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30件。已知每张废旧纸张可兑换0.2元,每个塑料瓶可兑换0.5元,该学生共获得10.8元。若设废旧纸张有x张,则可列出一元一次方程为:____ + 0.5(30 - x) = 10.8
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首先计算总人数:5 + 8 + 12 + 15 + 10 = 50(人)。
成绩在80分及以上的人数包括80—89和90—100两个分数段,共15 + 10 = 25(人)。
所求百分比为:25 ÷ 50 × 100% = 50%。
因此,正确答案是C选项。
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[{"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":521,"content":"某学生在整理班级同学的身高数据时,随机抽取了10名同学的身高(单位:厘米),分别为:152, 155, 158, 160, 162, 163, 165, 168, 170, 172。如果他想用这组数据估算全班同学的平均身高,那么这组数据的平均数最接近以下哪个数值?","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"B","explanation":"要计算这组数据的平均数,需将所有身高相加后除以人数。计算过程如下:152 + 155 + 158 + 160 + 162 + 163 + 165 + 168 + 170 + 172 = 1625。然后将总和1625除以10人,得到平均数为162.5厘米。题目要求选择最接近的数值,162.5最接近162,因此正确答案是B。本题考查的是数据的收集、整理与描述中的平均数计算,属于简单难度,符合七年级数学课程要求。","options":[{"id":"A","content":"160"},{"id":"B","content":"162"},{"id":"C","content":"164"},{"id":"D","content":"166"}]},{"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":1082,"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0.8千克,废纸1.2千克,金属罐0.5千克。如果每千克可回收物可获得2元奖励,那么该学生一共可以获得______元奖励。","type":"填空题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"5","explanation":"首先计算该学生收集的可回收垃圾总重量:0.8 + 1.2 + 0.5 = 2.5(千克)。然后根据每千克可获得2元奖励,计算总奖励金额:2.5 × 2 = 5(元)。本题考查有理数的加减与乘法在实际问题中的应用,属于简单难度的综合运算题。","options":[]},{"id":3,"content":"二元一次方程组{x + y = 5, 2x - y = 1}的解是?","type":"选择题","subject":"数学","grade":"初二","stage":"初中","difficulty":"中等","answer":"C","explanation":"使用加减消元法,将两个方程相加消去y:(x + y) + (2x - y) = 5 + 1,得到3x = 6,解得x = 2。将x = 2代入第一个方程:2 + y = 5,解得y = 3。","options":[{"id":"A","content":"x = 1, y = 4"},{"id":"B","content":"x = 3, y = 2"},{"id":"C","content":"x = 2, y = 3"},{"id":"D","content":"x = 4, y = 1"}]},{"id":1917,"content":"某班级进行了一次数学测验,成绩分布如下表所示。若将成绩分为“优秀”(90分及以上)、“良好”(75~89分)、“及格”(60~74分)和“不及格”(60分以下)四个等级,则成绩为“良好”的学生人数占总人数的百分比是多少?\n\n| 分数段 | 人数 |\n|--------------|------|\n| 90~100 | 8 |\n| 75~89 | 12 |\n| 60~74 | 6 |\n| 60以下 | 4 |","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"简单","answer":"B","explanation":"首先计算总人数:8 + 12 + 6 + 4 = 30(人)。成绩为“良好”(75~89分)的学生有12人。因此,“良好”等级所占百分比为:(12 ÷ 30) × 100% = 40%。故正确答案为B。","options":[{"id":"A","content":"30%"},{"id":"B","content":"40%"},{"id":"C","content":"50%"},{"id":"D","content":"60%"}]},{"id":436,"content":"3","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":976,"content":"某学生测量教室地面的长方形区域,测得长为 (2x + 3) 米,宽为 (x - 1) 米,若该区域的周长为 26 米,则 x 的值为 ___。","type":"填空题","subject":"数学","grade":"初一","stage":"小学","difficulty":"简单","answer":"11\/3","explanation":"长方形的周长公式为:周长 = 2 × (长 + 宽)。根据题意,长为 (2x + 3) 米,宽为 (x - 1) 米,周长为 26 米。代入公式得:2 × [(2x + 3) + (x - 1)] = 26。先化简括号内:2x + 3 + x - 1 = 3x + 2。然后计算:2 × (3x + 2) = 6x + 4。列方程:6x + 4 = 26。解方程:6x = 22,x = 22 ÷ 6 = 11\/3。因此,x 的值为 11\/3。","options":[]},{"id":636,"content":"在一次环保活动中,某学校七年级学生共收集了120千克废纸。其中,A班收集的废纸比B班多10千克,且两班收集的废纸总量正好是全年级收集量的一半。设B班收集的废纸为x千克,则根据题意可列方程为:","type":"选择题","subject":"数学","grade":"初一","stage":"初中","difficulty":"简单","answer":"A","explanation":"题目中说明A班比B班多收集10千克,B班收集了x千克,则A班收集了(x + 10)千克。两班共收集的废纸是全年级的一半,全年级共收集120千克,因此两班共收集120 ÷ 2 = 60千克。所以可列方程:x + (x + 10) = 60。选项A正确。选项B错误地将总量设为120;选项C错误地将A班的收集量表示为10x;选项D虽然表达式正确,但等式右边应为60而非120。","options":[{"id":"A","content":"x + (x + 10) = 60"},{"id":"B","content":"x + (x - 10) = 120"},{"id":"C","content":"x + 10x = 60"},{"id":"D","content":"x + (x + 10) = 120"}]},{"id":1965,"content":"某学生在研究自家花园中不同种类花卉的生长高度时,记录了5种花卉的平均高度(单位:厘米):18.4, 22.6, 19.8, 25.2, 21.0。为了更清晰地比较这些数据,该学生决定将这些高度数据四舍五入到最近的整数后,再计算新数据集的极差。请问四舍五入后的数据极差是多少?","type":"选择题","subject":"数学","grade":"七年级","stage":"初中","difficulty":"中等","answer":"B","explanation":"本题考查数据的收集、整理与描述中对数据的近似处理及极差的计算。首先将原始数据四舍五入到最近的整数:18.4 → 18,22.6 → 23,19.8 → 20,25.2 → 25,21.0 → 21。得到新数据集:18, 20, 21, 23, 25。极差是最大值与最小值之差,即25 - 18 = 7。因此,正确答案为B。","options":[{"id":"A","content":"6"},{"id":"B","content":"7"},{"id":"C","content":"8"},{"id":"D","content":"9"}]}]