TutorMe By U.K

TutorMe By U.K - Mathspace Helper

Free mathematics learning companion for Mathspace
目前为 2025-02-15 提交的版本。查看最新版本。
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// ==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)
})();
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