diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index 47107f57..05f98cfd 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -466743,7 +466743,7 @@ "第一单元" ], "genre": "填空题", - "ans": "", + "ans": "$(1,3)$", "solution": "", "duration": -1, "usages": [], @@ -466765,7 +466765,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$4$", "solution": "", "duration": -1, "usages": [], @@ -466787,7 +466787,7 @@ "第四单元" ], "genre": "填空题", - "ans": "", + "ans": "$189$", "solution": "", "duration": -1, "usages": [], @@ -466810,7 +466810,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$-\\dfrac{3}{4}$", "solution": "", "duration": -1, "usages": [], @@ -466832,7 +466832,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$[1,+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -466854,7 +466854,7 @@ "第五单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\sqrt{5}$", "solution": "", "duration": -1, "usages": [], @@ -466876,7 +466876,7 @@ "第七单元" ], "genre": "填空题", - "ans": "", + "ans": "$-3$", "solution": "", "duration": -1, "usages": [], @@ -466898,7 +466898,7 @@ "第三单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\dfrac{\\sqrt{7}}{4}$", "solution": "", "duration": -1, "usages": [], @@ -466920,7 +466920,7 @@ "第九单元" ], "genre": "填空题", - "ans": "", + "ans": "$946$", "solution": "", "duration": -1, "usages": [], @@ -466942,7 +466942,7 @@ "第八单元" ], "genre": "填空题", - "ans": "", + "ans": "$49$", "solution": "", "duration": -1, "usages": [], @@ -466964,7 +466964,7 @@ "第二单元" ], "genre": "填空题", - "ans": "", + "ans": "$\\arccos \\dfrac{40}{41}$", "solution": "", "duration": -1, "usages": [], @@ -466986,7 +466986,7 @@ "第六单元" ], "genre": "填空题", - "ans": "", + "ans": "$9$", "solution": "", "duration": -1, "usages": [], @@ -467008,7 +467008,7 @@ "第一单元" ], "genre": "选择题", - "ans": "", + "ans": "A", "solution": "", "duration": -1, "usages": [], @@ -467030,7 +467030,7 @@ "第九单元" ], "genre": "选择题", - "ans": "", + "ans": "C", "solution": "", "duration": -1, "usages": [], @@ -467052,7 +467052,7 @@ "第三单元" ], "genre": "选择题", - "ans": "", + "ans": "D", "solution": "", "duration": -1, "usages": [], @@ -467074,7 +467074,7 @@ "第七单元" ], "genre": "选择题", - "ans": "", + "ans": "B", "solution": "", "duration": -1, "usages": [], @@ -467098,7 +467098,7 @@ "第六单元" ], "genre": "解答题", - "ans": "", + "ans": "(1)证明略;(2)$\\arctan \\dfrac{\\2\\sqrt{13}}{3}$", "solution": "", "duration": -1, "usages": [], @@ -467121,7 +467121,7 @@ "第二单元" ], "genre": "解答题", - "ans": "", + "ans": "(1)不存在;(2)$(-\\dfrac{1}{3},\\dfrac{1}{2})\\cup (\\dfrac{1}{2},+\\infty)$", "solution": "", "duration": -1, "usages": [], @@ -467143,7 +467143,7 @@ "第九单元" ], "genre": "解答题", - "ans": "", + "ans": "(1)$P(B)=\\dfrac{4}{5},P(B|A)=\\dfrac{6}{7}$,不独立;(2)一等奖为“外观和内饰均异色”,二等奖为“外观和内饰均同色”,三等奖为“仅外观或仅内饰同色”,奖金额$X$的分布为$\\begin{pmatrix} 150 & 300 & 600 \\\\ \\dfrac{1}{2} & \\dfrac{49}{150} & \\dfrac{13}{75}\\end{pmatrix}$,$E[X]=277$", "solution": "", "duration": -1, "usages": [], @@ -467165,7 +467165,7 @@ "第七单元" ], "genre": "解答题", - "ans": "", + "ans": "(1)$2\\sqrt{2}$;(2)$\\dfrac{4\\sqrt{13}}{13}$;(3)$(0,2]$", "solution": "", "duration": -1, "usages": [], @@ -467189,7 +467189,7 @@ "第四单元" ], "genre": "解答题", - "ans": "", + "ans": "(1)证明略;(2)$a_m\\le a_{m-1}-2$,当且仅当$a_{m-1}=1$时等号成立;(3)${3}$", "solution": "", "duration": -1, "usages": [],