathdomain.com/solve?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": "Polynomial Equation" }, { "@type": "SolveMathAction", "target": "https://mathdomain.com/trig?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": "Trigonometric Equation" }], "learningResourceType": "Math solver" } </script> </body> </html>
Guidelines
For your page to be eligible for math solver rich results, you must follow these guidelines:
Technical Guidelines
- Add
MathSolver
structured data to the home page of your site. - Ensure that Googlebot can crawl your site efficiently.
- If you have several identical copies of the same math solver hosted under different URLs, use the canonical URLs on each copy of the page.
- We don't allow math solvers that are entirely hidden behind a login or paywall. Once users navigate from the feature on Google to your site, the solution and a step-by-step walkthrough for their initial problem must be accessible to them. Additional content can be behind a login or paywall.
Content guidelines
We created these Math Solver content guidelines to ensure that our users are connected with learning resources that are relevant. If we find content that violates these policies, we'll respond appropriately, which may include taking manual action and removing your pages from appearing in the math solver experience on Google.
- We don't allow promotional content disguised as a math solver, such as those posted by a third party (for example, affiliate programs).
-
You are responsible for the accuracy and quality of your math solver through this
feature. If a certain amount of your data is found to be inaccurate based on our quality
review processes, then your solver may be removed from the feature until you resolve the
issues depending on the severity. This applies to:
- The accuracy of the problem types your solver is capable of solving.
- The accuracy of your solutions for math problems your solver declares it can solve.
Structured data type definitions
You must include the required properties for your content to be eligible for display as a rich result. You can also include the recommended properties to add more information to your structured data, which could provide a better user experience.
MathSolver
A MathSolver
is a tool that assists students, teachers, and others
with math problems by laying out step-by-step solutions. Use MathSolver
structured data on your site's home page.
The full definition of MathSolver
is available at
schema.org/MathSolver.
The Google-supported properties are the following:
Required properties | |
---|---|
potentialAction |
The action that leads to a mathematical explanation (for example, step-by-step solution or graph) of a math expression. { "@type": "MathSolver", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://mathdomain.com/solve?q={math_expression_string}", "mathExpression-input": "required name=math_expression_string", "eduQuestionType": "Polynomial Equation" }] } |
potentialAction.mathExpression-input |
A placeholder for a mathematical expression (for example: x^2-3x=0) that is sent by Google to your website. You can then "solve" the math expression, which may involve simplifying, transforming, or solving for a specific variable. The string can take many formats (for example: LaTeX, Ascii-Math, or mathematical expressions that you can write with a keyboard). For some problem types, the Derivatives Google will send a
Examples:
Integrals Google will send a
Examples:
Limits Google will send a
Examples:
|
url |
The URL of the |
usageInfo |
The privacy policy for your math problem solving site. { "@type": "MathSolver", "usageInfo": "https://www.mathdomain.com/privacy" } |
potentialAction.target |
The URL target entrypoint for an action. The { "@type": "MathSolver", "potentialAction": [{ "@type": "SolveMathAction", "target": "https://mathdomain.com/solve?q={math_expression_string}" }] } |
Recommended properties | |
---|---|
inLanguage |
The language(s) that are supported by your math problem solving site. See this table for a list of possible languages. { "@type": "MathSolver", "inLanguage": "es" } |
assesses |
The problem type(s) that are solved with the { "@type": "MathSolver", "assesses": "Polynomial Equation" } |
potentialAction.eduQuestionType |
The problem type(s) that are capable of being solved by the { "@type": "SolveMathAction", "eduQuestionType": "Polynomial Equation" } |
LearningResource
A LearningResource
indicates that the subject of the markup is a
resource that assists students, teachers, and others with educational learning. Use
LearningResource
on your site's home page.
The full definition of LearningResource
is available at
schema.org/LearningResource.
The Google-supported properties are the following:
Required properties | |
---|---|
learningResourceType |
The type of this learning resource. Use this fixed value: { "@type": ["MathSolver", "LearningResource"], "learningResourceType": "Math Solver" } |
Problem Type Definitions
Use the following list of problem types as either the eduQuestionType
for a
MathSolver.potentialAction
or for the assesses
field of a
MathSolver
when the MathSolver
is accompanying a HowTo
that walks through a specific math problem.
The following table shows some examples for the problem types you can annotate:
Example problem types (this isn't an exhaustive list) | |
---|---|
Absolute Value Equation |
Absolute value equations. For example: |x - 5| = 9 |
Algebra |
A generic problem type that can be placed with other problem type. For example: polynomial equations, exponential equations, and radical expressions. |
Arc Length |
Arc length problems. For example: Determine the length of x = 4 (3 + y)^2, 1 < y < 4. |
Arithmetic |
Arithmetic problems. For example: Find the sum of 5 + 7. |
Biquadratic Equation |
Biquadratic equations. For example: x^4 - x^2 - 2 = 0. |
Calculus |
A generic problem type that can be placed with other problem types. For example: integrals, derivatives, and differential equations. |
Characteristic Polynomial |
Find the characteristic polynomial of {{1,2,5}, {3,-1,1}, {1,2,3}}. |
Circle |
Circle related problems. For example: Find the radius of x^2 + y^2 = 3. |
Derivative |
Derivative of 5x^4 + 2x^3 + 4x - 2. |
Differential Equation |
Differential equation problems. For example: y+dy/dx=5x. |
Distance |
Distance problems. For example: Find the distance between (6,-1) and (-3,2). |
Eigenvalue |
Eigenvalue problems. For example: Find the eigenvalues for the matrix [[-6, 3], [4, 5]]. |
Eigenvector |
Eigenvector problems. For example: Find the eigenvector for the matrix [[-6, 3], [4, 5]] with eigenvalues of [-7, 6]. |
Ellipse |
Ellipse problems. For example: Find the x and y intercepts of 9x^2 + 4y^2 = 36. |
Exponential Equation |
Exponential equations. For example: 7^x = 9. |
Function |
Polynomial simplifications. For example: (x-5)^2 * (x+5)^2. |
Function Composition |
f(g(x)) when f(x)=x^2-2x, g(x)=2x-2 |
Geometry |
A generic problem type that can be placed with other problem types. For example: circle, ellipse, parabola, slope. |
Hyperbola |
Hyperbola problems. For example: Find the x-intercept of (x^2)/4 - (y^2)/5 = 1. |
Inflection Point |
Find the inflection point of f(x) = 1/2x^4 +x^3 - 6x^2. |
Integral |
Integral of sqrt (x^2 - y^2). |
Intercept |
Line intercept problems. For example: Find the x-intercept of the line y = 10x - 5. |
Limit |
Limit problems. For example: Find the limit of x as x approaches 1 for (x^2-1)/(x-1). |
Line Equation |
Line equation problems. For example: Find the equation of a line with points (-7,-4) and (-2,-6). |
Linear Algebra |
A generic problem type that can be placed with other problem types. For example: matrix and characteristic polynomial. |
Linear Equation |
Linear equations. For example: 4x - 3 = 2x + 9. |
Linear Inequality |
Linear inequalities. For example: 5x - 6 > 3x - 8. |
Logarithmic Equation |
Logarithmic equations. For example: log(x) = log(100). |
Logarithmic Inequality |
Logarithmic inequalities. For example: log(x) > log(100). |
Matrix |
{{1,2,5}, {3,-1,1}, {1,2,3}} row reduce |
Midpoint |
Midpoint problems. For example: find the midpoint between (-3, 7) and (5, -2). |
Parabola |
Parabola problems. For example: Find the vertex of y2 - 4x - 4y = 0. |
Parallel |
Parallel line problems. For example: Are the two lines parallel (y = 10x + 5, y = 20x + 10)? |
Perpendicular |
Perpendicular problems. For example: Are the two lines perpendicular (y = 10x + 5, y = 20x + 10)? |
Polynomial Equation |
Polynomial equations. For example: x^5 - 3x = 0. |
Polynomial Expression |
Polynomial expressions. For example: (x - 5)^4 * (x + 5)^2. |
Polynomial Inequality |
Polynomial inequalities. For example: x^4 - x^2 - 6 > x^3 - 3x^2. |
Quadratic Equation |
Quadratic equations. For example: x^2 - 3x - 4 = 0. |
Quadratic Expression |
Quadratic expressions. For example: x^2 - 3x - 2. |
Quadratic Inequality |
Quadratic inequalities. For example: x^2 - x - 6 > x^2 - 3x. |
Radical Equation |
Radical equations. For example: sqrt(x) - x = 0. |
Radical Inequality |
Radical inequalities. For example: sqrt(x) - x > 0. |
Rational Equation |
Rational equations. For example: 5/(x - 3) = 2/(x - 1). |
Rational Expression |
Rational expressions. For example: 1/(x^3 + 4x^2 + 5x + 2). |
Rational Inequality |
Rational inequalities. For example: 5/(x - 3) > 2/(x - 1). |
Slope |
Slope problems. For example: Find the slope of y = 10x + 5. |
Statistics |
Statistics problems. For example: Find the mean of a set of numbers (3, 8, 2, 10). |
System of Equations |
System of equations problems. For example: Solve 2x + 5y = 16;3x - 5y = - 1. |
Trigonometry |
Solve sin(t) + cos(t) = 1. |