diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index 70b6f471..0f6d670e 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,64 +1,64 @@ ans -15017 -$[2,3)$ +15038 +$0$ -15018 -$(0,1)$ - -15019 -$y=x^3$ - -15020 -$-1$ - -15021 -$3\cdot 2^{n-1}-1$ - -15022 -$160$ - -15023 -$\dfrac 23$ - -15024 -$n(n-1)$ - -15025 -$\dfrac\pi 3$ - -15026 -$0.004$ - -15027 +15039 $(1,2)$ -15028 -$4$ +15040 +$y=\pm \dfrac 43 x$ -15029 -B +15041 +$\dfrac\pi 4$ -15030 -A +15042 +$10$ -15031 -B +15043 +$3-\mathrm{i}$ -15032 +15044 +$-19$ + +15045 +$\dfrac 12$ + +15046 +$8$ + +15047 +$(0,\dfrac 56]$ + +15048 +$(2-\sqrt{2},3)$ + +15049 +$\sqrt{29}-2$ + +15050 +D + +15051 C -15033 -(1) 最小正周期为$\pi$, 函数在$[k\pi-\dfrac{\pi}{12},k\pi+\dfrac{5\pi}{12}]$($k\in \mathbf{Z}$)上为增函数, 在$[k\pi-\dfrac{5\pi}{12},k\pi+\dfrac{11\pi}{12}]$($k\in \mathbf{Z}$)上为减函数; (2) $[\dfrac{\sqrt{3}}2,1)$ +15052 +B -15034 -(1) $\arccos \dfrac{\sqrt{2}}4$; (2) 证明略, 距离为$\dfrac{\sqrt{15}}5$ +15053 +B -15035 -(1) $\hat{y}=11.2x-42.4$; (2) 当产量为$20$件时, 月利润的期望最大, 最大期望为$1218.4$万元. +15054 +(1) $2$; (2) $2+\dfrac 23\sqrt{3}$ -15036 -(1) 焦点为$(1,0)$, 准线为$x=-1$; (2) $20$; (3) 存在定点, 坐标为$(5,-2)$ +15055 +(1) $\arctan \dfrac 12$; (2) 证明略, 距离为$\dfrac{2\sqrt{5}}5$ -15037 -(1) $A$点在$y=1$上, $B$点不在$\Psi$的任何一条直线上; (2) $(x_0^3,+\infty)$; (3) $\Omega$的包络是曲线$y=x^3$($x>0$), $\Psi$的包络是抛物线$y=\dfrac{x^2}{4}+1$ \ No newline at end of file +15056 +(1) 分布为$\begin{pmatrix}600 & 900 \\ \dfrac 35 & \dfrac 25\end{pmatrix}$; (2) 当$n$为$600$时, $Y$的期望达到最大值, 最大值为$3000$元 + +15057 +(1) $\dfrac{x^2}{4}+y^2=1$; (2) $x^2+y^2=6-2\sqrt{5}$; (3) $\sqrt{5}-1$ + +15058 +(1) $\lambda=-1$; (2) $k=1$; (3) $(-\infty,-1)$ \ No newline at end of file diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 30cae393..468b24c3 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -370721,7 +370721,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$0$", "solution": "", "duration": -1, "usages": [], @@ -370742,7 +370742,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(1,2)$", "solution": "", "duration": -1, "usages": [], @@ -370763,7 +370763,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$y=\\pm \\dfrac 43 x$", "solution": "", "duration": -1, "usages": [], @@ -370784,7 +370784,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac\\pi 4$", "solution": "", "duration": -1, "usages": [], @@ -370805,7 +370805,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$10$", "solution": "", "duration": -1, "usages": [], @@ -370826,7 +370826,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$3-\\mathrm{i}$", "solution": "", "duration": -1, "usages": [], @@ -370847,7 +370847,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$-19$", "solution": "", "duration": -1, "usages": [], @@ -370868,7 +370868,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac 12$", "solution": "", "duration": -1, "usages": [], @@ -370889,7 +370889,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$8$", "solution": "", "duration": -1, "usages": [], @@ -370910,7 +370910,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$(0,\\dfrac 56]$", "solution": "", "duration": -1, "usages": [], @@ -370931,7 +370931,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$(2-\\sqrt{2},3)$", "solution": "", "duration": -1, "usages": [], @@ -370952,7 +370952,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{29}-2$", "solution": "", "duration": -1, "usages": [], @@ -370973,7 +370973,7 @@ "第一单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -370994,7 +370994,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -371015,7 +371015,7 @@ "第六单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -371036,7 +371036,7 @@ "第四单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -371057,7 +371057,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $2$; (2) $2+\\dfrac 23\\sqrt{3}$", "solution": "", "duration": -1, "usages": [], @@ -371078,7 +371078,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\arctan \\dfrac 12$; (2) 证明略, 距离为$\\dfrac{2\\sqrt{5}}5$", "solution": "", "duration": -1, "usages": [], @@ -371099,7 +371099,7 @@ "第八单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 分布为$\\begin{pmatrix}600 & 900 \\\\ \\dfrac 35 & \\dfrac 25\\end{pmatrix}$; (2) 当$n$为$600$时, $Y$的期望达到最大值, 最大值为$3000$元", "solution": "", "duration": -1, "usages": [], @@ -371120,7 +371120,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{x^2}{4}+y^2=1$; (2) $x^2+y^2=6-2\\sqrt{5}$; (3) $\\sqrt{5}-1$", "solution": "", "duration": -1, "usages": [], @@ -371141,7 +371141,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\lambda=-1$; (2) $k=1$; (3) $(-\\infty,-1)$", "solution": "", "duration": -1, "usages": [],