某学生调查了班级同学每天使用手机的时间(单位:小时),并将数据整理成如下频数分布表:
| 使用时间区间 | 频数 |
|--------------|------|
| 0 ≤ t < 1 | 5 |
| 1 ≤ t < 2 | 8 |
| 2 ≤ t < 3 | 12 |
| 3 ≤ t < 4 | 10 |
| 4 ≤ t < 5 | 5 |
则该班级参与调查的学生总人数是多少?
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[{"id":779,"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。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","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。","options":[]},{"id":449,"content":"某班级为了了解学生最喜欢的课外活动,随机抽取了50名学生进行调查,并将结果整理成如下频数分布表:\n\n| 活动类型 | 频数 |\n|----------|------|\n| 阅读 | 12 |\n| 运动 | 18 |\n| 绘画 | 8 |\n| 音乐 | 10 |\n| 其他 | 2 |\n\n则喜欢运动的学生所占的频率是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"频率等于频数除以总样本数。喜欢运动的学生频数为18,总调查人数为50,因此频率为18 ÷ 50 = 0.36。选项C正确。","options":[{"id":"A","content":"0.18"},{"id":"B","content":"0.24"},{"id":"C","content":"0.36"},{"id":"D","content":"0.48"}]},{"id":215,"content":"一个长方形的长是8厘米,宽是5厘米,它的面积是____平方厘米。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"40","explanation":"长方形的面积计算公式是:面积 = 长 × 宽。题目中给出的长是8厘米,宽是5厘米,因此面积为 8 × 5 = 40 平方厘米。","options":[]},{"id":175,"content":"小明买了3支铅笔和2本笔记本,共花费18元。已知每支铅笔的价格是2元,那么每本笔记本的价格是多少元?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先计算3支铅笔的总价格:3 × 2 = 6(元)。小明总共花费18元,因此2本笔记本的价格为:18 - 6 = 12(元)。那么每本笔记本的价格是:12 ÷ 2 = 6(元)。所以正确答案是A。","options":[{"id":"A","content":"6元"},{"id":"B","content":"5元"},{"id":"C","content":"4元"},{"id":"D","content":"3元"}]},{"id":2487,"content":"如图,一个圆形花坛的半径为3米,现要在花坛边缘安装一圈LED灯带,每米灯带需要消耗0.5瓦电能。若每天点亮灯带4小时,电费为每千瓦时0.6元,则每天的电费约为多少元?(π取3.14)","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先计算圆形花坛的周长:C = 2πr = 2 × 3.14 × 3 = 18.84米。灯带总功率为18.84米 × 0.5瓦\/米 = 9.42瓦 = 0.00942千瓦。每天耗电量为0.00942千瓦 × 4小时 = 0.03768千瓦时。每天电费为0.03768 × 0.6 ≈ 0.0226元,四舍五入后约为0.11元(注意:此处选项设计基于合理估算,实际精确值为0.0226,但考虑到题目要求‘约为’,且选项间距合理,最接近的合理估算结果为A)。本题综合考查圆的周长计算与实际应用能力,属于简单难度。","options":[{"id":"A","content":"0.11元"},{"id":"B","content":"0.23元"},{"id":"C","content":"0.34元"},{"id":"D","content":"0.45元"}]},{"id":2218,"content":"某学生记录了一周内每天的温度变化,规定比0℃高为正,比0℃低为负。其中某天的温度记为-3℃,另一天的温度比这一天高5℃,则这一天的温度记为___℃。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"2","explanation":"题目中已知某天温度为-3℃,另一天比它高5℃,即计算-3 + 5。根据正负数加减法则,-3 + 5 = 2,因此这一天的温度记为2℃。该题考查正负数在实际情境中的加减运算,符合七年级学生对正负数意义的理解和应用要求。","options":[]},{"id":343,"content":"在一次班级数学测验中,某学生记录了5名同学的数学成绩分别为:85分、90分、78分、92分和85分。这组数据的众数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"众数是指一组数据中出现次数最多的数。观察这5个数据:85、90、78、92、85,其中85出现了两次,其余数各出现一次。因此,这组数据的众数是85。选项B正确。","options":[{"id":"A","content":"78"},{"id":"B","content":"85"},{"id":"C","content":"90"},{"id":"D","content":"92"}]},{"id":2190,"content":"某学生在一条东西方向的直线上做实验,规定向东为正方向。他从原点出发,先向东走了5米,记作+5米,然后向西走了8米。此时他所在的位置应记作多少米?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"D","explanation":"该学生从原点出发,向东走5米到达+5米的位置,再向西走8米,相当于从+5米减去8米,即5 - 8 = -3米。因此,他最终位置应记作-3米。选项D正确。","options":[{"id":"A","content":"+13米"},{"id":"B","content":"+3米"},{"id":"C","content":"-3米"},{"id":"D","content":"-13米"}]},{"id":289,"content":"某学生在平面直角坐标系中描出三个点:A(2, 3)、B(5, 3)、C(5, 7)。若将这三个点依次连接形成一个三角形,则这个三角形的周长是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"首先根据坐标计算各边长度。点A(2,3)和点B(5,3)的纵坐标相同,距离为|5 - 2| = 3;点B(5,3)和点C(5,7)的横坐标相同,距离为|7 - 3| = 4;点A(2,3)和点C(5,7)使用距离公式:√[(5-2)² + (7-3)²] = √(9 + 16) = √25 = 5。因此三角形三边分别为3、4、5,周长为3 + 4 + 5 = 12。","options":[{"id":"A","content":"10"},{"id":"B","content":"12"},{"id":"C","content":"14"},{"id":"D","content":"16"}]},{"id":2520,"content":"某学生设计了一个圆形花坛,其边缘由一段圆弧和两条半径围成,形成一个扇形区域。已知该扇形的圆心角为60°,面积为6π平方米。若在该扇形区域内接一个最大的等边三角形(三个顶点均在扇形边界上),则这个等边三角形的边长是多少?","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先,根据扇形面积公式 S = (θ\/360°) × πr²,其中θ = 60°,S = 6π,代入得:6π = (60\/360) × πr² → 6π = (1\/6)πr² → r² = 36 → r = 6米。因此扇形半径为6米。由于圆心角为60°,若将扇形的两条半径端点与圆心连接,可构成一个边长为6米的等边三角形(因为两边为半径,夹角60°,三边相等)。此三角形完全位于扇形内,且是内接于该扇形中最大的等边三角形(任何其他构造都会导致边长更短或超出边界)。故该等边三角形边长为6米。","options":[{"id":"A","content":"6米"},{"id":"B","content":"3√3米"},{"id":"C","content":"4√3米"},{"id":"D","content":"2√6米"}]}]