某班级组织了一次环保知识竞赛,共20道题,答对一题得5分,答错或不答扣2分。一名学生最终得分为65分,请问他答对了多少道题?
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题目中给出的数据范围是从0.5小时到1.5小时,因此全距为1.5 - 0.5 = 1.0小时。将数据分为5组,且每组组距相同,则组距 = 全距 ÷ 组数 = 1.0 ÷ 5 = 0.2小时。因此正确答案是B选项。
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[{"id":474,"content":"2个","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":168,"content":"小明去文具店买笔记本,每本笔记本的价格是8元。他买了3本,付给收银员50元,应找回多少元?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"A","explanation":"首先计算3本笔记本的总价:8元\/本 × 3本 = 24元。小明付了50元,所以应找回的钱为:50元 - 24元 = 26元。因此正确答案是A。","options":[{"id":"A","content":"26元"},{"id":"B","content":"24元"},{"id":"C","content":"34元"},{"id":"D","content":"16元"}]},{"id":214,"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":2413,"content":"在一次数学实践活动中,某学生测量了一个等腰三角形的底边和腰长,发现底边长为8 cm,腰长为5 cm。随后,该学生将这个三角形沿其对称轴折叠,使两个腰完全重合。若将折叠后的图形展开,并在三角形内部作一条平行于底边的线段,使得这条线段将三角形的面积分为相等的两部分,则这条线段的长度是多少?","type":"选择题","subject":"数学","grade":"八年级","stage":"初中","difficulty":"中等","answer":"A","explanation":"首先,已知等腰三角形底边为8 cm,腰长为5 cm。利用勾股定理可求出高:从顶点向底边作高,将底边平分,得到两个直角三角形,直角边分别为4 cm和h,斜边为5 cm。由勾股定理得 h² + 4² = 5²,解得 h = 3 cm,因此三角形面积为 (1\/2)×8×3 = 12 cm²。要求作一条平行于底边的线段,将面积分为相等的两部分,即上方小三角形面积为6 cm²。由于小三角形与原三角形相似,面积比为1:2,因此边长比为 √(1\/2) = 1\/√2。原底边为8 cm,故所求线段长度为 8 × (1\/√2) = 8\/√2 = 4√2 cm。因此正确答案为A。","options":[{"id":"A","content":"4√2 cm"},{"id":"B","content":"4 cm"},{"id":"C","content":"2√6 cm"},{"id":"D","content":"3√3 cm"}]},{"id":580,"content":"某班级进行了一次数学测验,成绩分布如下表所示。老师想计算全班的平均分,但发现表格中缺少一个数据。已知全班共有40名学生,其中90分以上有8人,80~89分有12人,70~79分有10人,60~69分有x人,60分以下有5人。如果全班平均分为75分,那么60~69分的学生人数x是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"首先根据总人数建立方程:8 + 12 + 10 + x + 5 = 40,解得x = 5。接着验证平均分是否合理:假设各分数段取中间值计算总分,90分以上按95分计,80~89按85分计,70~79按75分计,60~69按65分计,60分以下按55分计。则总分为:8×95 + 12×85 + 10×75 + 5×65 + 5×55 = 760 + 1020 + 750 + 325 + 275 = 3130。平均分为3130 ÷ 40 = 78.25,略高于75,说明估算偏高,但题目仅要求通过人数关系求解x,而人数总和必须为40,因此x = 5是唯一满足条件的整数解。本题考查数据的收集与整理以及一元一次方程的应用,难度为简单。","options":[{"id":"A","content":"3"},{"id":"B","content":"4"},{"id":"C","content":"5"},{"id":"D","content":"6"}]},{"id":531,"content":"在一次班级数学测验中,老师对全班40名学生的成绩进行了统计,发现成绩在80分及以上的学生占总人数的3\/8。如果成绩在60分到79分之间的学生比80分及以上的多10人,那么成绩低于60分的学生有多少人?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"首先,全班共有40名学生。成绩在80分及以上的学生占总人数的3\/8,因此人数为:40 × 3\/8 = 15人。题目说明成绩在60分到79分之间的学生比80分及以上的多10人,所以该分数段人数为:15 + 10 = 25人。那么,成绩低于60分的学生人数为总人数减去前两个分数段的人数:40 - 15 - 25 = 5人。因此,正确答案是A。","options":[{"id":"A","content":"5人"},{"id":"B","content":"8人"},{"id":"C","content":"10人"},{"id":"D","content":"12人"}]},{"id":839,"content":"某学生在整理班级同学的身高数据时,将数据分为5组,每组组距为5厘米。已知最矮的一组下限是150厘米,那么最高的一组的上限是___厘米。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"175","explanation":"题目中说明数据分为5组,每组组距为5厘米,最矮一组的下限是150厘米。因此,各组的范围依次为:第1组150-155,第2组155-160,第3组160-165,第4组165-170,第5组170-175。最高一组的上限即为最后一组的上界,也就是175厘米。","options":[]},{"id":869,"content":"某学生在整理班级同学的课外阅读情况时,发现喜欢阅读小说、科普、漫画的人数分别为12人、8人和10人。若用扇形统计图表示这三类阅读喜好,则代表‘科普’类别的扇形圆心角的度数是____度。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"96","explanation":"首先计算总人数:12 + 8 + 10 = 30人。‘科普’类人数占总人数的比例为8 ÷ 30 = 4\/15。扇形统计图中整个圆为360度,因此‘科普’类对应的圆心角为360 × (4\/15) = 96度。","options":[]},{"id":435,"content":"90","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":806,"content":"某班级组织了一次环保知识竞赛,共收集了30名学生的成绩。将成绩分为5个等级:A、B、C、D、E,其中A等级有6人,B等级有9人,C等级有8人,D等级有5人,E等级有2人。若用扇形统计图表示各等级人数所占比例,则C等级对应的圆心角为___度。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"96","explanation":"首先计算C等级人数占总人数的比例:8 ÷ 30 = 4\/15。扇形统计图中整个圆为360度,因此C等级对应的圆心角为 360 × (8\/30) = 360 × (4\/15) = 96 度。","options":[]}]