From dca3874ea475074b493a8aadd8be1b5c2d768061 Mon Sep 17 00:00:00 2001
From: "weiye.wang" <kj_wangweiye@126.com>
Date: Sat, 17 Feb 2024 10:35:56 +0800
Subject: [PATCH] =?UTF-8?q?=E6=B7=BB=E5=8A=A0=E8=8B=A5=E5=B9=B2=E7=AD=94?=
 =?UTF-8?q?=E6=A1=88?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 题库0.3/Problems.json | 34 +++++++++++++++++-----------------
 1 file changed, 17 insertions(+), 17 deletions(-)

diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json
index 8c5cc179..eb6d2643 100644
--- a/题库0.3/Problems.json
+++ b/题库0.3/Problems.json
@@ -269148,7 +269148,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\{\\alpha|180^\\circ+k\\cdot 360^\\circ<\\alpha<270^\\circ+k\\cdot 360^\\circ, \\ k\\in \\mathbf{Z}\\}$, $\\{\\alpha|\\alpha=90^\\circ+k\\cdot 360^\\circ, \\ k\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269173,7 +269173,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $45^\\circ$, 第一象限; (2) $185.3^\\circ$, 第三象限; (3) $350^\\circ$, 第四象限; (4) $170^\\circ$, 第一象限",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269195,7 +269195,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{\\pi}{12}$; (2) $-\\dfrac{3}{5}\\pi$; (3) $\\dfrac{\\pi}{8}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269217,7 +269217,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $165^\\circ$; (2) $-72^\\circ$; (3) 约$-171.89^\\circ$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269242,7 +269242,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "弧长为$3\\pi\\text{cm}$, 面积为$15\\pi\\text{cm}^2$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -269264,7 +269264,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "第二象限或第四象限",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -496934,7 +496934,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 第二象限; (2) 第四象限",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -496956,7 +496956,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$S=\\{\\beta|\\beta=k\\cdot 360^\\circ-200^\\circ, \\ k\\in \\mathbf{Z}\\}$; $-200^\\circ$, $160^\\circ$与$520^\\circ$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497022,7 +497022,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\alpha=65^\\circ$, $\\beta=15^\\circ$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497044,7 +497044,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) $\\dfrac{5}{12}\\pi$弧度; (2) 约$1.309$弧度",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497066,7 +497066,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "约$120.32^\\circ$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497110,7 +497110,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\dfrac{323}{1800}\\pi$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497132,7 +497132,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "(1) 证明略; (2) 证明略; (3) 证明略",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497154,7 +497154,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "$\\{\\alpha|\\alpha=k\\pi, \\ k\\in \\mathbf{Z}\\}$",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497176,7 +497176,7 @@
             "第三单元"
         ],
         "genre": "解答题",
-        "ans": "",
+        "ans": "第一象限或第三象限",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -497220,7 +497220,7 @@
             "第三单元"
         ],
         "genre": "选择题",
-        "ans": "",
+        "ans": "B",
         "solution": "",
         "duration": -1,
         "usages": [],
@@ -666488,7 +666488,7 @@
             "第三单元"
         ],
         "genre": "4em",
-        "ans": "",
+        "ans": "$\\alpha$的范围为$\\{\\alpha|270^\\circ+k\\cdot 360^\\circ<\\alpha<(k+1)\\cdot 360^\\circ, \\ k\\in \\mathbf{Z}\\}$, $\\dfrac{\\alpha}{2}$的范围为$\\{\\beta|135^\\circ+k\\cdot 180^\\circ<\\beta<(k+1)\\cdot 180^\\circ, \\ k\\in \\mathbf{Z}\\}$, 示意图如下:\n\\begin{center}\n\\begin{tikzpicture}[>=latex]\n\\draw [->] (1,0) -- (1.1,0) node [below] {$x$};\n\\draw [->] (0,-1) -- (0,1) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\fill [pattern = north east lines] (0,0) -- (135:1) arc (135:180:1) (180:1) -- cycle;\n\\fill [pattern = north east lines] (0,0) -- (315:1) arc (315:360:1) (360:1) -- cycle;\n\\draw [thick, dashed] (-1,0) -- (1,0) (135:1) -- (315:1);\n\\end{tikzpicture}\n\\end{center}",
         "solution": "",
         "duration": -1,
         "usages": [],