[{"id":851,"subject":"数学","grade":"初一","stage":"小学","type":"填空题","content":"某学生在绘制班级同学最喜爱的课外活动统计图时,将数据整理成如下表格:阅读占20%,运动占35%,音乐占15%,绘画占___%,其余为其他活动。已知喜欢绘画的人数比喜欢音乐的人数多6人,且班级总人数为60人,那么绘画所占的百分比是____。","answer":"25","explanation":"首先,根据题意,班级总人数为60人。喜欢音乐的人占15%,即 60 × 15% = 9 人。喜欢绘画的人数比音乐多6人,所以绘画人数为 9 + 6 = 15 人。那么绘画所占的百分比为 (15 ÷ 60) × 100% = 25%。因此,空白处应填写25。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-30 01:04:52","updated_at":"2025-12-30 11:11:27","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[]},{"id":316,"subject":"数学","grade":"初一","stage":"小学","type":"选择题","content":"7人","answer":"答案待完善","explanation":"解析待完善","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 15:36:30","updated_at":"2025-12-30 11:11:27","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[]},{"id":156,"subject":"数学","grade":"初一","stage":"初中","type":"选择题","content":"已知一个三角形的两边长分别为5cm和8cm,第三边的长度可能是以下哪一个?","answer":"B","explanation":"根据三角形三边关系定理:任意两边之和大于第三边,任意两边之差小于第三边。已知两边为5cm和8cm,则第三边x应满足:8 - 5 < x < 8 + 5,即3 < x < 13。选项中只有5cm在这个范围内,因此正确答案是B。","solution_steps":"","common_mistakes":"","learning_suggestions":"","difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-24 11:57:36","updated_at":"2025-12-24 11:57:36","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[{"id":"A","content":"3cm","is_correct":0},{"id":"B","content":"5cm","is_correct":1},{"id":"C","content":"13cm","is_correct":0},{"id":"D","content":"15cm","is_correct":0}]},{"id":2514,"subject":"数学","grade":"九年级","stage":"初中","type":"选择题","content":"如图,在水平地面上有一盏路灯,一名学生站立在路灯正下方,其身高为1.6米。当他向正东方向行走4米后,影子的长度为2米。若路灯的高度保持不变,则路灯距离地面的高度为多少米?","answer":"B","explanation":"本题考查相似三角形的应用。设路灯高度为h米。当学生向东走4米后,他与路灯底部的水平距离为4米,此时他的影子长2米,因此从影子末端到路灯底部的总水平距离为4 + 2 = 6米。以路灯顶点、学生头顶、影子末端为关键点,可构成两个相似直角三角形:一个是由路灯、地面到影子末端组成的大三角形,另一个是由学生、其影子组成的小三角形。根据相似三角形对应边成比例,有:h \/ 6 = 1.6 \/ 2。解这个比例式得:h = (1.6 × 6) \/ 2 = 9.6 \/ 2 = 4.8(米)。因此,路灯距离地面的高度为4.8米。","solution_steps":"","common_mistakes":"","learning_suggestions":"","difficulty":"简单","points":1,"is_active":1,"created_at":"2026-01-10 15:45:36","updated_at":"2026-01-10 15:45:36","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[{"id":"A","content":"3.2","is_correct":0},{"id":"B","content":"4.8","is_correct":1},{"id":"C","content":"5.6","is_correct":0},{"id":"D","content":"6.4","is_correct":0}]},{"id":435,"subject":"数学","grade":"初一","stage":"小学","type":"选择题","content":"90","answer":"待完善","explanation":"解析待完善","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 17:37:57","updated_at":"2025-12-30 11:11:27","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[]},{"id":468,"subject":"数学","grade":"初一","stage":"小学","type":"选择题","content":"喜欢篮球的人数占总人数的30%","answer":"待完善","explanation":"解析待完善","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 17:53:00","updated_at":"2025-12-30 11:11:27","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[]},{"id":779,"subject":"数学","grade":"初一","stage":"初中","type":"填空题","content":"在一次环保活动中,某班级学生收集废旧电池。已知第一天收集了12节,第二天收集的数量比第一天多5节,第三天收集的数量是第二天的2倍。那么这三天一共收集了___节废旧电池。","answer":"63","explanation":"第一天收集了12节;第二天比第一天多5节,即12 + 5 = 17节;第三天是第二天的2倍,即17 × 2 = 34节。三天总共收集的数量为:12 + 17 + 34 = 63节。本题考查有理数的加减与乘法运算在实际问题中的应用,属于整式加减与有理数运算的综合简单应用。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 23:57:12","updated_at":"2025-12-30 11:11:27","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[]},{"id":2278,"subject":"数学","grade":"七年级","stage":"初中","type":"填空题","content":"在数轴上,点A表示的数是-3,点B与点A的距离为7个单位长度,且点B位于点A的右侧;点C与点B的距离为4个单位长度,且点C位于点B的左侧。那么点C表示的数是___。","answer":"0","explanation":"首先,点A表示-3,点B在点A右侧且距离为7,因此点B表示的数是-3 + 7 = 4。接着,点C在点B左侧且距离为4,因此点C表示的数是4 - 4 = 0。本题综合考查了数轴上点的位置关系与有理数加减运算,要求学生理解‘右侧’表示加法,‘左侧’表示减法,并能分步推理,属于较难题型。","solution_steps":"","common_mistakes":"","learning_suggestions":"","difficulty":"困难","points":1,"is_active":1,"created_at":"2026-01-09 16:27:13","updated_at":"2026-01-09 16:27:13","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[]},{"id":342,"subject":"数学","grade":"初一","stage":"小学","type":"选择题","content":"在一次班级数学测验中,老师统计了某小组5名学生的成绩(单位:分)分别为:78,85,90,85,82。这组数据的众数和中位数分别是多少?","answer":"A","explanation":"首先将数据从小到大排列:78,82,85,85,90。众数是出现次数最多的数,85出现了两次,其余数各出现一次,因此众数是85。中位数是数据按顺序排列后位于中间的数,共有5个数据,中间位置是第3个数,即85。因此,众数和中位数都是85,正确答案是A。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 15:40:43","updated_at":"2025-12-30 11:11:27","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[{"id":"A","content":"众数是85,中位数是85","is_correct":1},{"id":"B","content":"众数是85,中位数是82","is_correct":0},{"id":"C","content":"众数是90,中位数是85","is_correct":0},{"id":"D","content":"众数是78,中位数是82","is_correct":0}]},{"id":200,"subject":"数学","grade":"初一","stage":"小学","type":"填空题","content":"一个长方形的长是8厘米,宽是5厘米,它的周长是______厘米。","answer":"26","explanation":"长方形的周长计算公式是:周长 = 2 × (长 + 宽)。将已知的长8厘米和宽5厘米代入公式,得到:2 × (8 + 5) = 2 × 13 = 26(厘米)。因此,这个长方形的周长是26厘米。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 14:39:17","updated_at":"2025-12-30 11:11:27","sort_order":0,"source":null,"tags":null,"analysis":null,"knowledge_point":null,"difficulty_coefficient":null,"suggested_time":null,"accuracy_rate":null,"usage_count":0,"last_used":null,"view_count":0,"favorite_count":0,"options":[]}]