Free mathematics learning companion for Mathspace
当前为
// ==UserScript==
// @name TutorMe By U.K - Mathspace Helper
// @namespace http://tampermonkey.net/
// @version 1.0
// @description Free mathematics learning companion for Mathspace
// @author U.K
// @match https://*.mathspace.co/*
// @grant none
// ==/UserScript==
(function() {
'use strict';
// ... keep existing code (styles and UI setup until calculator handling)
// Handle calculator with proper exponent calculation
calcButton.addEventListener('click', () => {
try {
let expression = calcInput.value;
// Handle exponents (^) before evaluation
if (expression.includes('^')) {
expression = expression.replace(/(\d+)\s*\^\s*(\d+)/g, (match, base, exponent) => {
return Math.pow(parseFloat(base), parseFloat(exponent));
});
}
const result = new Function('return ' + expression)();
calcResult.textContent = `Result: ${result}`;
} catch (error) {
calcResult.textContent = 'Error: Invalid expression';
}
});
// Enhanced problem analysis function
function analyzeMathProblem(question) {
// Identify problem type
const problemTypes = {
algebraic: /[xy]\s*=|solve|equation|expression/i,
geometric: /area|perimeter|volume|triangle|circle|square/i,
arithmetic: /add|subtract|multiply|divide|\+|\-|\*|\/|\^/i,
calculus: /derivative|integral|limit|differentiate|integrate/i
};
let problemType = 'general';
for (const [type, pattern] of Object.entries(problemTypes)) {
if (pattern.test(question)) {
problemType = type;
break;
}
}
// Generate detailed solution steps based on problem type
let steps = [];
switch (problemType) {
case 'algebraic':
steps = [
"Step 1: Identify the variables and their relationships",
"Step 2: Isolate the variable on one side of the equation",
"Step 3: Simplify both sides",
"Step 4: Solve for the variable",
"Step 5: Verify the solution"
];
break;
case 'geometric':
steps = [
"Step 1: Identify the geometric shapes involved",
"Step 2: List relevant formulas",
"Step 3: Identify given measurements",
"Step 4: Apply appropriate formulas",
"Step 5: Calculate the final answer"
];
break;
case 'arithmetic':
steps = [
"Step 1: Order of operations (PEMDAS)",
"Step 2: Simplify expressions within parentheses",
"Step 3: Calculate exponents (powers)",
"Step 4: Perform multiplication and division (left to right)",
"Step 5: Perform addition and subtraction (left to right)"
];
break;
case 'calculus':
steps = [
"Step 1: Identify the calculus concept involved",
"Step 2: Write out relevant formulas/rules",
"Step 3: Apply differentiation/integration rules",
"Step 4: Simplify the expression",
"Step 5: Check the solution"
];
break;
default:
steps = [
"Step 1: Read and understand the problem carefully",
"Step 2: Identify key information and unknowns",
"Step 3: Choose appropriate mathematical methods",
"Step 4: Solve step by step",
"Step 5: Verify the answer makes sense"
];
}
return {
type: problemType,
steps: steps,
explanation: `This is a ${problemType} problem. Let's solve it step by step:\n\n` +
steps.join('\n\n') + '\n\nApplying these steps to your specific problem...'
};
}
// Update the click handler for the analyze button
analyzeBtn.addEventListener('click', async () => {
const question = questionText.textContent;
if (question === 'Waiting for question...') return;
analyzeBtn.textContent = 'Analyzing...';
analyzeBtn.disabled = true;
try {
const analysis = analyzeMathProblem(question);
solutionDiv.style.display = 'block';
solutionDiv.textContent = analysis.explanation;
} catch (error) {
solutionDiv.textContent = "Error analyzing question. Please try again.";
} finally {
analyzeBtn.textContent = 'Analyze Question';
analyzeBtn.disabled = false;
}
});
// ... keep existing code (rest of the event handlers and observer)
})();