录入金山2023届二模

工具/文本文件/metadata.txt

@@ -1,64 +1,64 @@
 ans
 
-15017
+15038
-$[2,3)$
+$0$
 
-15018
+15039
-$(0,1)$
-
-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
 $(1,2)$
 
-15028
+15040
-$4$
+$y=\pm \dfrac 43 x$
 
-15029
+15041
-B
+$\dfrac\pi 4$
 
-15030
+15042
-A
+$10$
 
-15031
+15043
-B
+$3-\mathrm{i}$
 
-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
+15052
-(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) $[\dfrac{\sqrt{3}}2,1)$
+B
 
-15034
+15053
-(1) $\arccos \dfrac{\sqrt{2}}4$; (2) 证明略, 距离为$\dfrac{\sqrt{15}}5$
+B
 
-15035
+15054
-(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.
+(1) $2$; (2) $2+\dfrac 23\sqrt{3}$
 
-15036
+15055
-(1) 焦点为$(1,0)$, 准线为$x=-1$; (2) $20$; (3) 存在定点, 坐标为$(5,-2)$
+(1) $\arctan \dfrac 12$; (2) 证明略, 距离为$\dfrac{2\sqrt{5}}5$
 
-15037
+15056
-(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$y=\dfrac{x^2}{4}+1$
+(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) $(-\infty,-1)$

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": [],