diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 8267d48d..f09cdc98 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -96877,7 +96877,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "四",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269456,7 +269456,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sin{\\frac{5}{3}\\pi}=-\\frac{\\sqrt{3}}{2}$, $\\cos{\\frac{5}{3}\\pi}=0.5$, $\\tan{\\frac{5}{3}\\pi}=-\\sqrt{3}$, $\\cot{\\frac{5}{3}\\pi}=-\\frac{\\sqrt{3}}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269478,7 +269478,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sin k\\pi=0$, $\\cos k\\pi=(-1)^k$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269504,7 +269504,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sin{\\alpha}=-\\frac{2\\sqrt{5}}{5}$, $\\tan{\\alpha}=2$, $\\cot{\\alpha}=\\frac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269528,7 +269528,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sin{\\alpha}=\\frac{3\\sqrt{10}}{10}$, $\\cos{\\alpha}=\\frac{\\sqrt{10}}{10}$, $\\tan{\\alpha}=3$; $\\sin{\\alpha}=-\\frac{3\\sqrt{10}}{10}$, $\\cos{\\alpha}=-\\frac{\\sqrt{10}}{10}$, $\\tan{\\alpha}=3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269554,7 +269554,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{7}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269581,7 +269581,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$1$;$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269603,7 +269603,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269625,7 +269625,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269647,7 +269647,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{2}}{2}$; $-\\dfrac{\\sqrt{3}}{2}$; $\\sqrt{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269669,7 +269669,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-3$; $\\sin \\alpha$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269691,7 +269691,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269715,7 +269715,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\cos \\alpha$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497592,7 +497592,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\cos{\\alpha}=-0.8$, $\\tan{\\alpha}=-0.75$, $\\cot{\\alpha}=-\\frac{4}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497614,7 +497614,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "当$\\alpha$为第二象限角时，$\\sin{\\alpha}=\\frac{5}{13}$, $\\cos{\\alpha}=-\\frac{12}{13}$; 当$\\alpha$为第四象限角时，$\\sin{\\alpha}=-\\frac{5}{13}$, $\\cos{\\alpha}=\\frac{12}{13}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497636,7 +497636,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sin{\\alpha}=-\\frac{m}{\\sqrt{m^2+1}}$, $\\cos{\\alpha}=-\\frac{1}{\\sqrt{m^2+1}}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497658,7 +497658,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\frac{9\\sqrt{2}}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -497692,7 +497692,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\frac{3\\sqrt{5}}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -497726,7 +497726,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\frac{12}{13},\\frac{4}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -497804,7 +497804,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\dfrac{12}{25}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497826,7 +497826,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{7}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497872,7 +497872,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497918,7 +497918,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498008,7 +498008,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{3}}{2}$; $-\\dfrac{\\sqrt{3}}{2}$; 1",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498030,7 +498030,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498052,7 +498052,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$1$, $-1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498098,7 +498098,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498122,7 +498122,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\cos \\alpha$; $\\sin \\alpha$; $-\\cot \\alpha$; $-\\tan \\alpha$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498144,7 +498144,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\cos \\alpha$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498166,7 +498166,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\dfrac{4}{5},-\\dfrac{3}{5})$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498188,7 +498188,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(1,-1)$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498210,7 +498210,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\dfrac{\\sqrt{15}}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -498233,7 +498233,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 原式=$\\begin{cases}\n\\sin \\alpha, & k=4m;\\\\\n\\cos \\alpha, &k=4m+1;\\\\\n-\\sin \\alpha, &k=4m+2;\\\\\n-\\cos \\alpha,& k=4m+3,\\end{cases}$, $m\\in \\mathbf{Z}$; (2)  原式=$\\begin{cases}\n\\cos \\alpha, & k=4m;\\\\ \\sin \\alpha, & k=4m+1;\\\\ -\\cos \\alpha, & k=4m+2;\\\\ -\\sin \\alpha, & k=4m+3,\n\\end{cases}$ $m\\in \\mathbf{Z}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667304,7 +667304,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "一, 二, 三, 四",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667328,7 +667328,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $k\\pi+\\dfrac{2\\pi}{3}$, $k\\in \\mathbf{Z}$; (2) $\\dfrac{\\pi}{2}\\pm \\dfrac{\\pi}{4}+2k\\pi$, $k\\in \\mathbf{Z}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667354,7 +667354,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $214^\\circ$, $-146^\\circ$; (2) $124^\\circ$, $-56^\\circ$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667378,7 +667378,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\pi}{2}r$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667400,7 +667400,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{1}\\textcircled{2}\\textcircled{3}\\textcircled{4}",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667422,7 +667422,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\{\\dfrac{\\pi}{2},\\pi,\\dfrac{3\\pi}{2}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667444,7 +667444,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\beta=\\dfrac{2\\pi}{7}-\\alpha+2k\\pi$, $k\\in \\mathbf{Z}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667468,7 +667468,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $\\{\\alpha|\\dfrac{\\pi}{2}+2k\\pi\\le \\alpha\\le \\dfrac{2\\pi}{3}+2k\\pi, \\ k\\in \\mathbf{Z}\\}$; (2) $\\{\\alpha|\\dfrac{\\pi}{2}+\\dfrac{k\\pi}{2}\\le \\alpha\\le \\dfrac{2\\pi}{3}+\\dfrac{k\\pi}{2}, \\ k\\in \\mathbf{Z}\\}$; (3) $\\{\\alpha|-\\dfrac{\\pi}{6}+\\dfrac{k\\pi}{2}\\le \\alpha\\le \\dfrac{\\pi}{6}+\\dfrac{k\\pi}{2}, \\ k\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667490,7 +667490,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\pm \\sqrt{11}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667515,7 +667515,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{15}}{15}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667540,7 +667540,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{21}{25}-\\sqrt{3}$; $-\\dfrac{38}{7}$或$\\dfrac{2}{7}$.",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667587,7 +667587,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$2\\sqrt{5+\\sqrt{6}-\\sqrt{2}}$; (2) $\\tan \\theta=\\dfrac{\\sin \\alpha+2\\sin \\beta}{\\cos \\alpha+2\\cos \\beta}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667609,7 +667609,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\dfrac{4}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667633,7 +667633,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)$\\dfrac{\\sqrt{14}}{3}$; (2)$-\\dfrac{18}{5}$ (3)$\\dfrac{13\\sqrt{14}}{54}$; (4)$\\dfrac{137}{162}$.",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667658,7 +667658,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\sqrt{1-\\dfrac{2\\sqrt{5}}{5}}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667683,7 +667683,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1)面积为$4$平方厘米; (2)半径为$\\dfrac{m}{4}$, 圆心角为$2$rad, 最大面积为$\\dfrac{m^2}{8}$.",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667709,7 +667709,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "圆心角为$1$rad, 半径为$\\dfrac{15}{4}$米, 最大面积为$\\dfrac{225}{32}$平方米.",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -667731,7 +667731,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "(1) $5$; (2) $\\dfrac{5}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -667759,7 +667759,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$3$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -667784,7 +667784,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{1}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -667811,7 +667811,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5\\pi}{6}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -667836,7 +667836,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$(\\dfrac{\\pi}{2},\\pi)$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -667862,7 +667862,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{7}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -667893,7 +667893,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "\\textcircled{1}\\textcircled{2}",
         "solution": "",
         "duration": -1,
         "usages": [
@@ -667919,7 +667919,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$m=3$, $\\cos\\alpha=\\dfrac{2\\sqrt{5}}{5}$, $\\tan\\alpha=-\\dfrac{1}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [