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录入高一统考复习卷2-5答案

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wangweiye7840 2024-03-08 13:45:20 +08:00
parent 092748ebfa
commit 8ab5eecc09
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306
工具v2/文本文件/metadata.txt
View File

@ -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$0<a\le 4$时, 最小值为$2\sqrt{a}$, 当$a>4$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

192
题库0.3/Problems.json
View File

@ -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$0<a\\le 4$时, 最小值为$2\\sqrt{a}$, 当$a>4$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": [],