20221218 evening

This commit is contained in:
weiye.wang 2022-12-18 17:30:23 +08:00
parent a383e6c623
commit e1da5d61e9
4 changed files with 128 additions and 107 deletions

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@ -2,7 +2,7 @@
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@ -29,69 +29,6 @@
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"周末卷04.tex\n",
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@ -2,7 +2,7 @@
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@ -30,27 +30,48 @@
"题号: 012631 , 字段: ans 中已有该数据: (1) 证明略; (2) 证明略; (3) $\\dfrac\\pi 4$\n",
"题号: 012632 , 字段: ans 中已有该数据: (1) $\\sqrt{2}$; (2) $y=x+1$; (3) 过定点$(-3,0)$和$(1,0)$\n",
"题号: 012633 , 字段: ans 中已有该数据: (1) $y=x-1$; (2) 单调减区间为$(\\dfrac 12 1)$; 极小值为$-2$; (3) 证明略\n",
"题号: 012571 , 字段: ans 中已修改数据: $\\{1\\}$\n",
"题号: 012572 , 字段: ans 中已修改数据: $-1$\n",
"题号: 012573 , 字段: ans 中已修改数据: $\\dfrac\\pi 6$\n",
"题号: 012574 , 字段: ans 中已修改数据: $2$\n",
"题号: 012575 , 字段: ans 中已修改数据: $16\\pi$\n",
"题号: 012576 , 字段: ans 中已修改数据: $2800$, $31$\n",
"题号: 012577 , 字段: ans 中已修改数据: $2$\n",
"题号: 012578 , 字段: ans 中已修改数据: $(-\\infty,1)\\cup (1,3]$\n",
"题号: 012579 , 字段: ans 中已修改数据: $5$\n",
"题号: 012580 , 字段: ans 中已修改数据: $[\\dfrac 32,2]$\n",
"题号: 012581 , 字段: ans 中已修改数据: $(\\dfrac 72,0,\\dfrac 72)$\n",
"题号: 012582 , 字段: ans 中已修改数据: $\\dfrac{\\sqrt{3}}{20}v$\n",
"题号: 012583 , 字段: ans 中已修改数据: A\n",
"题号: 012584 , 字段: ans 中已修改数据: D\n",
"题号: 012585 , 字段: ans 中已修改数据: C\n",
"题号: 012586 , 字段: ans 中已修改数据: C\n",
"题号: 012587 , 字段: ans 中已修改数据: (1) 证明略; (2) $\\dfrac{3\\sqrt{22}}{11}$\n",
"题号: 012588 , 字段: ans 中已修改数据: (1) $\\dfrac 12$; (2) $a_n=\\dfrac{18}{2n+1}$\n",
"题号: 012589 , 字段: ans 中已修改数据: (1) 例如: 非通勤时段的车辆使用情况; 油价和电价的变化; 工作单位能否提供免费充电; 电动车的国家减免政策的变化; 车辆的外观、内饰与品牌效应; 车牌费用等; (2) 解答略\n",
"题号: 012590 , 字段: ans 中已修改数据: (1) $\\dfrac{x^2}4+\\dfrac{y^2}3=1$($y\\le 0$); (2) $P(-\\dfrac 32,\\dfrac{\\sqrt{3}}2)$, $Q(\\dfrac 32, \\dfrac{\\sqrt{3}}2)$; (3) $[\\sqrt{3}-1,\\sqrt{2}+1]$\n",
"题号: 012591 , 字段: ans 中已修改数据: (1) 导数为$y'=\\dfrac{1-\\ln x}{x^2}$, 单调性证明略; (2) 判断$89^{99}>99^{89}$, 证明略, 推广可以是:``对于实数$a,b$, 若$\\mathrm{e}<a<b$, 则$a^b>b^a$; (3) 证明略\n"
"题号: 012571 , 字段: ans 中已有该数据: $\\{1\\}$\n",
"题号: 012572 , 字段: ans 中已有该数据: $-1$\n",
"题号: 012573 , 字段: ans 中已有该数据: $\\dfrac\\pi 6$\n",
"题号: 012574 , 字段: ans 中已有该数据: $2$\n",
"题号: 012575 , 字段: ans 中已有该数据: $16\\pi$\n",
"题号: 012576 , 字段: ans 中已有该数据: $2800$, $31$\n",
"题号: 012577 , 字段: ans 中已有该数据: $2$\n",
"题号: 012578 , 字段: ans 中已有该数据: $(-\\infty,1)\\cup (1,3]$\n",
"题号: 012579 , 字段: ans 中已有该数据: $5$\n",
"题号: 012580 , 字段: ans 中已有该数据: $[\\dfrac 32,2]$\n",
"题号: 012581 , 字段: ans 中已有该数据: $(\\dfrac 72,0,\\dfrac 72)$\n",
"题号: 012582 , 字段: ans 中已有该数据: $\\dfrac{\\sqrt{3}}{20}v$\n",
"题号: 012583 , 字段: ans 中已有该数据: A\n",
"题号: 012584 , 字段: ans 中已有该数据: D\n",
"题号: 012585 , 字段: ans 中已有该数据: C\n",
"题号: 012586 , 字段: ans 中已有该数据: C\n",
"题号: 012587 , 字段: ans 中已有该数据: (1) 证明略; (2) $\\dfrac{3\\sqrt{22}}{11}$\n",
"题号: 012588 , 字段: ans 中已有该数据: (1) $\\dfrac 12$; (2) $a_n=\\dfrac{18}{2n+1}$\n",
"题号: 012589 , 字段: ans 中已有该数据: (1) 例如: 非通勤时段的车辆使用情况; 油价和电价的变化; 工作单位能否提供免费充电; 电动车的国家减免政策的变化; 车辆的外观、内饰与品牌效应; 车牌费用等; (2) 解答略\n",
"题号: 012590 , 字段: ans 中已有该数据: (1) $\\dfrac{x^2}4+\\dfrac{y^2}3=1$($y\\le 0$); (2) $P(-\\dfrac 32,\\dfrac{\\sqrt{3}}2)$, $Q(\\dfrac 32, \\dfrac{\\sqrt{3}}2)$; (3) $[\\sqrt{3}-1,\\sqrt{2}+1]$\n",
"题号: 012591 , 字段: ans 中已有该数据: (1) 导数为$y'=\\dfrac{1-\\ln x}{x^2}$, 单调性证明略; (2) 判断$89^{99}>99^{89}$, 证明略, 推广可以是:``对于实数$a,b$, 若$\\mathrm{e}<a<b$, 则$a^b>b^a$; (3) 证明略\n",
"题号: 010965 , 字段: ans 中已修改数据: $[0,2]$\n",
"题号: 010966 , 字段: ans 中已修改数据: $(-\\infty,0)$\n",
"题号: 030023 , 字段: ans 中已修改数据: $\\dfrac{3n^2-5n}2$\n",
"题号: 010968 , 字段: ans 中已修改数据: $\\dfrac{8\\pi}3$\n",
"题号: 010969 , 字段: ans 中已修改数据: $2(x+2)-(y-1)=0$\n",
"题号: 010970 , 字段: ans 中已修改数据: $\\dfrac 32$\n",
"题号: 030025 , 字段: ans 中已修改数据: $[0,\\dfrac 34]$\n",
"题号: 010972 , 字段: ans 中已修改数据: $25$\n",
"题号: 030024 , 字段: ans 中已修改数据: $\\dfrac 23(\\dfrac 1{4^n}-1)$\n",
"题号: 010974 , 字段: ans 中已修改数据: $[1,+\\infty)$\n",
"题号: 010975 , 字段: ans 中已修改数据: $\\sqrt{3}$\n",
"题号: 010976 , 字段: ans 中已修改数据: $3-\\sqrt{3}$\n",
"题号: 010977 , 字段: ans 中已修改数据: B\n",
"题号: 002745 , 字段: ans 中已修改数据: C\n",
"题号: 010979 , 字段: ans 中已修改数据: C\n",
"题号: 010980 , 字段: ans 中已修改数据: B\n",
"题号: 010981 , 字段: ans 中已修改数据: (1) $\\dfrac 23$; (2) $\\arctan {2\\sqrt{5}}5$\n",
"题号: 010982 , 字段: ans 中已修改数据: (1) $\\log_2 3$; (2) $a=2b\\ne 0$\n",
"题号: 010983 , 字段: ans 中已修改数据: (1) $\\sqrt{7}$千米; (2) 有$\\dfrac{8-\\sqrt{15}}7$小时, 两人不能通话\n",
"题号: 010984 , 字段: ans 中已修改数据: (1) $y^2=4\\sqrt{5} x$或$y^2=-4\\sqrt{5} x$; (2) $M$的坐标为$(0,0)$或$(-\\dfrac{4\\sqrt{5}}5,0)$; (3) 证明略\n",
"题号: 010985 , 字段: ans 中已修改数据: (1) $\\{-6,-3,-2,-1,0,1,2,3,4\\}$; (2) 证明略; (3) 元素个数为$\\dfrac 12 n(n+1)$; 元素之和为$\\dfrac{n+1}2(3^{n+1}-3)$\n"
]
}
],

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@ -127,3 +127,66 @@ C
012591
(1) 导数为$y'=\dfrac{1-\ln x}{x^2}$, 单调性证明略; (2) 判断$89^{99}>99^{89}$, 证明略, 推广可以是:``对于实数$a,b$, 若$\mathrm{e}<a<b$, 则$a^b>b^a$; (3) 证明略
010965
$[0,2]$
010966
$(-\infty,0)$
030023
$\dfrac{3n^2-5n}2$
010968
$\dfrac{8\pi}3$
010969
$2(x+2)-(y-1)=0$
010970
$\dfrac 32$
030025
$[0,\dfrac 34]$
010972
$25$
030024
$\dfrac 23(\dfrac 1{4^n}-1)$
010974
$[1,+\infty)$
010975
$\sqrt{3}$
010976
$3-\sqrt{3}$
010977
B
002745
C
010979
C
010980
B
010981
(1) $\dfrac 23$; (2) $\arctan {2\sqrt{5}}5$
010982
(1) $\log_2 3$; (2) $a=2b\ne 0$
010983
(1) $\sqrt{7}$千米; (2) 有$\dfrac{8-\sqrt{15}}7$小时, 两人不能通话
010984
(1) $y^2=4\sqrt{5} x$或$y^2=-4\sqrt{5} x$; (2) $M$的坐标为$(0,0)$或$(-\dfrac{4\sqrt{5}}5,0)$; (3) 证明略
010985
(1) $\{-6,-3,-2,-1,0,1,2,3,4\}$; (2) 证明略; (3) 元素个数为$\dfrac 12 n(n+1)$; 元素之和为$\dfrac{n+1}2(3^{n+1}-3)$

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@ -75285,7 +75285,7 @@
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@ -273331,7 +273331,7 @@
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@ -273354,7 +273354,7 @@
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@ -273402,7 +273402,7 @@
"第六单元"
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"ans": "$\\dfrac{8\\pi}3$",
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@ -273425,7 +273425,7 @@
"第七单元"
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@ -273448,7 +273448,7 @@
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@ -273497,7 +273497,7 @@
"组合"
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@ -273543,7 +273543,7 @@
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@ -273566,7 +273566,7 @@
"第五单元"
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"ans": "$\\sqrt{3}$",
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@ -273587,7 +273587,7 @@
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@ -273608,7 +273608,7 @@
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@ -273650,7 +273650,7 @@
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@ -273671,7 +273671,7 @@
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@ -273692,7 +273692,7 @@
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@ -273713,7 +273713,7 @@
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@ -273735,7 +273735,7 @@
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@ -273756,7 +273756,7 @@
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@ -273777,7 +273777,7 @@
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"ans": "(1) $\\{-6,-3,-2,-1,0,1,2,3,4\\}$; (2) 证明略; (3) 元素个数为$\\dfrac 12 n(n+1)$; 元素之和为$\\dfrac{n+1}2(3^{n+1}-3)$",
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@ -318058,7 +318058,7 @@
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@ -318084,7 +318084,7 @@
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@ -318110,7 +318110,7 @@
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