导入高三下周末卷07使用数据

This commit is contained in:
WangWeiye 2023-05-10 10:17:26 +08:00
parent 4e611a581f
commit edf6ca00d2
3 changed files with 827 additions and 146 deletions

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@ -14,7 +14,7 @@
"filepath = \"数据导入作业文件\"\n", "filepath = \"数据导入作业文件\"\n",
"\n", "\n",
"# date = str(time.localtime().tm_year)+str(time.localtime().tm_mon).zfill(2)+str(time.localtime().tm_mday).zfill(2)\n", "# date = str(time.localtime().tm_year)+str(time.localtime().tm_mon).zfill(2)+str(time.localtime().tm_mday).zfill(2)\n",
"date = \"20230425\"\n", "date = \"20230508\"\n",
"\n", "\n",
"#生成文件名tex_file和zip_file\n", "#生成文件名tex_file和zip_file\n",
"files = [os.path.join(filepath,f) for f in os.listdir(filepath)]\n", "files = [os.path.join(filepath,f) for f in os.listdir(filepath)]\n",
@ -108,7 +108,7 @@
"name": "python", "name": "python",
"nbconvert_exporter": "python", "nbconvert_exporter": "python",
"pygments_lexer": "ipython3", "pygments_lexer": "ipython3",
"version": "3.9.15" "version": "3.8.15"
}, },
"orig_nbformat": 4, "orig_nbformat": 4,
"vscode": { "vscode": {

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@ -1,182 +1,632 @@
ans usages
014969
$2\sqrt{2}-3$
014970 015206
$[-1,0]$ 20230508 2023届高三10班 1.000
014971 015207
$11$ 20230508 2023届高三10班 0.963
014972 015208
$\dfrac{\pi}{9}$ 20230508 2023届高三10班 1.000
014965 015209
$(-\infty,8-4\sqrt{2}]$ 20230508 2023届高三10班 0.815
040558 015210
$[0,2-\ln 2]$ 20230508 2023届高三10班 0.926
014966 015211
D 20230508 2023届高三10班 1.000
014968 015212
(1) 定值为$20$, 证明略; (2) $x=5$且$-5\le y\le 5$ 20230508 2023届高三10班 0.889
014973 015213
$\dfrac{2\sqrt{6}}3$ 20230508 2023届高三10班 0.963
015214
20230508 2023届高三10班 0.778
040556 015215
(1) $[-\dfrac 43,0]$; (2) $50-6\sqrt{41}$; (3) $[2,5+3\sqrt{2}]$ 20230508 2023届高三10班 0.815
040560 015216
$(-\infty,\dfrac 12]$ 20230508 2023届高三10班 0.704
040563 015217
$(1,5)$ 20230508 2023届高三10班 0.111
040564 015218
$8$ 20230508 2023届高三10班 0.963
040568 015219
$\dfrac{29}{13}$ 20230508 2023届高三10班 0.963
014884 015220
$\{0\}\cup (1,3]$ 20230508 2023届高三10班 0.111
014887 015221
$(-\infty,-5]$ 20230508 2023届高三10班 0.407
014894 015222
B 20230508 2023届高三10班 1.000 0.815
014897 015223
$(-\infty,-\dfrac 49)$ 20230508 2023届高三10班 0.963 0.593
014891 015224
(1) 证明略; (2) $f(x)=-\dfrac x{2+x}$; (3) $(\dfrac{1}{101},\dfrac{1}{99})$ 20230508 2023届高三10班 0.963 0.852
015225
20230508 2023届高三10班 0.963 0.704 0.111
014725 015226
$2$或$\sqrt{6}$ 20230508 2023届高三10班 0.852 0.407 0.037
014924 015206
$36$ 20230508 2023届高三11班 1.000
014926 015207
B 20230508 2023届高三11班 1.000
014733 015208
$(-\infty,-\dfrac{\sqrt{3a}}3]$和$[\dfrac{\sqrt{3a}}3,+\infty)$ 20230508 2023届高三11班 0.905
014882 015209
(1) 定值为$r$, 证明略; (2) 当$a=1$时, 周期为$1$; 当$a\in (0,1)\cup (1,+\infty)$时, 周期为$2$; (3) $S_n=n$($r=0$时)或$S_n=\dfrac 34n^2+\dfrac 54n$($r=3$时) 20230508 2023届高三11班 0.809
014931 015210
$36$ 20230508 2023届高三11班 0.905
014736 015211
$(-\infty,-2]\cup [\dfrac 12,+\infty)$ 20230508 2023届高三11班 1.000
014930 015212
D 20230508 2023届高三11班 1.000
014922 015213
$a=0$时, $f(x)$是偶函数; $a=1$时, $f(x)$是奇函数; $a\ne 0$且$a\ne 1$时, $f(x)$既不是奇函数, 又不是偶函数 20230508 2023届高三11班 0.952
014925 015214
证明略 20230508 2023届高三11班 0.905
015215
20230508 2023届高三11班 0.857
014943 015216
$(\dfrac 32,2)$ 20230508 2023届高三11班 0.667
014909 015217
(1) $[-1,6]$; (2) $[-13,9]$ 20230508 2023届高三11班 0.000
031397 015218
$\{\dfrac 12\}$ 20230508 2023届高三11班 0.952
031398 015219
证明略 20230508 2023届高三11班 1.000
031399 015220
(1) 存在, 理由略; (2) 存在, 理由略; (3) 存在, 理由略 20230508 2023届高三11班 0.524
014944 015221
$12\pi$ 20230508 2023届高三11班 0.524
031400 015222
$(-\infty,-6)\cup (6,+\infty)$ 20230508 2023届高三11班 1.000 0.857
014989 015223
\textcircled{2}\textcircled{3} 20230508 2023届高三11班 1.000 0.905
031401 015224
$\sqrt{10}$ 20230508 2023届高三11班 0.952 0.667
014910 015225
(1) (i) $A$与$B$被直线$l$分割; (ii) $A$与$C$不被直线$l$分割; (2) 如$x+y=0$, 理由略; (3) 证明略 20230508 2023届高三11班 0.952 0.857 0.000
014987 015226
$4\pi$ 20230508 2023届高三11班 0.714 0.143 0.000
014913 015206
(1) $d(P_1,l_1)=1$, $d(P_2,l_1)=\sqrt{5}$;\\ 20230508 2023届高三12班 1.000
(2) $D=\left\{(x,y)|\begin{cases}x\ge 2, \\ (x-2)^2+(y-2)^2=1,\end{cases}\text{ 或 } \begin{cases} x\le =2, \\ (x+2)^2+(y-2)^2=1, \end{cases}\text{ 或 }\begin{cases} -2<x<2, \\ y=1 \text{或} 3\end{cases}\right\}$;\\
(3) $\Omega = \{(0,y)|y \in \mathbf{R}\}$
014990 015207
(1) 证明略; (2) $[-\dfrac 14,+\infty)$ 20230508 2023届高三12班 0.944
014914 015208
(1) 是$T$点列, 理由略; (2) 是钝角三角形, 证明略; (3) 证明略 20230508 2023届高三12班 1.000
014911 015209
$(2,3)$ 20230508 2023届高三12班 1.000
014991 015210
A 20230508 2023届高三12班 1.000
014992 015211
C 20230508 2023届高三12班 1.000
014994 015212
\textcircled{2}\textcircled{4} 20230508 2023届高三12班 0.944
014946 015213
证明略 20230508 2023届高三12班 1.000
014995 015214
(1) $2,5,8,11,8,5,2$;\\ 20230508 2023届高三12班 0.944
(2) $k=13$时$S_{2k-1}$取到最大, 最大值为$626$;\\
(3) 共有四种满足要求的数列:\\
第一种: $1,2,\cdots,2^{m-2},2^{m-1},2^{m-1},2^{m-2},\cdots,2,1$($2m$项), $S_{2022}=\begin{cases}2^{m+1}-2^{2m-2022}-1, & 1500<m\le 2022,\\2^{2022}-1, & m \ge 2022;\end{cases}$\\
第二种: $1,2,\cdots,2^{m-2},2^{m-1},2^{m-2},\cdots,2,1$($2m-1$项), $S_{2022}=\begin{cases}3\cdot 2^{m+1}-2^{2m-2023}-1, & 1500<m\le 2022,\\2^{2022}-1, & m \ge 2022;\end{cases}$\\
第三种: $2^{m-1},2^{m-2},\cdots,2,1,1,2,\cdots,2^{m-2},2^{m-1}$($2m$项), $S_{2022}=\begin{cases}2^m+2^{2022-m}-2, & 1500<m\le 2022,\\2^m-2^{m-2022}, & m \ge 2022;\end{cases}$\\
第四种: $2^{m-1},2^{m-2},\cdots,2,1,2,\cdots,2^{m-2},2^{m-1}$($2m$项), $S_{2022}=\begin{cases}2^m+2^{2023-m}-3, & 1500<m\le 2022,\\2^m-2^{m-2022}, & m \ge 2022;\end{cases}$
014916 015215
是奇函数, 证明略 20230508 2023届高三12班 0.833
014901 015216
\textcircled{3} 20230508 2023届高三12班 0.833
014918 015217
(1) 证明略; (2) 证明略 20230508 2023届高三12班 0.222
014919 015218
(1) 不是有界数列, 理由略; (2) 不是有界数列, 理由略 20230508 2023届高三12班 0.944
014917 015219
是周期函数, 证明略 20230508 2023届高三12班 1.000
014915 015220
证明略 20230508 2023届高三12班 0.333
014905 015221
(1) $a_n=n+5$, $b_n=3n+2$; (2) 存在, $m=11$ 20230508 2023届高三12班 0.500
015222
20230508 2023届高三12班 1.000 0.889
015223
20230508 2023届高三12班 1.000 0.833
015224
20230508 2023届高三12班 0.944 0.889
015225
20230508 2023届高三12班 0.944 0.889 0.111
015226
20230508 2023届高三12班 0.889 0.444 0.000
015206
20230508 2023届高三01班 1.000
015207
20230508 2023届高三01班 0.950
015208
20230508 2023届高三01班 1.000
015209
20230508 2023届高三01班 1.000
015210
20230508 2023届高三01班 1.000
015211
20230508 2023届高三01班 0.950
015212
20230508 2023届高三01班 0.950
015213
20230508 2023届高三01班 1.000
015214
20230508 2023届高三01班 0.950
015215
20230508 2023届高三01班 1.000
015216
20230508 2023届高三01班 0.950
015217
20230508 2023届高三01班 0.700
015218
20230508 2023届高三01班 1.000
015219
20230508 2023届高三01班 1.000
015220
20230508 2023届高三01班 0.600
015221
20230508 2023届高三01班 0.850
015222
20230508 2023届高三01班 1.000 0.950
015223
20230508 2023届高三01班 1.000 0.950
015224
20230508 2023届高三01班 1.000 1.000
015225
20230508 2023届高三01班 1.000 0.850 0.550
015226
20230508 2023届高三01班 1.000 1.000 0.500
015206
20230508 2023届高三02班 1.000
015207
20230508 2023届高三02班 1.000
015208
20230508 2023届高三02班 1.000
015209
20230508 2023届高三02班 0.871
015210
20230508 2023届高三02班 0.968
015211
20230508 2023届高三02班 0.935
015212
20230508 2023届高三02班 0.871
015213
20230508 2023届高三02班 1.000
015214
20230508 2023届高三02班 0.806
015215
20230508 2023届高三02班 0.871
015216
20230508 2023届高三02班 0.774
015217
20230508 2023届高三02班 0.452
015218
20230508 2023届高三02班 0.903
015219
20230508 2023届高三02班 0.968
015220
20230508 2023届高三02班 0.355
015221
20230508 2023届高三02班 0.806
015222
20230508 2023届高三02班 0.903 0.935
015223
20230508 2023届高三02班 0.742 0.645
015224
20230508 2023届高三02班 0.935 0.516
015225
20230508 2023届高三02班 1.000 0.839 0.290
015226
20230508 2023届高三02班 0.968 0.581 0.032
015206
20230508 2023届高三03班 1.000
015207
20230508 2023届高三03班 1.000
015208
20230508 2023届高三03班 0.957
015209
20230508 2023届高三03班 0.870
015210
20230508 2023届高三03班 1.000
015211
20230508 2023届高三03班 0.913
015212
20230508 2023届高三03班 0.957
015213
20230508 2023届高三03班 1.000
015214
20230508 2023届高三03班 0.783
015215
20230508 2023届高三03班 0.913
015216
20230508 2023届高三03班 0.783
015217
20230508 2023届高三03班 0.348
015218
20230508 2023届高三03班 1.000
015219
20230508 2023届高三03班 0.957
015220
20230508 2023届高三03班 0.435
015221
20230508 2023届高三03班 0.696
015222
20230508 2023届高三03班 0.957 0.870
015223
20230508 2023届高三03班 1.000 0.783
015224
20230508 2023届高三03班 0.957 0.696
015225
20230508 2023届高三03班 0.957 0.826 0.217
015226
20230508 2023届高三03班 0.913 0.739 0.174
015206
20230508 2023届高三05班 1.000
015207
20230508 2023届高三05班 1.000
015208
20230508 2023届高三05班 1.000
015209
20230508 2023届高三05班 0.914
015210
20230508 2023届高三05班 1.000
015211
20230508 2023届高三05班 1.000
015212
20230508 2023届高三05班 0.914
015213
20230508 2023届高三05班 0.943
015214
20230508 2023届高三05班 0.857
015215
20230508 2023届高三05班 0.914
015216
20230508 2023届高三05班 0.743
015217
20230508 2023届高三05班 0.400
015218
20230508 2023届高三05班 0.971
015219
20230508 2023届高三05班 0.971
015220
20230508 2023届高三05班 0.200
015221
20230508 2023届高三05班 0.686
015222
20230508 2023届高三05班 1.000 1.000
015223
20230508 2023届高三05班 1.000 0.857
015224
20230508 2023届高三05班 0.971 0.857
015225
20230508 2023届高三05班 1.000 0.657 0.229
015226
20230508 2023届高三05班 0.971 0.543 0.057
015206
20230508 2023届高三06班 0.974
015207
20230508 2023届高三06班 0.974
015208
20230508 2023届高三06班 0.949
015209
20230508 2023届高三06班 0.923
015210
20230508 2023届高三06班 1.000
015211
20230508 2023届高三06班 0.974
015212
20230508 2023届高三06班 0.949
015213
20230508 2023届高三06班 0.974
015214
20230508 2023届高三06班 0.846
015215
20230508 2023届高三06班 0.744
015216
20230508 2023届高三06班 0.846
015217
20230508 2023届高三06班 0.359
015218
20230508 2023届高三06班 0.949
015219
20230508 2023届高三06班 0.974
015220
20230508 2023届高三06班 0.308
015221
20230508 2023届高三06班 0.769
015222
20230508 2023届高三06班 1.000 1.000
015223
20230508 2023届高三06班 1.000 0.974
015224
20230508 2023届高三06班 0.949 0.846
015225
20230508 2023届高三06班 1.000 0.872 0.256
015226
20230508 2023届高三06班 0.974 0.462 0.026
015206
20230508 2023届高三07班 1.000
015207
20230508 2023届高三07班 1.000
015208
20230508 2023届高三07班 1.000
015209
20230508 2023届高三07班 0.828
015210
20230508 2023届高三07班 0.966
015211
20230508 2023届高三07班 0.931
015212
20230508 2023届高三07班 0.897
015213
20230508 2023届高三07班 0.966
015214
20230508 2023届高三07班 0.931
015215
20230508 2023届高三07班 0.759
015216
20230508 2023届高三07班 0.759
015217
20230508 2023届高三07班 0.138
015218
20230508 2023届高三07班 1.000
015219
20230508 2023届高三07班 1.000
015220
20230508 2023届高三07班 0.379
015221
20230508 2023届高三07班 0.448
015222
20230508 2023届高三07班 0.931 0.862
015223
20230508 2023届高三07班 0.966 0.828
015224
20230508 2023届高三07班 0.828 0.483
015225
20230508 2023届高三07班 0.966 0.793 0.207
015226
20230508 2023届高三07班 0.862 0.483 0.035
015206
20230508 2023届高三09班 0.929
015207
20230508 2023届高三09班 1.000
015208
20230508 2023届高三09班 0.929
015209
20230508 2023届高三09班 0.929
015210
20230508 2023届高三09班 1.000
015211
20230508 2023届高三09班 1.000
015212
20230508 2023届高三09班 0.929
015213
20230508 2023届高三09班 1.000
015214
20230508 2023届高三09班 0.929
015215
20230508 2023届高三09班 0.714
015216
20230508 2023届高三09班 0.571
015217
20230508 2023届高三09班 0.143
015218
20230508 2023届高三09班 0.929
015219
20230508 2023届高三09班 0.929
015220
20230508 2023届高三09班 0.286
015221
20230508 2023届高三09班 0.214
015222
20230508 2023届高三09班 1.000 0.929
015223
20230508 2023届高三09班 1.000 0.571
015224
20230508 2023届高三09班 0.786 0.357
015225
20230508 2023届高三09班 0.857 0.500 0.071
015226
20230508 2023届高三09班 0.786 0.500 0.000
014907
(1) $f_1(x)$存在短距, 不存在长距, $f_2(x)$存在短距, 也存在长距; (2) 存在满足条件的实数$a$, $a$的范围为$[-1,-\dfrac 12]\cup [\dfrac 52,5]$

View File

@ -395381,7 +395381,18 @@
"ans": "$\\{1\\}$", "ans": "$\\{1\\}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t1.000",
"20230508\t2023届高三11班\t1.000",
"20230508\t2023届高三12班\t1.000",
"20230508\t2023届高三01班\t1.000",
"20230508\t2023届高三02班\t1.000",
"20230508\t2023届高三03班\t1.000",
"20230508\t2023届高三05班\t1.000",
"20230508\t2023届高三06班\t0.974",
"20230508\t2023届高三07班\t1.000",
"20230508\t2023届高三09班\t0.929"
],
"origin": "2023届松江区高三二模试题1", "origin": "2023届松江区高三二模试题1",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395403,7 +395414,18 @@
"ans": "$5$", "ans": "$5$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.963",
"20230508\t2023届高三11班\t1.000",
"20230508\t2023届高三12班\t0.944",
"20230508\t2023届高三01班\t0.950",
"20230508\t2023届高三02班\t1.000",
"20230508\t2023届高三03班\t1.000",
"20230508\t2023届高三05班\t1.000",
"20230508\t2023届高三06班\t0.974",
"20230508\t2023届高三07班\t1.000",
"20230508\t2023届高三09班\t1.000"
],
"origin": "2023届松江区高三二模试题2", "origin": "2023届松江区高三二模试题2",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395425,7 +395447,18 @@
"ans": "$-1$", "ans": "$-1$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
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"20230508\t2023届高三02班\t1.000",
"20230508\t2023届高三03班\t0.957",
"20230508\t2023届高三05班\t1.000",
"20230508\t2023届高三06班\t0.949",
"20230508\t2023届高三07班\t1.000",
"20230508\t2023届高三09班\t0.929"
],
"origin": "2023届松江区高三二模试题3", "origin": "2023届松江区高三二模试题3",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395447,7 +395480,18 @@
"ans": "$0.94$", "ans": "$0.94$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.815",
"20230508\t2023届高三11班\t0.809",
"20230508\t2023届高三12班\t1.000",
"20230508\t2023届高三01班\t1.000",
"20230508\t2023届高三02班\t0.871",
"20230508\t2023届高三03班\t0.870",
"20230508\t2023届高三05班\t0.914",
"20230508\t2023届高三06班\t0.923",
"20230508\t2023届高三07班\t0.828",
"20230508\t2023届高三09班\t0.929"
],
"origin": "2023届松江区高三二模试题4", "origin": "2023届松江区高三二模试题4",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395469,7 +395513,18 @@
"ans": "$-\\dfrac{24}{7}$", "ans": "$-\\dfrac{24}{7}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.926",
"20230508\t2023届高三11班\t0.905",
"20230508\t2023届高三12班\t1.000",
"20230508\t2023届高三01班\t1.000",
"20230508\t2023届高三02班\t0.968",
"20230508\t2023届高三03班\t1.000",
"20230508\t2023届高三05班\t1.000",
"20230508\t2023届高三06班\t1.000",
"20230508\t2023届高三07班\t0.966",
"20230508\t2023届高三09班\t1.000"
],
"origin": "2023届松江区高三二模试题5", "origin": "2023届松江区高三二模试题5",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395491,7 +395546,18 @@
"ans": "$28$", "ans": "$28$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t1.000",
"20230508\t2023届高三11班\t1.000",
"20230508\t2023届高三12班\t1.000",
"20230508\t2023届高三01班\t0.950",
"20230508\t2023届高三02班\t0.935",
"20230508\t2023届高三03班\t0.913",
"20230508\t2023届高三05班\t1.000",
"20230508\t2023届高三06班\t0.974",
"20230508\t2023届高三07班\t0.931",
"20230508\t2023届高三09班\t1.000"
],
"origin": "2023届松江区高三二模试题6", "origin": "2023届松江区高三二模试题6",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395513,7 +395579,18 @@
"ans": "$50$", "ans": "$50$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.889",
"20230508\t2023届高三11班\t1.000",
"20230508\t2023届高三12班\t0.944",
"20230508\t2023届高三01班\t0.950",
"20230508\t2023届高三02班\t0.871",
"20230508\t2023届高三03班\t0.957",
"20230508\t2023届高三05班\t0.914",
"20230508\t2023届高三06班\t0.949",
"20230508\t2023届高三07班\t0.897",
"20230508\t2023届高三09班\t0.929"
],
"origin": "2023届松江区高三二模试题7", "origin": "2023届松江区高三二模试题7",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395535,7 +395612,18 @@
"ans": "$\\dfrac 13$", "ans": "$\\dfrac 13$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.963",
"20230508\t2023届高三11班\t0.952",
"20230508\t2023届高三12班\t1.000",
"20230508\t2023届高三01班\t1.000",
"20230508\t2023届高三02班\t1.000",
"20230508\t2023届高三03班\t1.000",
"20230508\t2023届高三05班\t0.943",
"20230508\t2023届高三06班\t0.974",
"20230508\t2023届高三07班\t0.966",
"20230508\t2023届高三09班\t1.000"
],
"origin": "2023届松江区高三二模试题8", "origin": "2023届松江区高三二模试题8",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395557,7 +395645,18 @@
"ans": "$\\dfrac 8{11}$", "ans": "$\\dfrac 8{11}$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.778",
"20230508\t2023届高三11班\t0.905",
"20230508\t2023届高三12班\t0.944",
"20230508\t2023届高三01班\t0.950",
"20230508\t2023届高三02班\t0.806",
"20230508\t2023届高三03班\t0.783",
"20230508\t2023届高三05班\t0.857",
"20230508\t2023届高三06班\t0.846",
"20230508\t2023届高三07班\t0.931",
"20230508\t2023届高三09班\t0.929"
],
"origin": "2023届松江区高三二模试题9", "origin": "2023届松江区高三二模试题9",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395579,7 +395678,18 @@
"ans": "$9$", "ans": "$9$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.815",
"20230508\t2023届高三11班\t0.857",
"20230508\t2023届高三12班\t0.833",
"20230508\t2023届高三01班\t1.000",
"20230508\t2023届高三02班\t0.871",
"20230508\t2023届高三03班\t0.913",
"20230508\t2023届高三05班\t0.914",
"20230508\t2023届高三06班\t0.744",
"20230508\t2023届高三07班\t0.759",
"20230508\t2023届高三09班\t0.714"
],
"origin": "2023届松江区高三二模试题10", "origin": "2023届松江区高三二模试题10",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395601,7 +395711,18 @@
"ans": "$\\dfrac{\\sqrt{2}}2$", "ans": "$\\dfrac{\\sqrt{2}}2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.704",
"20230508\t2023届高三11班\t0.667",
"20230508\t2023届高三12班\t0.833",
"20230508\t2023届高三01班\t0.950",
"20230508\t2023届高三02班\t0.774",
"20230508\t2023届高三03班\t0.783",
"20230508\t2023届高三05班\t0.743",
"20230508\t2023届高三06班\t0.846",
"20230508\t2023届高三07班\t0.759",
"20230508\t2023届高三09班\t0.571"
],
"origin": "2023届松江区高三二模试题11", "origin": "2023届松江区高三二模试题11",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395623,7 +395744,18 @@
"ans": "$\\sqrt{15}a$", "ans": "$\\sqrt{15}a$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.111",
"20230508\t2023届高三11班\t0.000",
"20230508\t2023届高三12班\t0.222",
"20230508\t2023届高三01班\t0.700",
"20230508\t2023届高三02班\t0.452",
"20230508\t2023届高三03班\t0.348",
"20230508\t2023届高三05班\t0.400",
"20230508\t2023届高三06班\t0.359",
"20230508\t2023届高三07班\t0.138",
"20230508\t2023届高三09班\t0.143"
],
"origin": "2023届松江区高三二模试题12", "origin": "2023届松江区高三二模试题12",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395645,7 +395777,18 @@
"ans": "B", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.963",
"20230508\t2023届高三11班\t0.952",
"20230508\t2023届高三12班\t0.944",
"20230508\t2023届高三01班\t1.000",
"20230508\t2023届高三02班\t0.903",
"20230508\t2023届高三03班\t1.000",
"20230508\t2023届高三05班\t0.971",
"20230508\t2023届高三06班\t0.949",
"20230508\t2023届高三07班\t1.000",
"20230508\t2023届高三09班\t0.929"
],
"origin": "2023届松江区高三二模试题13", "origin": "2023届松江区高三二模试题13",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395667,7 +395810,18 @@
"ans": "B", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.963",
"20230508\t2023届高三11班\t1.000",
"20230508\t2023届高三12班\t1.000",
"20230508\t2023届高三01班\t1.000",
"20230508\t2023届高三02班\t0.968",
"20230508\t2023届高三03班\t0.957",
"20230508\t2023届高三05班\t0.971",
"20230508\t2023届高三06班\t0.974",
"20230508\t2023届高三07班\t1.000",
"20230508\t2023届高三09班\t0.929"
],
"origin": "2023届松江区高三二模试题14", "origin": "2023届松江区高三二模试题14",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395689,7 +395843,18 @@
"ans": "C", "ans": "C",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.111",
"20230508\t2023届高三11班\t0.524",
"20230508\t2023届高三12班\t0.333",
"20230508\t2023届高三01班\t0.600",
"20230508\t2023届高三02班\t0.355",
"20230508\t2023届高三03班\t0.435",
"20230508\t2023届高三05班\t0.200",
"20230508\t2023届高三06班\t0.308",
"20230508\t2023届高三07班\t0.379",
"20230508\t2023届高三09班\t0.286"
],
"origin": "2023届松江区高三二模试题15", "origin": "2023届松江区高三二模试题15",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395711,7 +395876,18 @@
"ans": "B", "ans": "B",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.407",
"20230508\t2023届高三11班\t0.524",
"20230508\t2023届高三12班\t0.500",
"20230508\t2023届高三01班\t0.850",
"20230508\t2023届高三02班\t0.806",
"20230508\t2023届高三03班\t0.696",
"20230508\t2023届高三05班\t0.686",
"20230508\t2023届高三06班\t0.769",
"20230508\t2023届高三07班\t0.448",
"20230508\t2023届高三09班\t0.214"
],
"origin": "2023届松江区高三二模试题16", "origin": "2023届松江区高三二模试题16",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395733,7 +395909,18 @@
"ans": "(1) $\\dfrac \\pi 3$; (2) $\\dfrac 32$", "ans": "(1) $\\dfrac \\pi 3$; (2) $\\dfrac 32$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t1.000\t0.815",
"20230508\t2023届高三11班\t1.000\t0.857",
"20230508\t2023届高三12班\t1.000\t0.889",
"20230508\t2023届高三01班\t1.000\t0.950",
"20230508\t2023届高三02班\t0.903\t0.935",
"20230508\t2023届高三03班\t0.957\t0.870",
"20230508\t2023届高三05班\t1.000\t1.000",
"20230508\t2023届高三06班\t1.000\t1.000",
"20230508\t2023届高三07班\t0.931\t0.862",
"20230508\t2023届高三09班\t1.000\t0.929"
],
"origin": "2023届松江区高三二模试题17", "origin": "2023届松江区高三二模试题17",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395755,7 +395942,18 @@
"ans": "(1) 证明略; (2) $\\arctan\\dfrac{2\\sqrt{5}}5$", "ans": "(1) 证明略; (2) $\\arctan\\dfrac{2\\sqrt{5}}5$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.963\t0.593",
"20230508\t2023届高三11班\t1.000\t0.905",
"20230508\t2023届高三12班\t1.000\t0.833",
"20230508\t2023届高三01班\t1.000\t0.950",
"20230508\t2023届高三02班\t0.742\t0.645",
"20230508\t2023届高三03班\t1.000\t0.783",
"20230508\t2023届高三05班\t1.000\t0.857",
"20230508\t2023届高三06班\t1.000\t0.974",
"20230508\t2023届高三07班\t0.966\t0.828",
"20230508\t2023届高三09班\t1.000\t0.571"
],
"origin": "2023届松江区高三二模试题18", "origin": "2023届松江区高三二模试题18",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395777,7 +395975,18 @@
"ans": "(1) $43.3$亿元; (2) (i) 全款购车两年后资产总额为$0.0322a$万元, 分期付款购车两年后资产总额为$0.0233a$万元, 应选择全款购车; (ii) $a<21.2134$, 这一措施对购买A, B, C车型有效", "ans": "(1) $43.3$亿元; (2) (i) 全款购车两年后资产总额为$0.0322a$万元, 分期付款购车两年后资产总额为$0.0233a$万元, 应选择全款购车; (ii) $a<21.2134$, 这一措施对购买A, B, C车型有效",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.963\t0.852",
"20230508\t2023届高三11班\t0.952\t0.667",
"20230508\t2023届高三12班\t0.944\t0.889",
"20230508\t2023届高三01班\t1.000\t1.000",
"20230508\t2023届高三02班\t0.935\t0.516",
"20230508\t2023届高三03班\t0.957\t0.696",
"20230508\t2023届高三05班\t0.971\t0.857",
"20230508\t2023届高三06班\t0.949\t0.846",
"20230508\t2023届高三07班\t0.828\t0.483",
"20230508\t2023届高三09班\t0.786\t0.357"
],
"origin": "2023届松江区高三二模试题19", "origin": "2023届松江区高三二模试题19",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395799,7 +396008,18 @@
"ans": "(1) $C_1:\\dfrac{x^2}2+y^2=1$, $C_2:\\dfrac{x^2}2-y^2=1$; (2) $y=\\dfrac 12 x$或$y=-\\dfrac 12 x$; (3) $2$", "ans": "(1) $C_1:\\dfrac{x^2}2+y^2=1$, $C_2:\\dfrac{x^2}2-y^2=1$; (2) $y=\\dfrac 12 x$或$y=-\\dfrac 12 x$; (3) $2$",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.963\t0.704\t0.111",
"20230508\t2023届高三11班\t0.952\t0.857\t0.000",
"20230508\t2023届高三12班\t0.944\t0.889\t0.111",
"20230508\t2023届高三01班\t1.000\t0.850\t0.550",
"20230508\t2023届高三02班\t1.000\t0.839\t0.290",
"20230508\t2023届高三03班\t0.957\t0.826\t0.217",
"20230508\t2023届高三05班\t1.000\t0.657\t0.229",
"20230508\t2023届高三06班\t1.000\t0.872\t0.256",
"20230508\t2023届高三07班\t0.966\t0.793\t0.207",
"20230508\t2023届高三09班\t0.857\t0.500\t0.071"
],
"origin": "2023届松江区高三二模试题20", "origin": "2023届松江区高三二模试题20",
"edit": [ "edit": [
"20230414\t王伟叶" "20230414\t王伟叶"
@ -395821,7 +396041,18 @@
"ans": "(1) $g(x)=f(h(x))$; (2) 导函数为$2(2x)^{2x}(1+\\ln (2x))$, 最小值为$(\\dfrac 1{\\mathrm{e}})^{\\frac 1{\\mathrm{e}}}$; (3) 证明略", "ans": "(1) $g(x)=f(h(x))$; (2) 导函数为$2(2x)^{2x}(1+\\ln (2x))$, 最小值为$(\\dfrac 1{\\mathrm{e}})^{\\frac 1{\\mathrm{e}}}$; (3) 证明略",
"solution": "", "solution": "",
"duration": -1, "duration": -1,
"usages": [], "usages": [
"20230508\t2023届高三10班\t0.852\t0.407\t0.037",
"20230508\t2023届高三11班\t0.714\t0.143\t0.000",
"20230508\t2023届高三12班\t0.889\t0.444\t0.000",
"20230508\t2023届高三01班\t1.000\t1.000\t0.500",
"20230508\t2023届高三02班\t0.968\t0.581\t0.032",
"20230508\t2023届高三03班\t0.913\t0.739\t0.174",
"20230508\t2023届高三05班\t0.971\t0.543\t0.057",
"20230508\t2023届高三06班\t0.974\t0.462\t0.026",
"20230508\t2023届高三07班\t0.862\t0.483\t0.035",
"20230508\t2023届高三09班\t0.786\t0.500\t0.000"
],
"origin": "2023届松江区高三二模试题21", "origin": "2023届松江区高三二模试题21",
"edit": [ "edit": [
"20230414\t王伟叶", "20230414\t王伟叶",