补充了23年高考卷答案

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": [],