diff --git a/工具v2/文本文件/metadata.txt b/工具v2/文本文件/metadata.txt
index c171db91..77202b0d 100644
--- a/工具v2/文本文件/metadata.txt
+++ b/工具v2/文本文件/metadata.txt
@@ -1,22 +1,298 @@
-remark
+ans
-021552
-(20240307, 主要错因) 没写清楚具体角度所在范围以及三角比符号的判断过程; 计算错误
+024622
+$[2,3]$
-021557
-(20240307, 主要错因) 没写清楚具体角度所在范围以及三角比符号的判断过程; 计算错误
+024623
+$[2,+\infty)$
-021566
-(20240307, 主要错因) 未说明两个角的正切的乘积不能为$1$
+024624
+$[0,+\infty)$
-021570
-(20240308, 主要错因) (2)未能根据三角比找到正确的角; 未能根据角的范围找到正确的角
+024625
+$x=a$或$x=b$
-021571
-(20240308, 主要错因) 未能将式子化简为题目要求的形式
+024626
+$6$
-021572
-(20240308, 主要错因) 未能根据三角比找到正确的角
+024627
+$[2,+\infty)$
+
+024628
+$\mathbf{R}$
+
+024629
+$0$
+
+024630
+$(-\infty,1)$
+
+024631
+$B\subset A$
+
+024632
+A
+
+024633
+A
+
+024634
+D
+
+024635
+D
+
+024636
+$10$
+
+024637
+(1) $x=2$, $y=-1$; (2) $\overline{A \cap B}=\{-3,-2,0,1,2\}$, $\overline{A \cup B}=\{-3,0,1\}$
+
+024638
+(1) $(1,2]\cup [3,+\infty)$
+
+024639
+(1) $(-\dfrac{1}{3},1)$; (2) $(-\infty,-\dfrac{1}{2}]\cup [\dfrac{3}{2},+\infty)$
+
+024640
+(1) $(-3,3]$; (2) $[3,+\infty)$
+
+024641
+$<$
+
+024642
+$(-\dfrac{1}{7},\dfrac{1}{5})$
+
+024643
+必要非充分
+
+024644
+$[3,+\infty)$
+
+024645
+$[-\dfrac{3}{2},3)$
+
+024646
+$\{11,12,14,15\}$
+
+024647
+$-4$
+
+024648
+$-1$
+
+024649
+$[7,8]$
+
+024650
+\textcircled{3}\textcircled{5}
+
+024651
+D
+
+024652
+C
+
+024653
+D
+
+024654
+A
+
+024655
+$[-\dfrac{1}{2}, 0)\cup (0,+\infty)$
+
+024656
+$[\dfrac{1}{2},2]$
+
+024657
+恒成立, 证明略
+
+024658
+高为$88\text{cm}$, 宽为$55\text{cm}$
+
+024659
+(1) $(\infty,-2)\cup (2,+\infty)$; (2) 证明略
+
+024660
+$\dfrac{8}{5}$
+
+024661
+$-9a$
+
+024662
+$2+\dfrac{3\sqrt{2}}{2}$
+
+024663
+$12$
+
+024664
+$\dfrac{5a-3b+3}{2}$
+
+024665
+$4$
+
+024666
+$10$
+
+024667
+$7\sqrt{2}$
+
+024668
+$0$或$1$
+
+024669
+$1$
+
+024670
+B
+
+024671
+D
+
+024672
+B
+
+024673
+D
+
+024674
+(1) $8$; (2) $3$; (3) $21\sqrt{5}$
+
+024675
+$a=6$, $b=8$, $c=10$
+
+024676
+$-4$
+
+024677
+最大值为$0$, 最小值为$-1$
+
+024678
+$0$
+
+024679
+$y=x^3$
+
+024680
+$(-\infty,0)\cup (\dfrac{1}{3},+\infty)$
+
+024681
+$(0,+\infty)$
+
+024682
+$\dfrac{1}{2}$
+
+024683
+$1$
+
+024684
+$(-4,-1)\cup (4,+\infty)$
+
+024685
+$(-\infty,-1]\cup [3,+\infty)$
+
+024686
+$(0,1)$
+
+024687
+$(-1,-\dfrac{1}{2}$
+
+024688
+$(0,\dfrac{1}{4}]$
+
+024689
+C
+
+024690
+C
+
+024691
+D
+
+024692
+A
+
+024693
+$1,3,5$或$7$
+
+024694
+$(-\infty,-1)\cup (0,+\infty)$
+
+024695
+(1) $3$年; (2) 按第二种方式能获得更多的利息, 利息差约为$1139.11$元
+
+024696
+$(-\infty,-8]$
+
+024697
+最大值为$2$, 最小值为$0$
+
+024698
+$\dfrac{1-x}{1+x}$
+
+024699
+偶
+
+024700
+$1$
+
+024701
+$x^2-2$
+
+024702
+$[-1,+\infty)$
+
+024703
+$2\sqrt{2}$
+
+024704
+$[1,4]$
+
+024705
+$[-4,-\dfrac{3}{2}]$
+
+024706
+$\dfrac{27}{2}$
+
+024707
+$[\dfrac{1}{2},1)\cup [3,+\infty)$
+
+024708
+A
+
+024709
+D
+
+024710
+B
+
+024711
+C
+
+024712
+(1) $g(m)=-(m-\dfrac{1}{2})^2-\dfrac{3}{4}$; (2) 最大值为$-\dfrac{3}{4}$, 最小值为$-3$
+
+024713
+(1) 在$(0,\sqrt{3}]$上严格减, 在$[\sqrt{3},+\infty)$上严格增, 大致图像如下: \begin{center}
+\begin{tikzpicture}[>=latex, scale = 0.3]
+\draw [->] (0,0) -- (8,0) node [below] {$x$};
+\draw [->] (0,0) -- (0,{8+3/8}) node [left] {$y$};
+\draw (0,0) node [below left] {$O$};
+\draw [domain = {3/8}:8, samples = 100] plot (\x,{\x+3/\x});
+\end{tikzpicture}
+\end{center}
+(2) 当$04$时, 最小值为$2+\dfrac{a}{2}$
+
+024714
+(1) $g(x)=-x^2+2x$; (2) $(-\infty,0]$
+
+024715
+(1) $f(x)=\begin{cases}\dfrac{1}{x^2+1}, & x>0, \\ 0, & x=0, \\ -\dfrac{1}{x^2+1}, & x<0;\end{cases}$ (2) $(-1,1)$
+
+024716
+(1) $p(t)=\begin{cases}-2t^2+40t+200, & 2\le t<10, \\ 400, & 10\le t\le 20,\end{cases}$ 发车间隔为$8$分钟时, 电车的载客量为$392$人; (2) 发车间隔为$5$分钟时, 该线路每分钟的收益最大
+
+024717
+(1) 都是``均分函数'', 理由略; (2) $[\dfrac{1}{9},+\infty)$; (3) $[\dfrac{1}{3},\dfrac{7}{3}]$
-018390
-(20240308, 主要错因) 计算错误(不能合理分步骤求解, 直接展开导致式子复杂, 计算出错; 三角比值和和差展开公式符号出错); 顺时针和逆时针旋转加减角度判断错误
\ No newline at end of file
diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 627cb825..8dd465d4 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -681149,7 +681149,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[2,3]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681171,7 +681171,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[2,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681193,7 +681193,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[0,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681216,7 +681216,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$x=a$或$x=b$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681238,7 +681238,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$6$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681258,7 +681258,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[2,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681282,7 +681282,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$\\mathbf{R}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681304,7 +681304,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$0$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681329,7 +681329,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(-\\infty,1)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681349,7 +681349,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$B\\subset A$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681371,7 +681371,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@@ -681393,7 +681393,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@@ -681415,7 +681415,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -681435,7 +681435,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -681458,7 +681458,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$10$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681478,7 +681478,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $x=2$, $y=-1$; (2) $\\overline{A \\cap B}=\\{-3,-2,0,1,2\\}$, $\\overline{A \\cup B}=\\{-3,0,1\\}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681499,7 +681499,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $(1,2]\\cup [3,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681519,7 +681519,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $(-\\dfrac{1}{3},1)$; (2) $(-\\infty,-\\dfrac{1}{2}]\\cup [\\dfrac{3}{2},+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681539,7 +681539,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $(-3,3]$; (2) $[3,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681559,7 +681559,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$<$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681579,7 +681579,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(-\\dfrac{1}{7},\\dfrac{1}{5})$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681601,7 +681601,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "必要非充分",
"solution": "",
"duration": -1,
"usages": [],
@@ -681621,7 +681621,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[3,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681641,7 +681641,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[-\\dfrac{3}{2},3)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681663,7 +681663,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$\\{11,12,14,15\\}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681683,7 +681683,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$-4$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681705,7 +681705,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$-1$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681730,7 +681730,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[7,8]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681753,7 +681753,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "\\textcircled{3}\\textcircled{5}",
"solution": "",
"duration": -1,
"usages": [],
@@ -681777,7 +681777,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -681797,7 +681797,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@@ -681817,7 +681817,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -681843,7 +681843,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@@ -681863,7 +681863,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$[-\\dfrac{1}{2}, 0)\\cup (0,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681883,7 +681883,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$[\\dfrac{1}{2},2]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681903,7 +681903,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "恒成立, 证明略",
"solution": "",
"duration": -1,
"usages": [],
@@ -681923,7 +681923,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "高为$88\\text{cm}$, 宽为$55\\text{cm}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681943,7 +681943,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $(\\infty,-2)\\cup (2,+\\infty)$; (2) 证明略",
"solution": "",
"duration": -1,
"usages": [],
@@ -681966,7 +681966,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$\\dfrac{8}{5}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -681988,7 +681988,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$-9a$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682012,7 +682012,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$2+\\dfrac{3\\sqrt{2}}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682032,7 +682032,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$12$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682052,7 +682052,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$\\dfrac{5a-3b+3}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682074,7 +682074,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$4$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682098,7 +682098,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$10$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682120,7 +682120,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$7\\sqrt{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682145,7 +682145,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$0$或$1$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682167,7 +682167,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$1$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682189,7 +682189,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@@ -682209,7 +682209,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -682229,7 +682229,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@@ -682251,7 +682251,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -682272,7 +682272,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $8$; (2) $3$; (3) $21\\sqrt{5}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682292,7 +682292,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$a=6$, $b=8$, $c=10$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682312,7 +682312,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$-4$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682334,7 +682334,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "最大值为$0$, 最小值为$-1$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682358,7 +682358,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$0$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682378,7 +682378,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$y=x^3$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682398,7 +682398,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(-\\infty,0)\\cup (\\dfrac{1}{3},+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682420,7 +682420,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(0,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682443,7 +682443,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$\\dfrac{1}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682463,7 +682463,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$1$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682486,7 +682486,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(-4,-1)\\cup (4,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682506,7 +682506,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(-\\infty,-1]\\cup [3,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682529,7 +682529,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(0,1)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682551,7 +682551,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(-1,-\\dfrac{1}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682575,7 +682575,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$(0,\\dfrac{1}{4}]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682599,7 +682599,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@@ -682619,7 +682619,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@@ -682642,7 +682642,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -682662,7 +682662,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@@ -682682,7 +682682,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$1,3,5$或$7$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682705,7 +682705,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$(-\\infty,-1)\\cup (0,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682727,7 +682727,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $3$年; (2) 按第二种方式能获得更多的利息, 利息差约为$1139.11$元",
"solution": "",
"duration": -1,
"usages": [],
@@ -682747,7 +682747,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "$(-\\infty,-8]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682770,7 +682770,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "最大值为$2$, 最小值为$0$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682794,7 +682794,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$\\dfrac{1-x}{1+x}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682814,7 +682814,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "偶",
"solution": "",
"duration": -1,
"usages": [],
@@ -682837,7 +682837,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$1$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682860,7 +682860,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$x^2-2$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682882,7 +682882,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[-1,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682905,7 +682905,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$2\\sqrt{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682927,7 +682927,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[1,4]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682947,7 +682947,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[-4,-\\dfrac{3}{2}]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682967,7 +682967,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$\\dfrac{27}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -682987,7 +682987,7 @@
"objs": [],
"tags": [],
"genre": "填空题",
- "ans": "",
+ "ans": "$[\\dfrac{1}{2},1)\\cup [3,+\\infty)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -683009,7 +683009,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "A",
"solution": "",
"duration": -1,
"usages": [],
@@ -683029,7 +683029,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "D",
"solution": "",
"duration": -1,
"usages": [],
@@ -683052,7 +683052,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "B",
"solution": "",
"duration": -1,
"usages": [],
@@ -683072,7 +683072,7 @@
"objs": [],
"tags": [],
"genre": "选择题",
- "ans": "",
+ "ans": "C",
"solution": "",
"duration": -1,
"usages": [],
@@ -683092,7 +683092,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $g(m)=-(m-\\dfrac{1}{2})^2-\\dfrac{3}{4}$; (2) 最大值为$-\\dfrac{3}{4}$, 最小值为$-3$",
"solution": "",
"duration": -1,
"usages": [],
@@ -683112,7 +683112,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) 在$(0,\\sqrt{3}]$上严格减, 在$[\\sqrt{3},+\\infty)$上严格增, 大致图像如下: \\begin{center}\n\\begin{tikzpicture}[>=latex, scale = 0.3]\n\\draw [->] (0,0) -- (8,0) node [below] {$x$};\n\\draw [->] (0,0) -- (0,{8+3/8}) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = {3/8}:8, samples = 100] plot (\\x,{\\x+3/\\x});\n\\end{tikzpicture}\n\\end{center}\n(2) 当$04$时, 最小值为$2+\\dfrac{a}{2}$",
"solution": "",
"duration": -1,
"usages": [],
@@ -683132,7 +683132,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $g(x)=-x^2+2x$; (2) $(-\\infty,0]$",
"solution": "",
"duration": -1,
"usages": [],
@@ -683154,7 +683154,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $f(x)=\\begin{cases}\\dfrac{1}{x^2+1}, & x>0, \\\\ 0, & x=0, \\\\ -\\dfrac{1}{x^2+1}, & x<0;\\end{cases}$ (2) $(-1,1)$",
"solution": "",
"duration": -1,
"usages": [],
@@ -683174,7 +683174,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) $p(t)=\\begin{cases}-2t^2+40t+200, & 2\\le t<10, \\\\ 400, & 10\\le t\\le 20,\\end{cases}$ 发车间隔为$8$分钟时, 电车的载客量为$392$人; (2) 发车间隔为$5$分钟时, 该线路每分钟的收益最大",
"solution": "",
"duration": -1,
"usages": [],
@@ -683194,7 +683194,7 @@
"objs": [],
"tags": [],
"genre": "解答题",
- "ans": "",
+ "ans": "(1) 都是``均分函数'', 理由略; (2) $[\\dfrac{1}{9},+\\infty)$; (3) $[\\dfrac{1}{3},\\dfrac{7}{3}]$",
"solution": "",
"duration": -1,
"usages": [],