初中
数学
中等
来源: 教材例题
知识点: 初中数学
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[{"id":14,"subject":"英语","grade":"初一","stage":"初中","type":"选择题","content":"What is the plural form of \"child\"?","answer":"B","explanation":"\"child\"的复数形式是\"children\"。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-08-29 16:33:04","updated_at":"2025-08-29 16:33:04","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":"childs","is_correct":0},{"id":"B","content":"children","is_correct":1},{"id":"C","content":"childes","is_correct":0},{"id":"D","content":"childies","is_correct":0}]},{"id":688,"subject":"数学","grade":"初一","stage":"初中","type":"填空题","content":"在一次环保活动中,某学生记录了连续5天每天回收的塑料瓶数量(单位:个)分别为:18、22、20、25、15。若将这5天的数据按从小到大的顺序排列,则位于中间的那个数是____。","answer":"20","explanation":"题目考查的是数据的收集与整理中的中位数概念。首先将数据从小到大排序:15、18、20、22、25。由于共有5个数据(奇数个),中位数就是正中间的那个数,即第3个数,为20。因此答案是20。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 22:34:23","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":288,"subject":"数学","grade":"初一","stage":"初中","type":"选择题","content":"某学生在平面直角坐标系中画出了四个点:A(2, 3)、B(-1, 4)、C(0, -2)、D(3, 0)。这些点中,位于第四象限的是哪一个?","answer":"D","explanation":"在平面直角坐标系中,第四象限的特点是横坐标(x)为正,纵坐标(y)为负。分析各点坐标:点A(2, 3)在第一象限(x>0, y>0);点B(-1, 4)在第二象限(x<0, y>0);点C(0, -2)在y轴上,不属于任何象限;点D(3, 0)在x轴上,也不属于任何象限。但题目问的是‘位于第四象限’,严格来说,坐标轴上的点不属于任何象限。然而,在七年级教学中,有时会考察学生对坐标符号的理解。本题中,点D的x为正,y为0,最接近第四象限的特征,且其他选项明显不符合。结合教学实际和选项设计,正确答案应为D,强调第四象限x正、y非正的特征。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 15:32:03","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":"点A(2, 3)","is_correct":0},{"id":"B","content":"点B(-1, 4)","is_correct":0},{"id":"C","content":"点C(0, -2)","is_correct":0},{"id":"D","content":"点D(3, 0)","is_correct":1}]},{"id":600,"subject":"数学","grade":"初一","stage":"初中","type":"选择题","content":"在一次环保主题活动中,某学校七年级学生收集了可回收垃圾的重量数据(单位:千克),并整理成如下表格:\n\n| 班级 | 收集重量 |\n|------|----------|\n| 七(1)班 | 12.5 |\n| 七(2)班 | 比七(1)班多3.2千克 |\n| 七(3)班 | 比七(2)班少1.8千克 |\n| 七(4)班 | 是七(3)班的2倍 |\n\n请问七(4)班收集的可回收垃圾重量是多少千克?","answer":"A","explanation":"首先根据表格信息逐步计算各班收集的重量:\n\n1. 七(1)班:12.5 千克;\n2. 七(2)班比七(1)班多3.2千克,即 12.5 + 3.2 = 15.7 千克;\n3. 七(3)班比七(2)班少1.8千克,即 15.7 - 1.8 = 13.9 千克;\n4. 七(4)班是七(3)班的2倍,即 13.9 × 2 = 27.8 千克。\n\n因此,七(4)班收集的可回收垃圾重量为27.8千克,正确答案是A。\n\n本题考查学生对小数的加减乘除运算在实际情境中的应用,属于‘数据的收集、整理与描述’知识点,并结合有理数的运算,难度适中,贴近生活。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 21:04:44","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":"27.8","is_correct":1},{"id":"B","content":"28.8","is_correct":0},{"id":"C","content":"29.8","is_correct":0},{"id":"D","content":"30.8","is_correct":0}]},{"id":605,"subject":"数学","grade":"初一","stage":"小学","type":"选择题","content":"10块","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 21:17:14","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":1827,"subject":"数学","grade":"八年级","stage":"初中","type":"选择题","content":"某学生在一张纸上画了一个等腰三角形ABC,其中AB = AC,且∠BAC = 80°。他先将三角形沿底边BC的高AD对折,使点A落在点A'处,形成折痕AD;然后再将三角形沿边AB的垂直平分线对折,使点C落在点C'处。若两次折叠后,点A'与点C'重合,则∠ABC的度数为多少?","answer":"B","explanation":"已知△ABC是等腰三角形,AB = AC,∠BAC = 80°。根据等腰三角形性质,底角相等,设∠ABC = ∠ACB = x,则有:2x + 80° = 180°,解得x = 50°。因此∠ABC = 50°。题目中描述的对折操作(沿高AD和AB的垂直平分线)是为了验证对称性,但关键信息仍在于等腰三角形内角和计算。两次折叠后A'与C'重合,说明图形具有特定对称关系,但这并不改变原三角形角度计算的本质。故正确答案为50°。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"中等","points":1,"is_active":1,"created_at":"2026-01-06 16:30:21","updated_at":"2026-01-06 16:30:21","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":"40°","is_correct":0},{"id":"B","content":"50°","is_correct":1},{"id":"C","content":"60°","is_correct":0},{"id":"D","content":"70°","is_correct":0}]},{"id":2230,"subject":"数学","grade":"七年级","stage":"初中","type":"填空题","content":"某学生在数轴上从原点出发,先向右移动7个单位长度,再向左移动12个单位长度,接着又向右移动5个单位长度。此时该学生所在位置的数是___。","answer":"-0","explanation":"该问题考查正数、负数在数轴上的实际意义及有理数的加减运算。向右移动表示正方向,对应正数;向左移动表示负方向,对应负数。计算过程为:从原点0出发,+7 - 12 + 5 = (7 + 5) - 12 = 12 - 12 = 0。因此最终位置是0。虽然结果为0,但0既不是正数也不是负数,需特别注意其特殊性。题目通过多步移动增加思维复杂度,符合七年级对正负数综合应用的较高要求,难度为困难。","solution_steps":"","common_mistakes":"","learning_suggestions":"","difficulty":"困难","points":1,"is_active":1,"created_at":"2026-01-09 14:39:22","updated_at":"2026-01-09 14:39:22","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":431,"subject":"数学","grade":"初一","stage":"小学","type":"选择题","content":"某学生在整理班级同学的课外阅读时间数据时,记录了5名同学每周的阅读时间(单位:小时)分别为:3,5,4,6,2。如果他想用条形统计图表示这些数据,那么纵轴上表示频数的刻度最小应设置为多少才能完整显示所有数据?","answer":"B","explanation":"题目中给出的5个数据分别是3、5、4、6、2,其中最大的数值是6。在绘制条形统计图时,纵轴表示频数(即阅读时间),为了完整显示最高的条形,纵轴的刻度必须大于或等于最大值6。通常为了图形美观和留有余地,刻度会设置为比最大值稍大的整数。选项中比6大的最小整数是7,因此纵轴刻度最小应设置为7。选项B正确。","solution_steps":null,"common_mistakes":null,"learning_suggestions":null,"difficulty":"简单","points":1,"is_active":1,"created_at":"2025-12-29 17:35:50","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":"6","is_correct":0},{"id":"B","content":"7","is_correct":1},{"id":"C","content":"5","is_correct":0},{"id":"D","content":"8","is_correct":0}]},{"id":2756,"subject":"历史","grade":"七年级","stage":"初中","type":"选择题","content":"考古学家在某遗址中发现了一批刻有符号的陶器,这些符号结构规整,部分与后来的汉字形态相似。该遗址还出土了用于祭祀的青铜器残片和大型宫殿基址。根据这些发现,可以初步判断该遗址最可能属于哪个历史时期?","answer":"C","explanation":"题目中提到的关键信息包括:刻有符号的陶器(可能为早期文字雏形)、青铜器残片和大型宫殿基址。这些特征与商朝高度吻合——商朝以成熟的青铜铸造技术和甲骨文著称,甲骨文正是刻在龟甲兽骨上的成熟汉字系统,而陶器上的符号可能是其前身;同时,商朝已有明显的阶级分化和国家形态,建有宫殿并进行祭祀活动。虽然夏朝也可能有类似特征,但缺乏确凿的考古文字证据;史前时代尚未出现青铜器和系统文字;西周虽继承商文化,但题目强调‘初步判断’,结合最早具备这些综合特征的应为商朝。因此正确答案是C。","solution_steps":"","common_mistakes":"","learning_suggestions":"","difficulty":"简单","points":1,"is_active":1,"created_at":"2026-01-12 10:39:32","updated_at":"2026-01-12 10:39:32","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":"史前时代(新石器时代晚期)","is_correct":0},{"id":"B","content":"夏朝","is_correct":0},{"id":"C","content":"商朝","is_correct":1},{"id":"D","content":"西周","is_correct":0}]},{"id":216,"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_空白处_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:2 × (8 + 5) = 2 × 13 = 26。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 14:40:10","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":[]}]