某学生在整理班级同学的课外阅读时间时,记录了5名同学每天阅读的分钟数分别为:20、25、30、35、40。如果他想用条形统计图表示这些数据,每个条形的高度代表对应的阅读时间,那么这5个条形中最高条形与最矮条形的高度差是多少分钟?
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设喜欢低碳出行宣传活动的学生有x人。根据题意,喜欢节水宣传活动的学生比喜欢低碳出行的多10人,因此为(x + 10)人;喜欢垃圾分类宣传活动的学生是喜欢节水宣传的2倍,即为2(x + 10)人。三类人数之和等于总有效问卷数120,因此方程为:x + (x + 10) + 2(x + 10) = 120。选项A正确列出了该方程。
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[{"id":2254,"content":"在数轴上,点A表示的数是-3,点B与点A的距离是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-3,点B与点A的距离是5个单位长度,说明点B可能在-3的左侧或右侧。若在左侧,则为-3 - 5 = -8;若在右侧,则为-3 + 5 = 2。题目中明确指出点B在原点的右侧,即表示正数,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":207,"content":"某学生在计算一个数的相反数时,将原数加上了3,结果得到了0,那么这个数是____。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"-3","explanation":"设这个数为x。根据题意,某学生计算相反数时错误地将原数加上了3,得到结果为0,因此可以列出方程:x + 3 = 0。解这个方程,两边同时减去3,得到x = -3。所以这个数是-3。","options":[]},{"id":2221,"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5℃,记作+5℃;第二天又下降了3℃,记作-3℃。如果这两天的温度变化总和用正负数表示,那么这两天的总变化是___℃。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"2","explanation":"根据正负数表示相反意义的量,温度上升记为正,下降记为负。两天的变化分别为+5℃和-3℃,总变化为+5 + (-3) = 2℃,因此答案是2。","options":[]},{"id":680,"content":"在一次班级图书角统计中,某学生发现科普类书籍比文学类书籍多8本,两类书籍共有32本。设文学类书籍有x本,则根据题意可列出一元一次方程:_x + (x + 8) = 32_,解得x = _12_,因此科普类书籍有_20_本。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"x + (x + 8) = 32;12;20","explanation":"根据题意,文学类书籍为x本,科普类比文学类多8本,即为(x + 8)本。两类书总数为32本,因此可列方程:x + (x + 8) = 32。解这个方程:2x + 8 = 32 → 2x = 24 → x = 12。所以文学类有12本,科普类有12 + 8 = 20本。本题考查一元一次方程的建立与求解,属于七年级上册重点内容。","options":[]},{"id":2287,"content":"在数轴上,点A表示的数是-5,点B与点A之间的距离是8个单位长度,且点B位于点A的右侧,那么点B表示的数是___。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"3","explanation":"根据题意,点A表示-5,点B在点A右侧且距离为8个单位长度。在数轴上向右移动表示数值增加,因此点B表示的数为-5 + 8 = 3。","options":[]},{"id":12,"content":"《朝花夕拾》的作者是?","type":"选择题","subject":"语文","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"《朝花夕拾》是鲁迅创作的回忆性散文集。","options":[{"id":"A","content":"鲁迅"},{"id":"B","content":"郭沫若"},{"id":"C","content":"茅盾"},{"id":"D","content":"老舍"}]},{"id":245,"content":"某学生计算一个数的相反数时,将该数加上3,结果得到8,那么这个数的相反数是____。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"-5","explanation":"设这个数为x。根据题意,某学生将这个数加上3得到8,即x + 3 = 8,解得x = 5。那么这个数的相反数是-5。题目考查的是相反数的概念和一元一次方程的简单应用,符合七年级数学课程内容。","options":[]},{"id":2227,"content":"某学生记录了一周内每天气温的变化情况,规定气温上升记为正,下降记为负。已知周一气温变化为 -3℃,周二为 +5℃,周三为 -2℃,则这三天中气温变化总和为 ___ ℃。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"0","explanation":"根据题意,气温变化总和为 -3 + (+5) + (-2)。先计算 -3 + 5 = 2,再计算 2 + (-2) = 0。因此,三天气温变化总和为 0℃,表示整体上没有变化。","options":[]},{"id":304,"content":"某学生在平面直角坐标系中描出点 A(2, 3) 和点 B(2, -1),连接 AB 得到一条线段。关于这条线段,下列说法正确的是:","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"点 A(2, 3) 和点 B(2, -1) 的横坐标相同,都是 2,说明这两个点位于同一条竖直线上。在平面直角坐标系中,横坐标相同的两点所连成的线段与 y 轴平行。因此,选项 B 正确。选项 A 错误,因为与 x 轴平行的线段要求纵坐标相同;选项 C 错误,因为线段 AB 上所有点的横坐标都是 2,而原点的横坐标是 0,不可能经过原点;选项 D 错误,线段 AB 的长度为 |3 - (-1)| = 4 个单位,不是 2 个单位。","options":[{"id":"A","content":"线段 AB 与 x 轴平行"},{"id":"B","content":"线段 AB 与 y 轴平行"},{"id":"C","content":"线段 AB 经过原点"},{"id":"D","content":"线段 AB 的长度为 2 个单位"}]},{"id":1795,"content":"某学生在平面直角坐标系中绘制了一个四边形ABCD,已知点A(1, 2)、B(4, 6)、C(7, 4),且四边形ABCD是一个平行四边形。若点D的坐标为(x, y),则x + y的值是多少?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"困难","answer":"B","explanation":"在平行四边形中,对角线互相平分,因此可以利用中点公式求解。设点D的坐标为(x, y)。由于ABCD是平行四边形,对角线AC和BD的中点重合。首先计算对角线AC的中点:A(1, 2),C(7, 4),中点坐标为((1+7)\/2, (2+4)\/2) = (4, 3)。再设BD的中点也为(4, 3),其中B(4, 6),D(x, y),则有((4+x)\/2, (6+y)\/2) = (4, 3)。由此列出方程组:(4+x)\/2 = 4,解得x = 4;(6+y)\/2 = 3,解得y = 0。因此点D的坐标为(4, 0),x + y = 4 + 0 = 4。","options":[{"id":"A","content":"2"},{"id":"B","content":"4"},{"id":"C","content":"6"},{"id":"D","content":"8"}]}]