diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 22aca0f3..9e64dc6f 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -272844,7 +272844,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\{\\dfrac{\\pi}{2},\\dfrac{11\\pi}{6}\\}$; (2) $\\{x|x=k\\pi+\\dfrac{5\\pi}{24}\\text{或}k\\pi-\\dfrac{11\\pi}{24}, \\ k\\in \\mathbf{Z}\\}$; (3) $\\{x|x=\\dfrac{k\\pi}{3}+\\dfrac{\\pi}{6}, \\ k\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -272866,7 +272866,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{\\sqrt{2}}{2}$; (2) $\\dfrac{\\sqrt{3}}{2}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -272888,7 +272888,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\dfrac{7\\sqrt{2}}{26}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -272935,7 +272935,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{\\sqrt{3}}{2}$; (2) $\\sqrt{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -272957,7 +272957,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{2}}{10}$, $7$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -272979,7 +272979,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -273001,7 +273001,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sin C=\\dfrac{220}{221}$, $\\cos C=-\\dfrac{21}{221}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -273023,7 +273023,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\sin(\\alpha+\\beta)=\\dfrac{33}{65}$, $\\cos(\\alpha+\\beta)=-\\dfrac{56}{65}$, $\\alpha+\\beta$是第二象限角",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -273047,7 +273047,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\sqrt{2}\\sin(\\alpha+\\dfrac{\\pi}{4})$; (2) $2\\sin(\\alpha+\\dfrac{2\\pi}{3})$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -273137,7 +273137,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -273159,7 +273159,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -273181,7 +273181,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504201,7 +504201,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $x=\\dfrac{\\pi}{3}+2k\\pi$或$\\dfrac{2\\pi}{3}+2k\\pi$, $k\\in \\mathbf{Z}$; (2) $x=\\pm \\dfrac{3\\pi}{4}+2k\\pi$, $k\\in \\mathbf{Z}$; (3) $x=k\\pi+\\dfrac{\\pi}{6}$, $k\\in \\mathbf{Z}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504223,7 +504223,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\{\\dfrac{\\pi}{6},\\dfrac{\\pi}{3},\\dfrac{7\\pi}{6},\\dfrac{4\\pi}{3}\\}$; (2) $\\{x|x=2k\\pi+\\dfrac{\\pi}{12}\\text{或}x=2k\\pi-\\dfrac{5\\pi}{12}, \\ k\\in \\mathbf{Z}\\}$; (3) $\\{x|x=\\dfrac{k\\pi}{2}+\\dfrac{\\pi}{4}, \\ k\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504268,7 +504268,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $x=-\\dfrac{\\pi}{2}+2k\\pi$, $k\\in \\mathbf{Z}$; (2) $x=\\pm \\dfrac{\\pi}{6}+2k\\pi$, $k\\in \\mathbf{Z}$; (3) $x=\\dfrac{\\pi}{4}+k\\pi$, $k\\in \\mathbf{Z}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504338,7 +504338,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{6}-\\sqrt{2}}{4}$, $\\dfrac{\\sqrt{6}+\\sqrt{2}}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504360,7 +504360,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\dfrac{56}{65}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504404,7 +504404,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504426,7 +504426,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\dfrac{4}{5}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504448,7 +504448,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{\\sqrt{3}}{2}$; (2) $\\cos 2\\alpha$; (3) $-\\cos 3x$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504470,7 +504470,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{6}-\\sqrt{2}}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504492,7 +504492,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504514,7 +504514,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $-1$; (2) $\\dfrac{1}{7}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504536,7 +504536,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$-\\sqrt{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504624,7 +504624,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504646,7 +504646,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$(-\\dfrac{\\sqrt{2}}{2},\\dfrac{3\\sqrt{2}}{2})$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504668,7 +504668,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\sin(\\alpha+\\dfrac{\\pi}{3})$; (2) $\\sqrt{2}\\sin(\\alpha-\\dfrac{\\pi}{4})$; (3) $5\\sin(\\alpha+\\varphi)$, 其中$\\cos\\varphi=\\dfrac{3}{5}$, $\\sin\\varphi=\\dfrac{4}{5}$; (4) $\\sqrt{a^2+b^2}\\sin(\\alpha+\\varphi)$, 其中$\\cos\\varphi=\\dfrac{a}{\\sqrt{a^2+b^2}}$, $\\sin\\varphi=\\dfrac{b}{\\sqrt{a^2+b^2}}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -504736,7 +504736,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{\\sqrt{6}-\\sqrt{2}}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -505002,7 +505002,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -505024,7 +505024,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -505046,7 +505046,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -505068,7 +505068,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -677604,7 +677604,7 @@
             "第三单元"
         ],
         "genre": "4em",
-        "ans": "",
+        "ans": "$\\{\\alpha|\\alpha=2k\\pi\\text{或}\\dfrac{2\\pi}{3}+2k\\pi, \\ k\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -744825,7 +744825,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$\\dfrac{5\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -744847,7 +744847,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-1$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -744869,7 +744869,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{\\pi}{3}$或$\\dfrac{4\\pi}{3}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -744891,7 +744891,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-3$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -744913,7 +744913,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -744935,7 +744935,7 @@
             "第三单元"
         ],
         "genre": "填空题",
-        "ans": "",
+        "ans": "$-\\dfrac{\\sqrt{23}}{4}$",
         "solution": "",
         "duration": -1,
         "usages": [],