添加高三下学期月考2填选答案

工具/文本文件/metadata.txt

@@ -1,182 +1,81 @@
 ans
-014969
+017223
-$2\sqrt{2}-3$
+$\{1\}$
 
-014970
-$[-1,0]$
 
-014971
-$11$
 
-014972
+017224
-$\dfrac{\pi}{9}$
+$1$
 
-014965
-$(-\infty,8-4\sqrt{2}]$
 
-040558
-$[0,2-\ln 2]$
 
-014966
+017225
+$\dfrac{\pi}{3}$
+
+
+
+017226
+$70$
+
+
+
+017227
+$\dfrac{1}{8}$
+
+
+
+017228
+$y=-\dfrac{1}{32}$
+
+
+
+017229
+$\dfrac{2}{3}$
+
+
+
+017230
+$36\pi$
+
+
+
+017231
+$0.1$
+
+
+
+017232
+$\dfrac{17}{32}$
+
+
+
+017233
+$[2,2^{2023}]$
+
+
+
+017234
+$[\dfrac{1}{2},+\infty)$
+
+
+
+017235
 D
 
-014968
-(1) 定值为$20$, 证明略; (2) $x=5$且$-5\le y\le 5$
-
-014973
-$\dfrac{2\sqrt{6}}3$
 
 
-040556
-(1) $[-\dfrac 43,0]$; (2) $50-6\sqrt{41}$; (3) $[2,5+3\sqrt{2}]$
 
-040560
+017236
-$(-\infty,\dfrac 12]$
-
-040563
-$(1,5)$
-
-040564
-$8$
-
-040568
-$\dfrac{29}{13}$
-
-014884
-$\{0\}\cup (1,3]$
-
-014887
-$(-\infty,-5]$
-
-014894
 B
 
-014897
-$(-\infty,-\dfrac 49)$
-
-014891
-(1) 证明略; (2) $f(x)=-\dfrac x{2+x}$; (3) $(\dfrac{1}{101},\dfrac{1}{99})$
 
 
-014725
-$2$或$\sqrt{6}$
 
-014924
+017237
-$36$
-
-014926
-B
-
-014733
-$(-\infty,-\dfrac{\sqrt{3a}}3]$和$[\dfrac{\sqrt{3a}}3,+\infty)$
-
-014882
-(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)
-
-014931
-$36$
-
-014736
-$(-\infty,-2]\cup [\dfrac 12,+\infty)$
-
-014930
-D
-
-014922
-$a=0$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
-
-014925
-证明略
-
-
-014943
-$(\dfrac 32,2)$
-
-014909
-(1) $[-1,6]$; (2) $[-13,9]$
-
-031397
-$\{\dfrac 12\}$
-
-031398
-证明略
-
-031399
-(1) 存在, 理由略; (2) 存在, 理由略; (3) 存在, 理由略
-
-014944
-$12\pi$
-
-031400
-$(-\infty,-6)\cup (6,+\infty)$
-
-014989
-\textcircled{2}\textcircled{3}
-
-031401
-$\sqrt{10}$
-
-014910
-(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
-
-014987
-$4\pi$
-
-014913
-(1) $d(P_1,l_1)=1$, $d(P_2,l_1)=\sqrt{5}$;\\
-(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
-(1) 证明略; (2) $[-\dfrac 14,+\infty)$
-
-014914
-(1) 是$T$点列, 理由略; (2) 是钝角三角形, 证明略; (3) 证明略
-
-014911
-$(2,3)$
-
-014991
-A
-
-014992
 C
 
-014994
-\textcircled{2}\textcircled{4}
 
-014946
-证明略
 
-014995
-(1) $2,5,8,11,8,5,2$;\\
-(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
+017238
-是奇函数, 证明略
+D
-
-014901
-\textcircled{3}
-
-014918
-(1) 证明略; (2) 证明略
-
-014919
-(1) 不是有界数列, 理由略; (2) 不是有界数列, 理由略
-
-014917
-是周期函数, 证明略
-
-014915
-证明略
-
-014905
-(1) $a_n=n+5$, $b_n=3n+2$; (2) 存在, $m=11$
-
-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$[-1,-\dfrac 12]\cup [\dfrac 52,5]$

题库0.3/Problems.json

@@ -440206,7 +440206,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{1\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440226,7 +440226,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440246,7 +440246,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440266,7 +440266,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$70$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440286,7 +440286,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{8}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440306,7 +440306,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$y=-\\dfrac{1}{32}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440326,7 +440326,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{2}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440346,7 +440346,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$36\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440366,7 +440366,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$0.1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440386,7 +440386,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{17}{32}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440406,7 +440406,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[2,2^{2023}]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440426,7 +440426,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[\\dfrac{1}{2},+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440446,7 +440446,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440466,7 +440466,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440486,7 +440486,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -440506,7 +440506,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],