diff --git a/工具v2/文本文件/pendingmetadata.txt b/工具v2/文本文件/pendingmetadata.txt new file mode 100644 index 00000000..2faa8048 --- /dev/null +++ b/工具v2/文本文件/pendingmetadata.txt @@ -0,0 +1,2 @@ +usages + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 90ac071e..b2be774b 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -580630,7 +580630,9 @@ "edit": [ "20230101\t王伟叶" ], - "same": [], + "same": [ + "041043" + ], "related": [], "remark": "", "space": "", @@ -581945,7 +581947,9 @@ "edit": [ "20230101\t王伟叶" ], - "same": [], + "same": [ + "041046" + ], "related": [], "remark": "", "space": "4em", @@ -707280,7 +707284,9 @@ "20230101\t王伟叶", "20230321\t王伟叶" ], - "same": [], + "same": [ + "041045" + ], "related": [ "021433" ], @@ -750804,5 +750810,111 @@ "remark": "", "space": "4em", "unrelated": [] + }, + "041042": { + "id": "041042", + "content": "已知曲线 $C: f(x)=x^3+x$.\\\\\n (1) 求曲线 $C$ 在点 $(1,2)$ 处切线的方程:\\\\\n (2) 设曲线上任意一点处切线的侧斜角为 $\\alpha$, 求 $\\alpha$ 的取值范围.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高二下学期校本作业-导数", + "edit": [ + "20240224\t蔡海鸾" + ], + "same": [], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] + }, + "041043": { + "id": "041043", + "content": "曲线 $y=x \\ln x$ 上的点到直线 $x-y-2=0$ 的最短距离为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高二下学期校本作业-导数", + "edit": [ + "20240224\t蔡海鸾" + ], + "same": [ + "021395" + ], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "041044": { + "id": "041044", + "content": "已知奇函数, $f(x)=\\begin{cases}\\dfrac{\\mathrm{e}^x}{x}-1 & (x>0),\\\\h(x) & (x<0),\\end{cases}$ 则函数 $h(x)$ 的最大值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高二下学期校本作业-导数", + "edit": [ + "20240224\t蔡海鸾" + ], + "same": [], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "041045": { + "id": "041045", + "content": "已知函数 $f(x)=a x-\\ln x$, 当 $x \\in(0, \\mathrm{e})(\\mathrm{c}$ 为自然常数 $)$ 时, 函数 $f(x)$ 的最小值为 3 , 则 $a$ 的值为\\blank{50}.", + "objs": [], + "tags": [], + "genre": "填空题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高二下学期校本作业-导数", + "edit": [ + "20240224\t蔡海鸾" + ], + "same": [ + "031354" + ], + "related": [], + "remark": "", + "space": "", + "unrelated": [] + }, + "041046": { + "id": "041046", + "content": "设函数 $f(x)=t x^2+2 t^2 x+t-1$($x \\in \\mathbf{R}$, $t>0$).\\\\\n (1) 求 $f(x)$ 的最小值 $h(t)$;\\\\\n (2) 若 $h(t)<-2 t+m$ 对 $t \\in(0,2)$ 恒成立, 求实数 $m$ 的取值萢围.", + "objs": [], + "tags": [], + "genre": "解答题", + "ans": "", + "solution": "", + "duration": -1, + "usages": [], + "origin": "2025届高二下学期校本作业-导数", + "edit": [ + "20240224\t蔡海鸾" + ], + "same": [ + "021436" + ], + "related": [], + "remark": "", + "space": "4em", + "unrelated": [] } } \ No newline at end of file