录入华二期中考试答案

工具/文本文件/metadata.txt

@@ -1,66 +1,65 @@
 ans
 
+40605
+$6$
 
-15248
+40606
-$\sqrt{10}$
+$90$
 
-15249
+40607
-$(0,+\infty)$
+$10$
 
-15250
+40608
-$11$
+$15$
 
-15251
+40609
-$-10$
+$24$
 
-15252
+40610
-$-\sin(x-\dfrac\pi 3)$
+$(0,\dfrac{9\sqrt{2}-2}4]$
 
-15253
+40611
-$-1$
+$540$
 
-15254
+40612
-$112$
+$\dfrac{16\pi}3$
 
-15255
+40613
-$5$
+$35$
 
-15256
+40614
-$2\sqrt{2}$
+\textcircled{2}\textcircled{4}
 
-15257
+40615
-$(0,\dfrac{4}{\mathrm{e}^2})$
+$[6,+\infty)$
 
-15258
+40616
-$17$
+$\log_2 \mathrm{e}$
 
-15259
+40617
-$8$
+C
 
-15260
+40618
 A
 
-15261
+40619
 D
 
-15262
+40620
-D
-
-15263
 B
 
-15264
+40621
-(1) $y=1$; (2) 最大值为$\mathrm{e}-1$, 最小值为$1$
+(1) $\dfrac{\sqrt{10}}{10}$; (2) $\dfrac{3\sqrt{5}}{5}$
 
-15265
+40622
-(1) $\arcsin\dfrac{\sqrt{6}}6$; (2) $\arccos\dfrac{2\sqrt{5}}5$或$\pi-\arccos\dfrac{2\sqrt{5}}5$
+(1) $80$; (2) $1$或$-3$
 
-15266
+40623
-(1) 在$(0,1]$上是严格减函数, 在$[1,+\infty)$上是严格增函数; (2) $(0,\dfrac{8}{13}]\cup [\sqrt{6},+\infty)$
+(1) $\pm \sqrt{3}$; (2) 存在, 点$M$的坐标为$(-3,0)$
 
-15267
+40624
-(1) $43956$; (2) $4^{99}$; (3) 当$m\in (12,\dfrac{243}{19})$时, 最大项为第$81$项; 当$m=\dfrac{243}{19}$时, 最大项为第$81$项与第$82$项; 当$m\in (\dfrac{243}{19},13)$时, 最大项为第$82$项
+(1) $\dfrac{x^2}4+y^2=1$; (2) $k=\pm 2$; (3) 定值为$\dfrac 23$, 证明略
 
-15268
+40625
-(1) $M(0,1-a,0)$, $N(\lambda a,0,0)$, $Q(\lambda,1,1)$; (2) $\lambda = \dfrac{2\sqrt{11}}{11}$; (3) 证明略
+(1) $y=-2$; (2) $k=0$或$4$; (3) $\dfrac 34-\ln 2$
 

题库0.3/Problems.json

@@ -475076,7 +475076,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$6$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475095,7 +475095,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$90$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475114,7 +475114,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$10$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475133,7 +475133,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$15$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475152,7 +475152,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$24$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475171,7 +475171,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(0,\\dfrac{9\\sqrt{2}-2}4]$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475190,7 +475190,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$540$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475209,7 +475209,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{16\\pi}3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475228,7 +475228,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$35$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475247,7 +475247,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{2}\\textcircled{4}",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475266,7 +475266,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$[6,+\\infty)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475285,7 +475285,7 @@
         "objs": [],
         "tags": [],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\log_2 \\mathrm{e}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475304,7 +475304,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "C",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475323,7 +475323,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "A",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475342,7 +475342,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "D",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475361,7 +475361,7 @@
         "objs": [],
         "tags": [],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475380,7 +475380,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{\\sqrt{10}}{10}$; (2) $\\dfrac{3\\sqrt{5}}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475399,7 +475399,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $80$; (2) $1$或$-3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475418,7 +475418,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\pm \\sqrt{3}$; (2) 存在, 点$M$的坐标为$(-3,0)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475437,7 +475437,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{x^2}4+y^2=1$; (2) $k=\\pm 2$; (3) 定值为$\\dfrac 23$, 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -475456,7 +475456,7 @@
         "objs": [],
         "tags": [],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $y=-2$; (2) $k=0$或$4$; (3) $\\dfrac 34-\\ln 2$",
         "solution": "",
         "duration": -1,
         "usages": [],