'exam_001', * 'student_id' => 'student_001', * 'questions' => [ * [ * 'question_id' => 'Q1', * 'score' => 5, * 'score_obtained' => 5, * 'steps' => [ * ['step_index' => 1, 'is_correct' => true, 'kp_id' => 'K-SQRT-SIMPLE'], * ['step_index' => 2, 'is_correct' => true, 'kp_id' => 'K-NUM-ADD-SUB'] * ] * ] * ] * ] * * @return array 分析结果 */ public function analyzeExamAnswers(array $examData): array { Log::info('开始分析考试答题', [ 'exam_id' => $examData['exam_id'] ?? 'unknown', 'student_id' => $examData['student_id'] ?? 'unknown', 'question_count' => count($examData['questions'] ?? []) ]); $studentId = $examData['student_id']; $questions = $examData['questions'] ?? []; // 1. 保存答题记录到数据库 $this->saveExamAnswerRecords($examData); // 2. 获取题目知识点映射 $questionMappings = $this->getQuestionKnowledgeMappings($questions); // 3. 计算每个知识点的加权掌握度 $knowledgeMasteryVector = $this->calculateKnowledgeMasteryVector($questions, $questionMappings); // 4. 更新学生掌握度 $updatedMastery = $this->updateStudentMastery($studentId, $knowledgeMasteryVector); // 5. 生成题目维度分析 $questionAnalysis = $this->analyzeQuestions($questions, $questionMappings); // 6. 生成知识点维度分析 $knowledgePointAnalysis = $this->analyzeKnowledgePoints($knowledgeMasteryVector, $questionMappings); // 7. 生成整体掌握度总结 $overallSummary = $this->generateOverallSummary($updatedMastery); // 8. 生成智能出卷推荐依据 $smartQuizRecommendation = $this->generateSmartQuizRecommendation($updatedMastery); // 9. 保存分析结果 $analysisResult = [ 'exam_id' => $examData['exam_id'], 'student_id' => $studentId, 'timestamp' => now()->toISOString(), 'question_analysis' => $questionAnalysis, 'knowledge_point_analysis' => $knowledgePointAnalysis, 'overall_summary' => $overallSummary, 'smart_quiz_recommendation' => $smartQuizRecommendation, 'mastery_vector' => $updatedMastery, ]; $this->saveAnalysisResult($studentId, $examData['exam_id'], $analysisResult); Log::info('考试答题分析完成', [ 'student_id' => $studentId, 'exam_id' => $examData['exam_id'], 'analyzed_knowledge_points' => count($knowledgeMasteryVector) ]); return $analysisResult; } /** * 获取题目知识点映射 */ private function getQuestionKnowledgeMappings(array $questions): array { $mappings = []; $questionIds = array_column($questions, 'question_id'); // 从题库获取题目知识点映射 try { $response = $this->questionBankService->getQuestionsKnowledgeMapping($questionIds); foreach ($response as $mapping) { $mappings[$mapping['question_id']] = $mapping; } } catch (\Exception $e) { Log::warning('获取题目知识点映射失败,使用默认映射', [ 'error' => $e->getMessage(), 'question_ids' => $questionIds ]); // 使用默认映射:每道题至少映射到一个知识点 foreach ($questions as $question) { $mappings[$question['question_id']] = [ 'question_id' => $question['question_id'], 'kp_mapping' => [ ['kp_id' => 'K-GENERAL', 'kp_name' => '综合', 'weight' => 1.0] ] ]; } } return $mappings; } /** * 计算知识点掌握度向量 * 基于文档中的简单实用更新公式 */ private function calculateKnowledgeMasteryVector(array $questions, array $questionMappings): array { $knowledgeScores = []; foreach ($questions as $question) { $questionId = $question['question_id']; $score = floatval($question['score_obtained'] ?? 0); $maxScore = floatval($question['score'] ?? $score); $steps = $question['steps'] ?? []; $mapping = $questionMappings[$questionId] ?? null; if (!$mapping || !isset($mapping['kp_mapping'])) { continue; } // 如果有步骤级分析,使用步骤分析 if (!empty($steps)) { foreach ($steps as $step) { $kpId = $step['kp_id'] ?? 'K-GENERAL'; $stepScore = floatval($step['score'] ?? ($maxScore / count($steps))); $stepWeight = floatval($step['weight'] ?? 1.0); if (!isset($knowledgeScores[$kpId])) { $knowledgeScores[$kpId] = [ 'total_weight' => 0, 'correct_weight' => 0, 'step_details' => [] ]; } $knowledgeScores[$kpId]['total_weight'] += $stepScore * $stepWeight; if ($step['is_correct']) { $knowledgeScores[$kpId]['correct_weight'] += $stepScore * $stepWeight; } $knowledgeScores[$kpId]['step_details'][] = [ 'question_id' => $questionId, 'step_index' => $step['step_index'], 'score' => $stepScore, 'is_correct' => $step['is_correct'] ]; } } else { // 没有步骤级分析,使用题目整体分析 foreach ($mapping['kp_mapping'] as $kpMapping) { $kpId = $kpMapping['kp_id']; $weight = floatval($kpMapping['weight'] ?? 1.0); $kpMaxScore = $maxScore * $weight; if (!isset($knowledgeScores[$kpId])) { $knowledgeScores[$kpId] = [ 'total_weight' => 0, 'correct_weight' => 0, 'step_details' => [] ]; } $knowledgeScores[$kpId]['total_weight'] += $kpMaxScore; if ($score > 0) { $knowledgeScores[$kpId]['correct_weight'] += $score * $weight; } } } } // 计算掌握度 $masteryVector = []; foreach ($knowledgeScores as $kpId => $data) { $mastery = $data['total_weight'] > 0 ? $data['correct_weight'] / $data['total_weight'] : 0; // 置信度校正:考得越多,评价越稳定 $confidence = 1 - exp(-$data['total_weight'] / 5); $masteryVector[$kpId] = [ 'kp_id' => $kpId, 'mastery' => $mastery, 'confidence' => $confidence, 'total_weight' => $data['total_weight'], 'correct_weight' => $data['correct_weight'], 'step_details' => $data['step_details'], ]; } return $masteryVector; } /** * 更新学生掌握度(与历史数据合并) */ private function updateStudentMastery(string $studentId, array $knowledgeMasteryVector): array { $updatedMastery = []; foreach ($knowledgeMasteryVector as $kpId => $data) { // 获取历史掌握度 $historyMastery = DB::connection('pgsql') ->table('student_knowledge_mastery') ->where('student_id', $studentId) ->where('kp_code', $kpId) ->first(); $historyMasteryLevel = $historyMastery->mastery_level ?? 0.5; $historyWeight = $historyMastery->total_attempts ?? 0; $currentWeight = $data['total_weight']; // 合并计算:历史权重 + 当前权重 $newMastery = $historyWeight > 0 ? ($historyWeight * $historyMasteryLevel + $currentWeight * $data['mastery']) / ($historyWeight + $currentWeight) : $data['mastery']; $newConfidence = $data['confidence']; // 保存到数据库 DB::connection('pgsql') ->table('student_knowledge_mastery') ->updateOrInsert( ['student_id' => $studentId, 'kp_code' => $kpId], [ 'mastery_level' => $newMastery, 'confidence_level' => $newConfidence, 'total_attempts' => ($historyMastery->total_attempts ?? 0) + 1, 'correct_attempts' => ($historyMastery->correct_attempts ?? 0) + intval($data['correct_weight'] > 0), 'mastery_trend' => $this->determineMasteryTrend($historyMasteryLevel, $newMastery), 'last_mastery_update' => now(), 'updated_at' => now(), ] ); $updatedMastery[$kpId] = [ 'kp_id' => $kpId, 'current_mastery' => $newMastery, 'previous_mastery' => $historyMasteryLevel, 'confidence' => $newConfidence, 'change' => $newMastery - $historyMasteryLevel, 'weight' => $currentWeight ]; } return $updatedMastery; } /** * 生成题目维度分析 */ private function analyzeQuestions(array $questions, array $questionMappings): array { $analysis = []; foreach ($questions as $question) { $questionId = $question['question_id']; $score = floatval($question['score_obtained'] ?? 0); $maxScore = floatval($question['score'] ?? $score); $steps = $question['steps'] ?? []; $mapping = $questionMappings[$questionId] ?? ['kp_mapping' => []]; // 步骤分析 $stepAnalysis = []; if (!empty($steps)) { foreach ($steps as $step) { $kpId = $step['kp_id'] ?? 'K-GENERAL'; $stepAnalysis[] = [ 'step_index' => $step['step_index'], 'is_correct' => $step['is_correct'], 'kp_id' => $kpId, 'description' => $step['description'] ?? '' ]; } } // 知识点关联 $knowledgePoints = array_map(function($kp) { return [ 'kp_id' => $kp['kp_id'], 'kp_name' => $kp['kp_name'] ?? $kp['kp_id'], 'weight' => $kp['weight'] ?? 1.0 ]; }, $mapping['kp_mapping']); $analysis[] = [ 'question_id' => $questionId, 'score_obtained' => $score, 'max_score' => $maxScore, 'accuracy_rate' => $maxScore > 0 ? $score / $maxScore : 0, 'step_analysis' => $stepAnalysis, 'knowledge_points' => $knowledgePoints, 'performance_summary' => $this->generateQuestionPerformanceSummary($question, $stepAnalysis) ]; } return $analysis; } /** * 生成知识点维度分析 */ private function analyzeKnowledgePoints(array $knowledgeMasteryVector, array $questionMappings): array { $analysis = []; foreach ($knowledgeMasteryVector as $kpId => $data) { $analysis[] = [ 'kp_id' => $kpId, 'mastery_level' => $data['mastery'], 'confidence_level' => $data['confidence'], 'performance_in_exam' => $this->evaluatePerformanceLevel($data['mastery']), 'evidence_count' => count($data['step_details']), 'step_evidence' => $data['step_details'], 'recommendation' => $this->generateKnowledgePointRecommendation($data) ]; } return $analysis; } /** * 生成整体掌握度总结 */ private function generateOverallSummary(array $updatedMastery): array { $knowledgePoints = array_values($updatedMastery); if (empty($knowledgePoints)) { return [ 'total_knowledge_points' => 0, 'average_mastery' => 0, 'mastery_distribution' => [ 'mastered' => 0, 'good' => 0, 'weak' => 0 ], 'top_strengths' => [], 'top_weaknesses' => [] ]; } // 计算平均掌握度 $averageMastery = array_sum(array_column($knowledgePoints, 'current_mastery')) / count($knowledgePoints); // 掌握度分布 $mastered = array_filter($knowledgePoints, fn($kp) => $kp['current_mastery'] >= 0.85); $good = array_filter($knowledgePoints, fn($kp) => $kp['current_mastery'] >= 0.70 && $kp['current_mastery'] < 0.85); $weak = array_filter($knowledgePoints, fn($kp) => $kp['current_mastery'] < 0.70); // 排序找出优势和薄弱点 usort($knowledgePoints, fn($a, $b) => $b['current_mastery'] <=> $a['current_mastery']); $topStrengths = array_slice($knowledgePoints, 0, 3); $topWeaknesses = array_slice(array_reverse($knowledgePoints), 0, 3); return [ 'total_knowledge_points' => count($knowledgePoints), 'average_mastery' => round($averageMastery, 4), 'mastery_distribution' => [ 'mastered' => count($mastered), 'good' => count($good), 'weak' => count($weak) ], 'top_strengths' => $topStrengths, 'top_weaknesses' => $topWeaknesses, 'overall_performance' => $this->evaluateOverallPerformance($averageMastery) ]; } /** * 生成智能出卷推荐依据 * 基于文档中的推荐优先级算法 */ private function generateSmartQuizRecommendation(array $updatedMastery): array { $recommendations = []; foreach ($updatedMastery as $kpId => $data) { $mastery = $data['current_mastery']; $confidence = $data['confidence']; $weight = $data['weight']; // 推荐优先级 = (1 - 掌握度) * 重要性 * 覆盖需求 // 重要性可以根据知识点在中考/阶段考试中的权重,这里简化为1.0 $importance = 1.0; // 覆盖需求:最近没考过或考得少,值大 $coverageNeed = max(1.0, 1.5 - ($weight / 10)); $priority = (1 - $mastery) * $importance * $coverageNeed; $recommendations[] = [ 'kp_id' => $kpId, 'current_mastery' => $mastery, 'priority' => $priority, 'recommended_questions' => $this->calculateRecommendedQuestions($mastery), 'focus_type' => $this->determineFocusType($mastery) ]; } // 按优先级排序 usort($recommendations, fn($a, $b) => $b['priority'] <=> $a['priority']); // 控制难度节奏:40%巩固型 + 40%修补型 + 20%挑战型 $totalRecommendations = count($recommendations); $consolidation = array_slice($recommendations, 0, intval($totalRecommendations * 0.4)); $remediation = array_slice($recommendations, intval($totalRecommendations * 0.4), intval($totalRecommendations * 0.4)); $challenge = array_slice($recommendations, intval($totalRecommendations * 0.8)); return [ 'priority_list' => $recommendations, 'quiz_structure' => [ 'consolidation_type' => $consolidation, 'remediation_type' => $remediation, 'challenge_type' => $challenge ], 'total_recommended_questions' => array_sum(array_column($recommendations, 'recommended_questions')) ]; } /** * 保存考试答题记录 */ private function saveExamAnswerRecords(array $examData): void { $studentId = $examData['student_id']; $examId = $examData['exam_id']; foreach ($examData['questions'] as $question) { $questionId = $question['question_id']; $steps = $question['steps'] ?? []; // 保存步骤级记录 if (!empty($steps)) { foreach ($steps as $step) { DB::connection('pgsql')->table('student_answer_steps')->insert([ 'student_id' => $studentId, 'exam_id' => $examId, 'question_id' => $questionId, 'step_index' => $step['step_index'], 'kp_id' => $step['kp_id'] ?? 'K-GENERAL', 'is_correct' => $step['is_correct'], 'step_score' => $step['score'] ?? 0, 'created_at' => now(), 'updated_at' => now(), ]); } } else { // 保存题目级记录 DB::connection('pgsql')->table('student_answer_questions')->insert([ 'student_id' => $studentId, 'exam_id' => $examId, 'question_id' => $questionId, 'score_obtained' => $question['score_obtained'] ?? 0, 'max_score' => $question['score'] ?? 0, 'created_at' => now(), 'updated_at' => now(), ]); } } } /** * 保存分析结果 */ private function saveAnalysisResult(string $studentId, string $examId, array $result): void { DB::connection('pgsql')->table('exam_analysis_results')->insert([ 'student_id' => $studentId, 'exam_id' => $examId, 'analysis_data' => json_encode($result), 'created_at' => now(), 'updated_at' => now(), ]); } /** * 判断掌握度趋势 */ private function determineMasteryTrend(float $previous, float $current): string { $change = $current - $previous; if ($change > 0.1) { return 'improving'; } elseif ($change < -0.1) { return 'declining'; } else { return 'stable'; } } /** * 评估表现水平 */ private function evaluatePerformanceLevel(float $mastery): string { if ($mastery >= 0.85) { return 'excellent'; } elseif ($mastery >= 0.70) { return 'good'; } elseif ($mastery >= 0.50) { return 'fair'; } else { return 'poor'; } } /** * 生成题目表现总结 */ private function generateQuestionPerformanceSummary(array $question, array $stepAnalysis): string { if (empty($stepAnalysis)) { return '整题作答'; } $correctSteps = count(array_filter($stepAnalysis, fn($s) => $s['is_correct'])); $totalSteps = count($stepAnalysis); if ($correctSteps === $totalSteps) { return '所有步骤正确'; } elseif ($correctSteps > 0) { return "部分正确 ({$correctSteps}/{$totalSteps} 步骤正确)"; } else { return '所有步骤错误'; } } /** * 生成知识点建议 */ private function generateKnowledgePointRecommendation(array $data): string { $mastery = $data['mastery']; if ($mastery >= 0.85) { return '掌握良好,可安排综合练习'; } elseif ($mastery >= 0.70) { return '基本掌握,建议加强练习'; } elseif ($mastery >= 0.50) { return '需要重点练习,建议安排专项训练'; } else { return '薄弱知识点,建议系统学习和大量练习'; } } /** * 评估整体表现 */ private function evaluateOverallPerformance(float $averageMastery): string { if ($averageMastery >= 0.85) { return '优秀'; } elseif ($averageMastery >= 0.70) { return '良好'; } elseif ($averageMastery >= 0.50) { return '一般'; } else { return '需加强'; } } /** * 计算推荐题目数量 */ private function calculateRecommendedQuestions(float $mastery): int { if ($mastery >= 0.85) { return 1; // 巩固型:1题 } elseif ($mastery >= 0.50) { return 2; // 修补型:2题 } else { return 3; // 挑战型:3题 } } /** * 确定重点类型 */ private function determineFocusType(float $mastery): string { if ($mastery >= 0.70 && $mastery < 0.85) { return 'consolidation'; // 巩固型 } elseif ($mastery < 0.70) { return 'remediation'; // 修补型 } else { return 'challenge'; // 挑战型 } } }