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- MathToF/0.json +14 -0
- MathToF/1.json +14 -0
- MathToF/10.json +14 -0
- MathToF/100.json +14 -0
- MathToF/101.json +14 -0
- MathToF/102.json +14 -0
- MathToF/103.json +14 -0
- MathToF/104.json +14 -0
- MathToF/105.json +14 -0
- MathToF/106.json +14 -0
- MathToF/107.json +14 -0
- MathToF/108.json +14 -0
- MathToF/109.json +14 -0
- MathToF/11.json +14 -0
- MathToF/110.json +14 -0
- MathToF/111.json +14 -0
- MathToF/112.json +14 -0
- MathToF/113.json +14 -0
- MathToF/114.json +14 -0
- MathToF/115.json +14 -0
- MathToF/116.json +14 -0
- MathToF/117.json +14 -0
- MathToF/118.json +14 -0
- MathToF/119.json +14 -0
- MathToF/12.json +14 -0
- MathToF/120.json +14 -0
- MathToF/121.json +14 -0
- MathToF/122.json +14 -0
- MathToF/123.json +14 -0
- MathToF/124.json +14 -0
- MathToF/125.json +14 -0
- MathToF/126.json +14 -0
- MathToF/127.json +14 -0
- MathToF/128.json +14 -0
- MathToF/129.json +14 -0
- MathToF/13.json +14 -0
- MathToF/130.json +14 -0
- MathToF/131.json +14 -0
- MathToF/132.json +14 -0
- MathToF/133.json +14 -0
- MathToF/134.json +14 -0
- MathToF/135.json +14 -0
- MathToF/136.json +14 -0
- MathToF/137.json +14 -0
- MathToF/138.json +14 -0
- MathToF/139.json +14 -0
- MathToF/14.json +14 -0
- MathToF/140.json +14 -0
- MathToF/141.json +14 -0
- MathToF/142.json +14 -0
MathToF/0.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "分子和分母是不同的质数,这个分数一定是最简分数"
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},
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"quest_ref": {
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"texts": [
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"True"
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],
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"analyses": [
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"最简分数的意义:分子分母是互质数的分数就是最简分数,据此分析判断."
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]
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}
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}
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MathToF/1.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "长方体的棱长之和是18米,从一个顶点出发的三条棱长度之和是45分米"
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},
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"quest_ref": {
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"texts": [
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"True"
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],
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"analyses": [
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"在长方体中从一个顶点出发的三条棱的长度分别叫做长、宽、高,根据长方体的棱长总和=(长+宽+高)×4,所以用棱长总和除以4即可求出长、宽、高的和.据此解答."
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]
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}
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}
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MathToF/10.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "面朝北方时,你的左手边是西方。"
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},
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"quest_ref": {
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"texts": [
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"True"
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],
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"analyses": [
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"根据方向的初步认识相关知识点。上北下南左西右东,当面朝北方时,后面是南,左面是西,右面是东。"
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]
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}
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}
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MathToF/100.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "294-86+14=294-100"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"294-86+14按照从左到右的顺序计算出结果,再与294-100的结果比较即可判断."
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]
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}
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}
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MathToF/101.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "中央电视台的《新闻联播》节目在每天的19时首播"
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},
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"quest_ref": {
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"texts": [
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"True"
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],
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"analyses": [
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"中央电视台每天首次‘新闻联播‘的开始时间是晚上7:00,用24时计时法表示是19时,即可得解."
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]
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}
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}
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MathToF/102.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "一个正方体的棱长是6厘米,它的表面积和体积相等"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"正方体的表面积是指它的6个面的总面积;正方体的体积是指它所占空间的大小;正方体的表面积和体积单位不相同,没法比较它们的大小,由此判断即可."
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]
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}
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}
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MathToF/103.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "\\frac{12}{16}的分子增加6,要使分数大小不变,分母也应增加6"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"根据分数性质的内容,直接进行填空解答."
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]
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}
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}
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MathToF/104.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "一个等腰三角形的一个底角是a度,它的顶角是(180-2a)度."
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},
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"quest_ref": {
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"texts": [
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"True"
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],
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"analyses": [
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"分析:根据根据三角形的内角和是180°,两个底角相等,然后用180°减去两个a°,就是顶角,然后判断即可. 解答:180-a×2, =180-2a(度); 故答案为:正确. 点评:本题考查了三角形的内角和定理和等腰三角形的特征."
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]
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}
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}
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MathToF/105.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "有8颗外观相同的珍珠,其中有一颗是次品(次品比正品略轻),用天平至少称3次才能保证找出次品"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"把8个球分成(3,3,2)三组,把两个3个一组的放在天平上称,如平衡,则次品在2个的一组中,把这2个球分成(1,1),放在天平上称,上跷的是次品.如不平衡,则把上跷的一组3个球分成(1,1,1),任意两个放在天平上称,如平衡,没称的是次品,如不平衡,上跷的是次品.据此解答."
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]
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}
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}
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MathToF/106.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "一个战士实弹射击,12发子弹全部命中,命中率是120%"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"命中率是指命中的次数占总次数的百分数,计算方法是:命中率= \\frac{命中次数}{总次数}×100%,由此求出命中率,再与120%比较即可判断."
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]
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}
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}
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MathToF/107.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "因为 \\frac{4}{3}× \\frac{3}{5}× \\frac{5}{4}=1,所以 \\frac{4}{3}、 \\frac{3}{5}、 \\frac{5}{4}互为倒数"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"根据倒数的意义:乘积是1的两个数互为倒数.说明互为倒数的是两个数,不是三个数,据此判断即可."
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]
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}
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}
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MathToF/108.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "一个因数扩大到原来的10倍,另一个因数也扩大到原来的10倍,它们的积就扩大到原来的20倍。"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"一个因数扩大到原来的10倍,另一个因数也扩大到原来的10倍,积就扩大10*10=100倍,原题目说法错误"
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]
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}
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}
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MathToF/109.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "五芳做10道题,做完的题和没有做的题成反比例"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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"analyses": [
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"判断两个相关联的量之间成什么比例,就看这两个量是对应的比值一定,还是对应的乘积一定;如果是比值一定,就成正比例;如果是乘积一定,则成反比例."
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]
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}
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}
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MathToF/11.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "从正面观察两组立体图形,看到的形状相同,但摆法可能不同"
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},
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"quest_ref": {
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"texts": [
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"True"
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],
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"analyses": [
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"从正面观察两组立体图形时,看到的形状可以相同,但是在几何体的后面视线挡住的地方,则可以任意的改变形状.比如,分别用1个和2个小正方体摆放几何体,用1个时从正面看是1个小正方形,用2个时只要一前一后摆放,从正面看到的仍然是1个小正方形,据此即可判断."
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]
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}
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}
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MathToF/110.json
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{
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"qtype": "JUDGE",
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"quest_stem": {
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"text": "\\frac{5}{9}×8+2=(8+2)× \\frac{5}{9}"
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},
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"quest_ref": {
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"texts": [
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"False"
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],
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| 10 |
+
"analyses": [
|
| 11 |
+
"乘法分配律的逆运算:一个数乘另一个数的积加它本身乘另一个数的积,可以把另外两个数加起来再乘这个数.如ac+bc=a×(b+c),本题错用了乘法的分配律,只能先算乘法再算加法."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/111.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "循环小数都是无限小数,无限小数都是循环小数"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"本题考查的学生对无限小数概念的掌握情况,无限小数包括循环小数和无限不循环小数,"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/112.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
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|
|
|
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|
|
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|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "一个数与231相加,和是841,求这个数,列式是231+841"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"根据减法的意义,已知和与其中的一个加数,求另一个加数,用减法列式,即用和减去这个已知的加数,据此即可判断."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/113.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "两个一样正方形可以拼成一个更大的正方形。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"两个一样的正方形拼成的图形如下: 只能拼成一个长方形,不能拼成一个正方形,只有至少4个完全一样的正方形才能拼成一个大正方形. 故答案为:×。"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/114.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
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|
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|
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|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "冬冬发现自己的影子在东面,那么现在太阳在西面"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"发现自己的影子在东面,说明是下午,太阳在西方,下午面对太阳,也就是面对西方,我们的影子就在东方,据此解答即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/115.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "一超市的营业时间从早上8:00到晚上8:00,一天的营业时间共是12小时"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"首先把时间化成24时计时法来表示,然后用营业结束时间减去营业开始时间,即可得解."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/116.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "最大的三位数比最小的四位数少10。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"最大的三位数是999,最小的四位数是1000,计算判断即可。 1000-999=1,所以最大的三位数比最小的四位数少10说法错误。 故答案为:×。"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/117.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "三个连续自然数的和一定是3的倍数."
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"设三个连续自然数中的第一个为a,则三个连续自然数的和为: a+(a+1)+(a+2)=3×(a+1). 所以,所以三个连续自然数的和一定是3的倍数. 正确. 设三个连续自然数中的第一个为a,由这三个连续的自然数可表示为a、a+1,a+2.其和为:a+(a+1)+(a+2)=3×(a+1),所以三个连续自然数的和一定是3的倍数."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/118.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "一个长方体蓄水池长8米、宽4米、深2米,这个蓄水池占地面积是32平方米。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"占地面积就是底面积,即:8×4=32平方米,根据此判断即可。"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/119.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "计算大面积的土地面积时用平方千米作单位,边长是1000米的正方形土地,面积是1平方千米。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"根据1平方千米=1000000平方米,解答此题即可。 1000×1000=1000000(平方米) 1000000平方米=1平方千米 所以计算大面积的土地面积时用平方千米作单位,边长是1000米的正方形土地,面积是1平方千米,这句话是正确的。 故答案为:√。"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/12.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "加工一批零件,有100个合格零件,2个不合格零件,那么不合格率是2%"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"理解不合格率,不合格率是指不合格的零件个数占零件总个数的百分之几,计算方法为: \\frac{不合格的零件个数}{零件总个数}×100%=不合格率,由此列式解答即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/120.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "\\frac{1}{4}:1.5化成最简整数比是6:1,比值是6"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"(1)根据比的基本性质,即比的前项和后项同时乘或除以一个相同的数(0除外)比值不变,进而把比化成最简比; (2)根据求比值的方法,就用最简比的前项除以后项即得比值."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/121.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "假分数大于它的倒数"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"在分数中,分子大于或等于分母的分数为假分数.乘积为1的两个数互为倒数.由此可知,当分子大于分母时,假分数大于它的倒数,当分子等于分母时,假分数等于它的倒数."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/122.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
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|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "边长是4米的正方形,它的周长和面积相等。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"试题分析:周长和面积的单位不同,不能比较大小。 点评:"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/123.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "一个等腰三角形的一个底角是a度,这个三角形的顶角是90-a度"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"已知等腰三角形的一个底角是a度,因为等腰三角形的两底角相等,根据三角形内角和是180度,用‘180-a×2‘解答即可得到顶角度数;据此解答判断即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/124.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
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|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "8.50元与8张1元和5张1角相等。()"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"8张1元和5张1角是8.50元,所以与8.50元相等,原说法正确"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/125.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "一百万一百万地数,数十次是一亿."
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"分析:根据相邻的两个计数单位间的进率是‘十‘,百万和千万,是两个相邻的计数单位,它们的进率都是‘十‘,而百万和亿不是相邻的计数单位,它们之间的进率不是‘十‘;由此求解. 解答:一百万一百万地数,数十次是一千万,数一百次是一亿. 故答案为:错误. 点评:此题考查十进制计数法,每相邻的两个计数单位间的进率是‘十‘."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/126.json
ADDED
|
@@ -0,0 +1,14 @@
|
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|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "3米的\\frac{1}{4}和1米的\\frac{3}{4}相等。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"3× \\frac{1}{4}= \\frac{3}{4}(米)1× \\frac{3}{4}= \\frac{3}{4}(米) \\frac{3}{4}= \\frac{3}{4} 所以,3米的 \\frac{1}{4}等于1米的 \\frac{3}{4}。"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/127.json
ADDED
|
@@ -0,0 +1,14 @@
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|
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|
|
|
|
|
|
|
|
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|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "3米的 \\frac{1}{4}和1米的 \\frac{3}{4}相等"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"分别把3米、1米看作单位‘1‘,根据一个数乘分数的意义,用乘法分别求出3米的 \\frac{1}{4}和1米的 \\frac{3}{4},然后进行比较即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/128.json
ADDED
|
@@ -0,0 +1,14 @@
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|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "\\frac{4}{15}÷ \\frac{2}{3}也可以这样算 \\frac{4}{15}÷ \\frac{2}{3}= \\frac{4÷2}{15÷3}= \\frac{2}{5}"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"分数除以分数,也可以用分母除以分母的商作分母,分子除以分子的商作分子,依此计算即可求解."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/129.json
ADDED
|
@@ -0,0 +1,14 @@
|
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|
|
|
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|
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|
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|
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|
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|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "面朝南方时,你的左手边是西方。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"根据方向的初步认识相关知识点。根据上北下南左西右东,面朝南方,后面是北方,左边是东方,右边是西方。"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/13.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "3862004读作:三百八十六万二千零零四"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"这是一个七位数,最高位百万位上是3,十万位上是8,万位上是6,千位上是2,个位上是4,其余位上都是0,读这个数时,从高位到低位,一级一级地读,每一级末尾的0都不读出来,其余数位连续几个0都只读一个零,由此得出这个数的读法,从而判断."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/130.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
|
|
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|
|
|
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|
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|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "‘92‘中的‘9‘在个位上 ‘2‘在十位上。"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"9在十位上,2在个位上,原说法错误"
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/131.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
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|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "把2块棱长都为2厘米的正方体拼成一个长方体,表面积增加了8平方厘米"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"由合拼图形的特征可知拼成一个长方体比2块棱长都为2厘米的正方体少了2个正方形的面,依此即可作出判断."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/132.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
|
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|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "女生与男生的人数比是5:6,表示女生比男生少 \\frac{1}{11}"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"假设女生有5人,那么男生就有6人,先求出女生比男生少(6-5)人,把男生人数看作单位‘1‘,然后根据求一个数是另一个数的几分之几用除法计算得出,进而进行比较,得出结论."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/133.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
|
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|
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|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "如果a× \\frac{1}{2}=b÷ \\frac{1}{4}(a、b都大于0),那么a<b"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"本题可先将式中的除法算式变为乘法算式后,根据在积一个的情况下,其中一个因数越大,则另一个因数越小的乘法性质判断."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/134.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
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|
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|
|
|
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|
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|
|
|
|
|
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|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "因为2+2=2×2=\\( 2^{2} \\),所以b+b=\\( b^{2} \\)"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"b+b表示两个2相加,而\\( b^{2} \\)表示两个2相乘,它们的意义不同,所以结果也就不一定相等;所以2+2=2×2=\\( 2^{2} \\),这只是一个特殊例子,据此判断为错误."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/135.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
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|
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|
|
|
|
|
|
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|
|
|
|
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|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "三千四百零九万七千二百,用四舍五入法精确到万位是3410"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"首先根据多位数的写法,写出这个数,省略四舍五入到万,根据千位上数字的大小确定用‘四舍‘法、还是用‘五入‘法.省略尾数后,同时在后面写上‘万‘字."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/136.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
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|
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|
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|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "一个正方体的玻璃鱼缸,棱长是2分米,制作这个鱼缸至少需要玻璃24dm2"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"制作这个鱼缸至少需要的玻璃就是求这个正方体的5个面的面积和,根据求正方体表面积方法求解,即可判断."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/137.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
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|
|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "295×59的乘积大约是1500. ."
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"试题分析:根据估算的方法,295估算时看作300,59估算时看作60,据此解答即可. 解:根据估算的方法得: 295×59≈300×60=18000. 故答案为:×."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/138.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
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|
|
|
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|
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|
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|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "棱长是6厘米的正方体表面积和体积相等"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"因为正方体的表面积和体积单位不相同,没法比较它们的大小, 所以原题说法是错误的. 错误. 正方体的表面积和体积单位不相同,没法比较它们的大小,由此就解决即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/139.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
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|
|
|
|
|
|
|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "两个奇数的和一定是偶数,两个奇数的积一定是奇数"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"1根据奇数和偶数的性质:两个偶数的和或差仍是偶数,两个奇数的和或差也是偶数,奇数和偶数的和或差是奇数; 2不能被2整数的数为奇数,则奇数中一定不含有因数2,所以两个奇数的积中也一定不含有因数2,所以两个奇数的积一定是奇数,解答即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/14.json
ADDED
|
@@ -0,0 +1,14 @@
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
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|
|
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|
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|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "0.1和0.3之间只有一个小数"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"根据小数大小比较的方法,0.1和0.3之间的一位小数有0.2,0.1和0.3之间的两位小数有:0.11、0.12、0.13、…,0.1和0.3之间的三位小数有:0.111、0.121、0.131、…,…,所以小数0.1和0.3之间有无数个小数,据此解答即可."
|
| 12 |
+
]
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| 13 |
+
}
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| 14 |
+
}
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MathToF/140.json
ADDED
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@@ -0,0 +1,14 @@
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| 1 |
+
{
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| 2 |
+
"qtype": "JUDGE",
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| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "为了清楚地展示冰箱全年的变化趋势,用折线统计图更合适"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"条形统计图能很容易看出数量的多少;折线统计图不仅容易看出数量的多少,而且能反映数量的增减变化情况;扇形统计图能反映部分与整体的关系;由此根据情况选择即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/141.json
ADDED
|
@@ -0,0 +1,14 @@
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|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "要反映某食品中各种营养成份的含量,最好选用条形统计图"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"False"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"条形统计图能很容易看出数量的多少;折线统计图不仅容易看出数量的多少,而且能反映数量的增减变化情况;扇形统计图能反映部分与整体的关系;由此判断即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|
MathToF/142.json
ADDED
|
@@ -0,0 +1,14 @@
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|
| 1 |
+
{
|
| 2 |
+
"qtype": "JUDGE",
|
| 3 |
+
"quest_stem": {
|
| 4 |
+
"text": "绘制统计图时,要清楚的表示数量增减变化情况,应该选用折线统计图"
|
| 5 |
+
},
|
| 6 |
+
"quest_ref": {
|
| 7 |
+
"texts": [
|
| 8 |
+
"True"
|
| 9 |
+
],
|
| 10 |
+
"analyses": [
|
| 11 |
+
"首先要清楚每一种统计图的特点:条形统计图能很容易看出数量的多少;折线统计图不仅容易看出数量的多少,而且能反映数量的增减变化情况;扇形统计图能反映部分与整体的关系;据此判断即可."
|
| 12 |
+
]
|
| 13 |
+
}
|
| 14 |
+
}
|