diff --git a/备课组/26届/lessons.json b/备课组/26届/lessons.json index 535ad0c2..ffc9ebb4 100644 --- a/备课组/26届/lessons.json +++ b/备课组/26届/lessons.json @@ -471,8 +471,7 @@ "examples_basic": [ "011810", "011811", - "010066", - "010067", + "019834", "011812", "011814" ], @@ -481,21 +480,18 @@ "020179" ], "work_inclass": [ - "010178", - "010080", "010081", - "009454", - "010068" + "009454" ], "homework": [ "009453", "009458", - "010069", "020137", "020139", "020140", + "020142", "020141", - "020142" + "010080" ], "remarks": "" }, @@ -511,15 +507,11 @@ "B00092" ], "examples_basic": [ - "011815", - "011816", "011817", - "011818", + "019835", "011819", - "011820", - "019284", - "011821", - "019285" + "019285", + "011816" ], "examples_adv": [ "019286" @@ -527,22 +519,17 @@ "work_inclass": [ "009456", "009457", - "010072", - "010073", "010082" ], "homework": [ + "010072", "010076", "020145", - "020146", - "020147", + "019836", "020150", - "020152", "020156", - "020157", - "020158", - "020180", - "020182" + "020182", + "020158" ], "remarks": "" }, @@ -560,30 +547,27 @@ "examples_basic": [ "011823", "011824", - "011825" + "011825", + "019287" ], "examples_adv": [ - "019287", "019288" ], "work_inclass": [ "009459", - "011826", - "011827", - "011828" + "011827" ], "homework": [ - "009460", - "010087", - "010088", - "020149", - "020151", "020153", + "009460", "020155", - "020159", - "020160", "020181", - "020183" + "010088", + "011826", + "020151", + "020159", + "020160" + ], "remarks": "" }, @@ -612,20 +596,16 @@ ], "work_inclass": [ "010077", - "010084", "010085", "011834" ], "homework": [ "009461", - "020161", "020164", "020165", "020166", - "020167", "020184", "019291", - "019292", "019293", "019294" ], diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index f93cc76d..097f6ef4 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -142786,7 +142786,9 @@ "20220720\t王伟叶" ], "same": [], - "related": [], + "related": [ + "019835" + ], "remark": "", "space": "4em", "unrelated": [] @@ -270061,7 +270063,8 @@ ], "same": [], "related": [ - "020138" + "020138", + "019834" ], "remark": "", "space": "4em", @@ -510104,6 +510107,171 @@ "space": "4em", "unrelated": [] }, + "019831": { + "id": "019831", + "content": "已知$\\alpha,\\beta$是方程$2x^2-\\sqrt{15}x+1=0$的两根, 则$|\\alpha-\\beta|$的值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230918\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019832": { + "id": "019832", + "content": "已知$x,y$是正实数, 则下列条件中, ``$x\\le y$''的必要条件为\\bracket{20}.\n\\fourch{$x+\\dfrac{2}{y}\\le y+\\dfrac{1}{x}$}{$x+\\dfrac{1}{2y}\\le y+\\dfrac{1}{x}$}{$x-\\dfrac{2}{y}\\le y-\\dfrac{1}{x}$}{$x-\\dfrac{1}{2y}\\le y-\\dfrac{1}{x}$}", + "objs": [], + "tags": [], + "genre": "选择题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "自拟题目", + "edit": [ + "20230918\t赵琍琍" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "019833": { + "id": "019833", + "content": "已知三角形的三边长分别为$a,b,c$. 设$M=\\dfrac{a}{1+a}+\\dfrac{b}{1+b}$, $N=\\dfrac{c}{1+c}$, $Q=\\dfrac{a+b}{1+a+b}$, 则$M,N,Q$的大小关系为\\bracket{20}.\n\\fourch{$Mx+m^3$.", + "objs": [ + "K0112001B" + ], + "tags": [ + "第一单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "新教材必修第一册习题-20230918修改", + "edit": [ + "20220806\t王伟叶", + "20230918\t王伟叶" + ], + "same": [], + "related": [ + "020138", + "010067" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019835": { + "id": "019835", + "content": "解下列不等式:\\\\\n(1) $6x^2-5x-1>0$;\\\\\n(2) $6x^2-5x-1<0$.", + "objs": [ + "K0114001B" + ], + "tags": [ + "第一单元" + ], + "genre": "4em", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "代数精编第二章不等式-20230918修改", + "edit": [ + "20220720\t王伟叶", + "20230918\t王伟叶" + ], + "same": [], + "related": [ + "004912" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019836": { + "id": "019836", + "content": "已知$a\\in \\mathbf{R}$, 求关于$x$的不等式 $x^2-(a+1)^2x+2a(a^2+1)<0$的解集.", + "objs": [], + "tags": [ + "第一单元" + ], + "genre": "4em", + "ans": "当$a=1$时, 解集为$\\varnothing$; 当$a\\ne 1$时, 解集为$(2a,a^2+1)$", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一校本作业必修第二章-20230918修改", + "edit": [ + "20220901\t王伟叶\t伍杨超", + "20230918\t王伟叶" + ], + "same": [], + "related": [ + "020147" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "019837": { + "id": "019837", + "content": "若关于$x$的不等式$(a^2-1)x^2+2ax-1>0$有实数解, 求$a$的取值范围.", + "objs": [], + "tags": [ + "第一单元" + ], + "genre": "4em", + "ans": "$", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高一校本作业必修第二章-20230918修改", + "edit": [ + "20220901\t王伟叶\t伍杨超", + "20230918\t王伟叶" + ], + "same": [], + "related": [ + "020160" + ], + "remark": "", + "space": "4em", + "unrelated": [] + }, "020001": { "id": "020001", "content": "判断下列各组对象能否组成集合, 若能组成集合, 指出是有限集还是无限集.\\\\\n(1) 上海市控江中学$2022$年入学的全体高一年级新生;\\\\\n(2) 中国现有各省的名称;\\\\\n(3) 太阳、$2$、上海市;\\\\\n(4) 大于$10$且小于$15$的有理数;\\\\\n(5) 末位是$3$的自然数;\\\\\n(6) 影响力比较大的中国数学家;\\\\\n(7) 方程$x^2+x-3=0$的所有实数解;\\\\ \n(8) 函数$y=\\dfrac 1x$图像上所有的点;\\\\ \n(9) 在平面直角坐标系中, 到定点$(0, 0)$的距离等于$1$的所有点;\\\\\n(10) 不等式$3x-10<0$的所有正整数解;\\\\\n(11) 所有的平面四边形.", @@ -514554,7 +514722,9 @@ "20220901\t王伟叶\t伍杨超" ], "same": [], - "related": [], + "related": [ + "019836" + ], "remark": "", "space": "4em", "unrelated": [] @@ -514856,7 +515026,9 @@ "20220901\t王伟叶\t伍杨超" ], "same": [], - "related": [], + "related": [ + "019837" + ], "remark": "", "space": "4em", "unrelated": []