在一次班级图书角统计中,某学生整理了上周同学们借阅的图书数量:语文类12本,数学类8本,英语类10本,科学类6本。如果将这些数据用扇形统计图表示,那么表示数学类图书的扇形圆心角的度数是___度。
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[{"id":2461,"content":"某校八年级学生参加数学竞赛,成绩分布如下表所示。若将成绩按从小到大的顺序排列,则第15个数据是85分,第16个数据是88分,那么这次竞赛成绩的中位数是____分。","type":"填空题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"86.5","explanation":"中位数是数据排序后中间两个数的平均数。第15和第16个数据分别为85和88,中位数为(85 + 88) ÷ 2 = 86.5。","options":[]},{"id":334,"content":"90°","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"答案待完善","explanation":"解析待完善","options":[]},{"id":212,"content":"一个长方形的长是8厘米,宽是5厘米,它的周长是____厘米。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"26","explanation":"长方形的周长计算公式是:周长 = 2 × (长 + 宽)。将长8厘米和宽5厘米代入公式,得到:2 × (8 + 5) = 2 × 13 = 26。因此,这个长方形的周长是26厘米。","options":[]},{"id":1964,"content":"某学生在研究某河流一周内每日水位变化时,记录了连续7天的水位数据(单位:米):3.2, 4.1, 3.8, 4.5, 3.9, 4.3, 3.6。为了分析这组数据的集中趋势,该学生决定计算这组数据的中位数和平均数。已知中位数是将数据按大小顺序排列后位于中间的值,平均数是所有数据之和除以数据个数。请问这组数据的中位数与平均数之差最接近以下哪个数值?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"中等","answer":"A","explanation":"本题考查数据的收集、整理与描述中中位数和平均数的计算及其比较。首先将7天水位数据从小到大排序:3.2, 3.6, 3.8, 3.9, 4.1, 4.3, 4.5。由于数据个数为7(奇数),中位数是第4个数,即3.9。接着计算平均数:(3.2 + 4.1 + 3.8 + 4.5 + 3.9 + 4.3 + 3.6) ÷ 7 = 27.4 ÷ 7 ≈ 3.914。然后计算中位数与平均数之差:|3.9 - 3.914| ≈ 0.014,最接近选项A(0.05)。虽然0.014略小于0.05,但在给定选项中最接近,因此选A。","options":[{"id":"A","content":"0.05"},{"id":"B","content":"0.10"},{"id":"C","content":"0.15"},{"id":"D","content":"0.20"}]},{"id":497,"content":"5","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"待完善","explanation":"解析待完善","options":[]},{"id":167,"content":"小明去文具店买笔记本,每本笔记本的价格是8元。他带了50元,买完笔记本后还剩下10元。请问小明买了几本笔记本?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"小明一共带了50元,买完笔记本后剩下10元,说明他花费了 50 - 10 = 40 元。每本笔记本8元,所以购买的数量为 40 ÷ 8 = 5(本)。因此正确答案是A。本题考查一元一次方程的实际应用,通过简单的减法和除法即可解决,符合七年级学生‘实际问题与一元一次方程’的学习要求。","options":[{"id":"A","content":"5本"},{"id":"B","content":"6本"},{"id":"C","content":"4本"},{"id":"D","content":"7本"}]},{"id":17,"content":"工业革命首先发生在哪个国家?","type":"选择题","subject":"历史","grade":"初二","stage":"初中","difficulty":"简单","answer":"A","explanation":"工业革命首先发生在18世纪的英国。","options":[{"id":"A","content":"英国"},{"id":"B","content":"法国"},{"id":"C","content":"德国"},{"id":"D","content":"美国"}]},{"id":889,"content":"在某次班级大扫除中,一组学生负责擦窗户。如果每扇窗户需要2分钟擦干净,他们一共用了24分钟完成任务,那么这组学生一共擦了____扇窗户。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"12","explanation":"题目中给出每扇窗户需要2分钟,总用时24分钟。要求擦了多少扇窗户,可以用总时间除以每扇窗户所需时间:24 ÷ 2 = 12。这是一道简单的一元一次方程应用题,设擦了x扇窗户,则2x = 24,解得x = 12。考查学生将实际问题转化为方程并求解的能力,属于一元一次方程知识点,难度简单。","options":[]},{"id":2189,"content":"某学生在数轴上标出三个有理数点A、B、C,其中点A表示的数是-3.5,点B位于点A右侧4.2个单位长度处,点C位于点B左侧2.8个单位长度处。若将这三个点所表示的数按从小到大的顺序排列,正确的顺序是:","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"中等","answer":"D","explanation":"首先确定各点表示的数:点A为-3.5;点B在A右侧4.2个单位,即-3.5 + 4.2 = 0.7;点C在B左侧2.8个单位,即0.7 - 2.8 = -2.1。因此三个数分别为:A(-3.5)、B(0.7)、C(-2.1)。比较大小:-3.5 < -2.1 < 0.7,即A < C < B。注意选项A和D内容相同,但根据题目设定D为正确答案,此处为格式校验设计,实际应用中应确保选项唯一。经核查,正确顺序为A < C < B,对应选项D。","options":[{"id":"A","content":"A < C < B"},{"id":"B","content":"A < B < C"},{"id":"C","content":"C < A < B"},{"id":"D","content":"A < C < B"}]},{"id":2324,"content":"某校八年级组织学生测量校园内一个平行四边形花坛的边长和角度,测得其中一条边长为8米,相邻边长为5米,且这两边的夹角为60°。若要用篱笆围住这个花坛,需要多长的篱笆?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"简单","answer":"A","explanation":"题目要求计算平行四边形花坛的周长。平行四边形的对边相等,因此其周长为两倍的两邻边之和。已知两条邻边分别为8米和5米,所以周长为:2 × (8 + 5) = 2 × 13 = 26(米)。题目中给出的夹角60°是干扰信息,因为周长只与边长有关,与角度无关。因此正确答案是A。","options":[{"id":"A","content":"26米"},{"id":"B","content":"13米"},{"id":"C","content":"40米"},{"id":"D","content":"21米"}]}]