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根据题意,第一组清理了3袋,第二组比第一组多2袋,所以第二组清理了3 + 2 = 5袋。第三组清理的袋数是第二组的一半,即5 ÷ 2 = 2.5袋。本题考查有理数中的小数运算,属于简单难度,符合七年级学生对有理数加减与除法的基本应用能力要求。
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[{"id":412,"content":"在一次班级组织的环保活动中,某学生记录了连续五天收集的废旧纸张重量(单位:千克),数据分别为:2.5,3.1,2.8,3.4,2.7。为了更好地展示数据变化趋势,老师要求将这组数据按从小到大的顺序排列后,求出中位数。请问这组数据的中位数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"首先将原始数据按从小到大的顺序排列:2.5,2.7,2.8,3.1,3.4。由于共有5个数据(奇数个),中位数就是位于正中间的那个数,即第3个数。排序后第3个数是2.8,因此中位数是2.8。本题考查的是数据的收集、整理与描述中的中位数概念,属于七年级数学统计初步内容,难度为简单。","options":[{"id":"A","content":"2.5"},{"id":"B","content":"2.7"},{"id":"C","content":"2.8"},{"id":"D","content":"3.1"}]},{"id":358,"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(单位:分)分别为:82,76,90,88,84。为了分析整体情况,该学生需要计算这组数据的平均数。请问这组数据的平均数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"计算平均数的方法是将所有数据相加,然后除以数据的个数。首先将5个成绩相加:82 + 76 + 90 + 88 + 84 = 420。然后将总和除以人数5:420 ÷ 5 = 84。因此,这组数据的平均数是84分,正确答案是B。","options":[{"id":"A","content":"82分"},{"id":"B","content":"84分"},{"id":"C","content":"86分"},{"id":"D","content":"88分"}]},{"id":2262,"content":"在数轴上,点A表示的数是-3,点B与点A之间的距离为5个单位长度,且点B在原点的右侧。那么点B表示的数是___。","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"点A表示的数是-3,点B与点A的距离为5个单位长度。由于在数轴上向右移动数值增大,且点B在原点右侧,说明点B表示的数大于0。从-3向右移动5个单位:-3 + 5 = 2,因此点B表示的数是2。选项B正确。","options":[{"id":"A","content":"-8"},{"id":"B","content":"2"},{"id":"C","content":"8"},{"id":"D","content":"-2"}]},{"id":672,"content":"在一次班级大扫除中,某学生负责统计擦窗户和拖地的人数。已知擦窗户的人数比拖地人数的2倍少3人,而两项工作总共有27人参与。设拖地的人数为x,则根据题意可列出一元一次方程:___。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"x + (2x - 3) = 27","explanation":"设拖地的人数为x,则擦窗户的人数为2x - 3(因为比拖地人数的2倍少3人)。两项工作总人数为27人,因此拖地人数加上擦窗户人数等于27,即x + (2x - 3) = 27。该方程正确反映了题目中的数量关系,属于一元一次方程的实际应用,符合七年级数学课程要求。","options":[]},{"id":261,"content":"某学生在解方程时,将方程 3(x - 2) + 5 = 2x + 7 的括号展开后得到 3x - 6 + 5 = 2x + 7,合并同类项后得到 3x - 1 = 2x + 7。接下来,该学生将含 x 的项移到等式左边,常数项移到右边,得到 ___ = 8,解得 x = 8。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"中等","answer":"x","explanation":"从步骤 3x - 1 = 2x + 7 开始,将 2x 移到左边变为 -2x,将 -1 移到右边变为 +1,得到 3x - 2x = 7 + 1,即 x = 8。因此,空格处应填写的是变量 x,表示移项后得到的方程是 x = 8。此题考查一元一次方程的移项与合并同类项能力,属于七年级代数基础内容。","options":[]},{"id":1921,"content":"某班级组织了一次环保知识竞赛,共收集了120份有效问卷。在整理数据时,一名学生将各分数段人数绘制成扇形统计图。已知得分在80~100分的人数占总人数的35%,则该分数段对应的扇形圆心角的度数是多少?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"扇形统计图中,每个扇形的圆心角度数 = 该部分所占百分比 × 360°。题目中80~100分的人数占35%,因此对应的圆心角为:35% × 360° = 0.35 × 360° = 126°。故正确答案为B。","options":[{"id":"A","content":"105°"},{"id":"B","content":"126°"},{"id":"C","content":"140°"},{"id":"D","content":"150°"}]},{"id":1060,"content":"在一次班级环保活动中,某学生收集了废旧纸张和塑料瓶共12件,其中废旧纸张比塑料瓶多4件。设塑料瓶的数量为x件,则根据题意可列出一元一次方程:_x + (x + 4) = 12_,解得x = _4_,因此塑料瓶有_4_件,废旧纸张有_8_件。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"x + (x + 4) = 12;4;4;8","explanation":"设塑料瓶数量为x件,则废旧纸张数量为x + 4件。根据总数量为12件,可列方程x + (x + 4) = 12。解这个方程:2x + 4 = 12 → 2x = 8 → x = 4。因此塑料瓶有4件,废旧纸张有4 + 4 = 8件。本题考查一元一次方程的建立与求解,符合七年级数学课程内容。","options":[]},{"id":2208,"content":"某学生在记录一周内每天气温变化时,发现某天的气温比前一天上升了3℃,记作+3℃;另一天比前一天下降了2℃,应记作多少?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"气温上升用正数表示,下降则用负数表示。题目中气温下降了2℃,应记作-2℃,因此正确答案是B。","options":[{"id":"A","content":"+2℃"},{"id":"B","content":"-2℃"},{"id":"C","content":"0℃"},{"id":"D","content":"2℃"}]},{"id":1031,"content":"在一次班级环保活动中,某学生收集了若干节废旧电池。他将这些电池分成3组,第一组比第二组多2节,第三组比第二组少1节,三组共收集了14节电池。设第二组有x节电池,则可列出一元一次方程为:___。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"x + (x + 2) + (x - 1) = 14","explanation":"设第二组有x节电池,则第一组有(x + 2)节,第三组有(x - 1)节。根据题意,三组总数为14节,因此方程为x + (x + 2) + (x - 1) = 14。该题考查学生根据实际问题建立一元一次方程的能力,属于一元一次方程知识点的简单应用。","options":[]},{"id":2525,"content":"如图,在水平地面上竖立着一个圆形转盘,其中心为O,半径为2米。转盘绕点O顺时针旋转90°后,点P落在点P'的位置。若点P初始位置在转盘的最右端,则点P到点P'的直线距离为多少?","type":"选择题","subject":"数学","grade":"九年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"点P初始位于圆盘最右端,即坐标为(2, 0)。圆盘绕中心O顺时针旋转90°后,点P移动到P',相当于将点(2, 0)绕原点顺时针旋转90°。根据旋转公式,顺时针旋转90°后的新坐标为(0, -2)。因此,点P(2, 0)与点P'(0, -2)之间的距离为√[(2-0)² + (0+2)²] = √(4 + 4) = √8 = 2√2(米)。本题考查旋转与坐标结合的距离计算,属于简单综合应用。","options":[{"id":"A","content":"2√2米"},{"id":"B","content":"4米"},{"id":"C","content":"2米"},{"id":"D","content":"√2米"}]}]