diff --git a/工具/文本文件/metadata.txt b/工具/文本文件/metadata.txt index 8d061f25..84e3f980 100644 --- a/工具/文本文件/metadata.txt +++ b/工具/文本文件/metadata.txt @@ -1,66 +1,65 @@ ans +40605 +$6$ -15248 -$\sqrt{10}$ +40606 +$90$ -15249 -$(0,+\infty)$ +40607 +$10$ -15250 -$11$ +40608 +$15$ -15251 -$-10$ +40609 +$24$ -15252 -$-\sin(x-\dfrac\pi 3)$ +40610 +$(0,\dfrac{9\sqrt{2}-2}4]$ -15253 -$-1$ +40611 +$540$ -15254 -$112$ +40612 +$\dfrac{16\pi}3$ -15255 -$5$ +40613 +$35$ -15256 -$2\sqrt{2}$ +40614 +\textcircled{2}\textcircled{4} -15257 -$(0,\dfrac{4}{\mathrm{e}^2})$ +40615 +$[6,+\infty)$ -15258 -$17$ +40616 +$\log_2 \mathrm{e}$ -15259 -$8$ +40617 +C -15260 +40618 A -15261 +40619 D -15262 -D - -15263 +40620 B -15264 -(1) $y=1$; (2) 最大值为$\mathrm{e}-1$, 最小值为$1$ +40621 +(1) $\dfrac{\sqrt{10}}{10}$; (2) $\dfrac{3\sqrt{5}}{5}$ -15265 -(1) $\arcsin\dfrac{\sqrt{6}}6$; (2) $\arccos\dfrac{2\sqrt{5}}5$或$\pi-\arccos\dfrac{2\sqrt{5}}5$ +40622 +(1) $80$; (2) $1$或$-3$ -15266 -(1) 在$(0,1]$上是严格减函数, 在$[1,+\infty)$上是严格增函数; (2) $(0,\dfrac{8}{13}]\cup [\sqrt{6},+\infty)$ +40623 +(1) $\pm \sqrt{3}$; (2) 存在, 点$M$的坐标为$(-3,0)$ -15267 -(1) $43956$; (2) $4^{99}$; (3) 当$m\in (12,\dfrac{243}{19})$时, 最大项为第$81$项; 当$m=\dfrac{243}{19}$时, 最大项为第$81$项与第$82$项; 当$m\in (\dfrac{243}{19},13)$时, 最大项为第$82$项 +40624 +(1) $\dfrac{x^2}4+y^2=1$; (2) $k=\pm 2$; (3) 定值为$\dfrac 23$, 证明略 -15268 -(1) $M(0,1-a,0)$, $N(\lambda a,0,0)$, $Q(\lambda,1,1)$; (2) $\lambda = \dfrac{2\sqrt{11}}{11}$; (3) 证明略 +40625 +(1) $y=-2$; (2) $k=0$或$4$; (3) $\dfrac 34-\ln 2$ diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index c4973fe7..be7f622d 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -475076,7 +475076,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$6$", "solution": "", "duration": -1, "usages": [], @@ -475095,7 +475095,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$90$", "solution": "", "duration": -1, "usages": [], @@ -475114,7 +475114,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$10$", "solution": "", "duration": -1, "usages": [], @@ -475133,7 +475133,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$15$", "solution": "", "duration": -1, "usages": [], @@ -475152,7 +475152,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$24$", "solution": "", "duration": -1, "usages": [], @@ -475171,7 +475171,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$(0,\\dfrac{9\\sqrt{2}-2}4]$", "solution": "", "duration": -1, "usages": [], @@ -475190,7 +475190,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$540$", "solution": "", "duration": -1, "usages": [], @@ -475209,7 +475209,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{16\\pi}3$", "solution": "", "duration": -1, "usages": [], @@ -475228,7 +475228,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$35$", "solution": "", "duration": -1, "usages": [], @@ -475247,7 +475247,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "\\textcircled{2}\\textcircled{4}", "solution": "", "duration": -1, "usages": [], @@ -475266,7 +475266,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$[6,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -475285,7 +475285,7 @@ "objs": [], "tags": [], "genre": "填空题", - "ans": "", + "ans": "$\\log_2 \\mathrm{e}$", "solution": "", "duration": -1, "usages": [], @@ -475304,7 +475304,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -475323,7 +475323,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -475342,7 +475342,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -475361,7 +475361,7 @@ "objs": [], "tags": [], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -475380,7 +475380,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{\\sqrt{10}}{10}$; (2) $\\dfrac{3\\sqrt{5}}{5}$", "solution": "", "duration": -1, "usages": [], @@ -475399,7 +475399,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $80$; (2) $1$或$-3$", "solution": "", "duration": -1, "usages": [], @@ -475418,7 +475418,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $\\pm \\sqrt{3}$; (2) 存在, 点$M$的坐标为$(-3,0)$", "solution": "", "duration": -1, "usages": [], @@ -475437,7 +475437,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{x^2}4+y^2=1$; (2) $k=\\pm 2$; (3) 定值为$\\dfrac 23$, 证明略", "solution": "", "duration": -1, "usages": [], @@ -475456,7 +475456,7 @@ "objs": [], "tags": [], "genre": "解答题", - "ans": "", + "ans": "(1) $y=-2$; (2) $k=0$或$4$; (3) $\\dfrac 34-\\ln 2$", "solution": "", "duration": -1, "usages": [],