某校七年级组织学生参与校园绿化活动,计划在一块长方形空地上种植花草。已知这块空地的周长是60米,且长比宽的2倍少3米。若设这块空地的宽为x米,则根据题意可列方程为:
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[{"id":295,"content":"某学生调查了班级同学最喜欢的运动项目,收集数据后绘制成条形统计图。图中显示喜欢篮球的有12人,喜欢足球的有8人,喜欢乒乓球的有6人,喜欢跳绳的有4人。请问喜欢球类运动(包括篮球、足球和乒乓球)的学生共有多少人?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"题目要求计算喜欢球类运动的学生总人数,球类运动包括篮球、足球和乒乓球。根据题意,喜欢篮球的有12人,喜欢足球的有8人,喜欢乒乓球的有6人。将这些人数相加:12 + 8 + 6 = 26(人)。因此,喜欢球类运动的学生共有26人,正确答案是C。本题考查数据的收集与整理,重点在于理解分类并正确进行加法运算,符合七年级‘数据的收集、整理与描述’知识点要求。","options":[{"id":"A","content":"20人"},{"id":"B","content":"24人"},{"id":"C","content":"26人"},{"id":"D","content":"30人"}]},{"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":232,"content":"某学生在解方程 3x + 5 = 20 时,第一步将等式两边同时减去5,得到 3x = _。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"15","explanation":"根据等式的基本性质,等式两边同时减去同一个数,等式仍然成立。原方程为 3x + 5 = 20,两边同时减去5,左边变为 3x + 5 - 5 = 3x,右边变为 20 - 5 = 15,因此得到 3x = 15。这是解一元一次方程的常规步骤,符合七年级数学课程内容。","options":[]},{"id":172,"content":"小明在文具店买了一支钢笔和两本笔记本,共花费18元。已知每本笔记本的价格是5元,那么这支钢笔的价格是多少元?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"根据题意,两本笔记本的总价为:2 × 5 = 10(元)。小明总共花费18元,因此钢笔的价格为:18 - 10 = 8(元)。所以正确答案是A选项。","options":[{"id":"A","content":"8元"},{"id":"B","content":"10元"},{"id":"C","content":"13元"},{"id":"D","content":"15元"}]},{"id":986,"content":"在一次班级环保活动中,某学生收集了可回收垃圾的重量记录如下:塑料瓶重0.35千克,废纸重0.48千克,易拉罐重0.27千克。他将这三类垃圾的总重量填入统计表时,发现表格中‘合计’一栏被污损,无法看清。请帮他计算出这三类垃圾的总重量是___千克。","type":"填空题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"1.10","explanation":"本题考查有理数的加法运算,属于简单难度。学生需要将三个小数相加:0.35 + 0.48 + 0.27。计算时注意小数点对齐,从低位逐位相加。0.35 + 0.48 = 0.83,0.83 + 0.27 = 1.10。因此,三类垃圾的总重量是1.10千克。题目结合环保情境,贴近生活,帮助学生理解有理数在现实中的应用。","options":[]},{"id":427,"content":"某学生在整理班级同学的课外阅读情况时,随机抽取了20名学生进行调查,记录他们每周课外阅读的小时数如下:3, 5, 4, 6, 3, 7, 5, 4, 6, 5, 3, 4, 6, 7, 5, 4, 3, 5, 6, 4。如果该学生想用一个统计量来代表这组数据的集中趋势,并且希望这个值能反映大多数学生的阅读时间,那么他应该选择以下哪个统计量?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"C","explanation":"题目要求选择一个能反映‘大多数学生’阅读时间的统计量,即关注数据中出现次数最多的值。观察数据:3出现4次,4出现5次,5出现5次,6出现4次,7出现2次。其中4和5都出现了5次,是出现频率最高的数值,因此众数为4和5(双众数)。众数正是用来描述数据集中出现最频繁的数值,最能体现‘大多数’的情况。而平均数受所有数据影响,中位数是中间值,极差反映的是数据波动范围,均不能直接体现‘大多数’的集中趋势。因此正确答案是C。","options":[{"id":"A","content":"平均数"},{"id":"B","content":"中位数"},{"id":"C","content":"众数"},{"id":"D","content":"极差"}]},{"id":1905,"content":"某次环保活动中,某学生收集了若干废旧电池。第一天他收集了总数的1\/3,第二天收集了剩下的1\/2,此时还剩下24节电池未收集。请问他一共需要收集多少节废旧电池?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"C","explanation":"设总共需要收集的废旧电池数量为x节。第一天收集了总数的1\/3,即(1\/3)x,剩下(2\/3)x。第二天收集了剩下部分的1\/2,即(1\/2)×(2\/3)x = (1\/3)x。此时总共已收集(1\/3)x + (1\/3)x = (2\/3)x,剩余部分为x - (2\/3)x = (1\/3)x。根据题意,剩余24节,因此(1\/3)x = 24,解得x = 72。故正确答案为C。","options":[{"id":"A","content":"48"},{"id":"B","content":"60"},{"id":"C","content":"72"},{"id":"D","content":"96"}]},{"id":16,"content":"中国历史上第一个统一的中央集权制国家是?","type":"选择题","subject":"历史","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"秦朝是中国历史上第一个统一的中央集权制国家,建立者是秦始皇嬴政。","options":[{"id":"A","content":"夏朝"},{"id":"B","content":"秦朝"},{"id":"C","content":"汉朝"},{"id":"D","content":"唐朝"}]},{"id":524,"content":"某学生调查了班级同学每天使用手机的时间(单位:小时),并将数据整理如下:2,3,1,4,2,5,2,3,1,2。如果将这些数据按从小到大的顺序排列,位于中间位置的数是这组数据的中位数。那么这组数据的中位数是多少?","type":"选择题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"A","explanation":"首先将数据按从小到大的顺序排列:1,1,2,2,2,2,3,3,4,5。共有10个数据,是偶数个,因此中位数是中间两个数的平均数。中间两个数是第5个和第6个,都是2,所以中位数为 (2 + 2) ÷ 2 = 2。因此正确答案是A。","options":[{"id":"A","content":"2"},{"id":"B","content":"2.5"},{"id":"C","content":"3"},{"id":"D","content":"3.5"}]},{"id":2222,"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℃;第二天又下降了5℃,应记作____℃。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"-5","explanation":"根据正负数表示相反意义的量的知识点,气温上升用正数表示,下降则用负数表示。下降了5℃,应记作-5℃,符合七年级正负数在实际生活中的应用要求。","options":[]}]