diff --git a/工具v2/文本文件/metadata.txt b/工具v2/文本文件/metadata.txt index 2dc079bd..be8f0483 100644 --- a/工具v2/文本文件/metadata.txt +++ b/工具v2/文本文件/metadata.txt @@ -1,24 +1,65 @@ -remark +ans +018418 +证明略 +018419 +正三角形 -021631 -(20240319主要错因) (2)能找到符合要求的锐角或者钝角, 但不能正确写出其它的角 +018420 +$\sqrt{17}$或$\sqrt{65}$ -021623 -(20240319主要错因) 没按题目要求写出形状; 基本不等式没有写出何时取等号; 不能正确运用基本不等式求解最值 +018421 +(1) $x=\arcsin\dfrac{1}{3}+2k\pi$或$\pi-\arcsin\dfrac{1}{3}+2k\pi$, $k\in \mathbf{Z}$; (2) $x=\pi-\arccos\dfrac{3}{5}$; (3) $x=\pi-\arctan 3$ -021627 -(20240319主要错因) 方法不会 +009585 +$\sqrt{21}$ -021628 -(20240319主要错因) (3)没能清楚阐述如何根据题目条件确定角的范围; 不能根据题目条件取舍解 +009586 +证明略 + +009587 +证明略 + +009588 +(1) $x=\arcsin\dfrac{3}{5}$; (2) $x=\pi-\arccos\dfrac{2}{3}$; (3) $x=-\arctan 2$; (4) $x=-\arcsin\dfrac{2}{3}+2k\pi$或$\pi+\arcsin\dfrac{2}{3}+2k\pi$, $k\in \mathbf{Z}$ 018423 -(20240319主要错因) (2)方法不会; 不能正确运用基本不等式求解最值; 基本不等式没有写出何时取等号 +(1) $\dfrac{2\pi}{3}$; (2) $\dfrac{4\sqrt{3}}{3}$ + +018424 +正三角形 + +006417 +证明略 024616 -(20240319主要错因) 方法不会 +证明略 024617 -(20240319主要错因) 没能清楚阐述如何根据题目条件确定角的范围 \ No newline at end of file +等腰三角形($C$为顶角)或直角三角形($c$为斜边) + +018425 +高度约为$420$米 + +018426 +距离为$21$海里 + +018427 +约南偏西$58.21^\circ$($140^\circ-\arccos\dfrac{1}{7}$) + +009589 +$6\sqrt{2}$海里 + +009590 +北偏东约$28.13^\circ$方向追击走私船 + +009591 +隧道$DE$的长约为$421$米 + +018428 +(1) $3\sqrt{3}-3$千米; (2) $S=\sqrt{48t^2-24t+7}$, $t\in [0,+\infty)$($t\in [0,\dfrac{3}{4}]$, $t\in [0,\dfrac{3\sqrt{3}}{4}-1]$等均有道理) + +018433 +(1) 约为$16.310$千米; (2) 约为$35.752$千米 + diff --git a/题库0.3/Problems.json b/题库0.3/Problems.json index da1c3b76..ee05848f 100644 --- a/题库0.3/Problems.json +++ b/题库0.3/Problems.json @@ -190706,7 +190706,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -273968,7 +273968,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\sqrt{21}$", "solution": "", "duration": -1, "usages": [], @@ -273990,7 +273990,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [ @@ -274017,7 +274017,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -274041,7 +274041,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $x=\\arcsin\\dfrac{3}{5}$; (2) $x=\\pi-\\arccos\\dfrac{2}{3}$; (3) $x=-\\arctan 2$; (4) $x=-\\arcsin\\dfrac{2}{3}+2k\\pi$或$\\pi+\\arcsin\\dfrac{2}{3}+2k\\pi$, $k\\in \\mathbf{Z}$", "solution": "", "duration": -1, "usages": [], @@ -274063,7 +274063,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "$6\\sqrt{2}$海里", "solution": "", "duration": -1, "usages": [], @@ -274085,7 +274085,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "北偏东约$28.13^\\circ$方向追击走私船", "solution": "", "duration": -1, "usages": [], @@ -274107,7 +274107,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "隧道$DE$的长约为$421$米", "solution": "", "duration": -1, "usages": [], @@ -509335,7 +509335,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -509357,7 +509357,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "正三角形", "solution": "", "duration": -1, "usages": [], @@ -509379,7 +509379,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "$\\sqrt{17}$或$\\sqrt{65}$", "solution": "", "duration": -1, "usages": [], @@ -509401,7 +509401,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $x=\\arcsin\\dfrac{1}{3}+2k\\pi$或$\\pi-\\arcsin\\dfrac{1}{3}+2k\\pi$, $k\\in \\mathbf{Z}$; (2) $x=\\pi-\\arccos\\dfrac{3}{5}$; (3) $x=\\pi-\\arctan 3$", "solution": "", "duration": -1, "usages": [], @@ -509445,7 +509445,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $\\dfrac{2\\pi}{3}$; (2) $\\dfrac{4\\sqrt{3}}{3}$", "solution": "", "duration": -1, "usages": [], @@ -509467,7 +509467,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "正三角形", "solution": "", "duration": -1, "usages": [], @@ -509489,7 +509489,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "高度约为$420$米", "solution": "", "duration": -1, "usages": [], @@ -509511,7 +509511,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "距离为$21$海里", "solution": "", "duration": -1, "usages": [], @@ -509533,7 +509533,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "约南偏西$58.21^\\circ$($140^\\circ-\\arccos\\dfrac{1}{7}$)", "solution": "", "duration": -1, "usages": [], @@ -509555,7 +509555,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) $3\\sqrt{3}-3$千米; (2) $S=\\sqrt{48t^2-24t+7}$, $t\\in [0,+\\infty)$($t\\in [0,\\dfrac{3}{4}]$, $t\\in [0,\\dfrac{3\\sqrt{3}}{4}-1]$等均有道理)", "solution": "", "duration": -1, "usages": [], @@ -509669,7 +509669,7 @@ "第三单元" ], "genre": "解答题", - "ans": "", + "ans": "(1) 约为$16.310$千米; (2) 约为$35.752$千米", "solution": "", "duration": -1, "usages": [], @@ -683738,7 +683738,7 @@ "第三单元" ], "genre": "4em", - "ans": "", + "ans": "证明略", "solution": "", "duration": -1, "usages": [], @@ -683763,7 +683763,7 @@ "第三单元" ], "genre": "4em", - "ans": "", + "ans": "等腰三角形($C$为顶角)或直角三角形($c$为斜边)", "solution": "", "duration": -1, "usages": [],