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{
  "data": {
    "originOcr": "8.如图·四边形ABCO是平行四边形,OA = 2 , AB = 6,点C在x轴的负半轴上，将 \\square ABCO绕点A逆时针旋转得到\\square ADEF , AD经过点0点F恰好落在x轴的正半轴 上.若点D在反比例函数y = \\frac { k } { x } ( x < 0 )的图象上,求k的值 M 0F 1 E o m (第8 题)",
    "queryOption": "",
    "questions": [
      {
        "score": 0.8785046728971962,
        "summaryAnswer": "查看详解",
        "answer": "<img src=\"http://nos.netease.com/yd-searchq/d071de90-01d9-4b7c-adb5-97dca14d99ad.jpg\" /> <br />解&#xff1a;如图所示&#xff1a;过点D作DM⊥x轴于点M&#xff0c;<br />由题意可得&#xff1a;∠BAO&#61;∠OAF&#xff0c;AO&#61;AF&#xff0c;AB∥OC&#xff0c;<br />则∠BAO&#61;∠AOF&#61;∠AFO&#61;∠OAF&#xff0c;<br />故∠AOF&#61;60°&#61;∠DOM&#xff0c;<br />∵OD&#61;AD-OA&#61;AB-OA&#61;6-2&#61;4&#xff0c;<br />∴MO&#61;2&#xff0c;MD&#61;2 \\( \\sqrt{3} \\) &#xff0c;<br />∴D(-2&#xff0c;-2 \\( \\sqrt{3} \\) )&#xff0c;<br />∴k&#61;-2×(-2 \\( \\sqrt{3} \\) )&#61;4 \\( \\sqrt{3} \\) &#xff0e;<br />故答案为&#xff1a;4 \\( \\sqrt{3} \\) &#xff0e;",
        "subject": "数学",
        "originQuestionBody": "如图，四边形ABCO是平行四边形，OA=2，AB=6，点C在x轴的负半轴上，将▱ABCO绕点A逆时针旋转得到▱ADEF，AD经过点O，点F恰好落在x轴的正半轴上，若点D在反比例函数y= 攟{k}{x} (x＜0)的图象上，则k的值为__．",
        "id": "6fafd4fdf4e6640051eadf6009cef578",
        "analysis": "此题主要考查了平行四边形的性质以及反比例函数图象上点的坐标特征&#xff0c;正确得出D点坐标是解题关键&#xff0e;",
        "type": "",
        "questionBody": "如图 四边形ABCO是平行四边形 OA=2 AB=6 点C在x轴的负半轴上 将▱ABCO绕点A逆时针旋转得到▱ADEF AD经过点O 点F恰好落在x轴的正半轴上 若点D在反比例函数y= 攟 k x x<0 的图象上 则k=为_．",
        "content": "<img src=\"http://nos.netease.com/yd-searchq/48dfdbc1-86ad-4759-93e9-3b05915c3dfa.jpg\" /> <br />如图&#xff0c;四边形ABCO是平行四边形&#xff0c;OA&#61;2&#xff0c;AB&#61;6&#xff0c;点C在x轴的负半轴上&#xff0c;将▱ABCO绕点A逆时针旋转得到▱ADEF&#xff0c;AD经过点O&#xff0c;点F恰好落在x轴的正半轴上&#xff0c;若点D在反比例函数y&#61; \\( \\frac{k}{x} \\) (x&#xff1c;0)的图象上&#xff0c;则k的值为<br />__&#xff0e;",
        "knowledge": "/函数/反比例函数/反比例函数图象上点的坐标特征#/图形的性质/四边形/平行四边形的性质"
      },
      {
        "score": 0.8785046728971962,
        "summaryAnswer": "查看详解",
        "answer": "<p>\\( 4\\sqrt {3} \\)</p>",
        "subject": "数学",
        "originQuestionBody": "如图,四边形ABCO是平行四边形,OA=2,AB=6,点C在x轴的负半轴上,将□ABCO绕点A逆时针旋转得到□ADEF,AD经过点O,点F恰好落在x轴的正半轴上.若点D在反比例函数 y=攟{k} {x}(x<0) 的图象上,求k的值.",
        "id": "7aa942076104be5f70961fd61f82bdf1",
        "analysis": "<p><img src=\"http://nos.netease.com/yd-searchq/ba83c08a-50f2-4c94-bc9a-99f9b9a2f5ea.png\" title=\"1560859588350.png\" alt=\"图片\"/></p><p>如图所示:过点D作DM⊥x轴于点M,由题意可得:</p><p>∠BAO=∠OAF,AO=AF,AB∥OC,</p><p>则∠BAO=∠AOF=∠AFO=∠OAF,</p><p>故∠AOF=60°=∠DOM,</p><p>∵OD=AD-OA=AB-OA=6-2=4,</p><p>∴MO=2,\\( MD=2\\sqrt {3} \\),</p><p>∴\\( D(-2,-2\\sqrt {3}) \\),</p><p>∴\\( k=-2\\times (-2\\sqrt {3})=4\\sqrt {3} \\).</p><p><br/></p>",
        "type": "",
        "questionBody": "如图 四边形ABCO是平行四边形 OA=2 AB=6 点C在x轴的负半轴上 将□ABCO绕点A逆时针旋转得到□ADEF AD经过点O 点F恰好落在x轴的正半轴上.若点D在反比例函数 y=攟 k x x<0 的图象上 则k=.",
        "content": "<p>如图,四边形ABCO是平行四边形,OA=2,AB=6,点C在x轴的负半轴上,将<em>□</em>ABCO绕点A逆时针旋转得到<em>□</em>ADEF,AD经过点O,点F恰好落在x轴的正半轴上.若点D在反比例函数\\( y=\\frac {k} {x}(x&lt;0) \\)的图象上,求k的值.<br/></p><p><img src=\"http://nos.netease.com/yd-searchq/a11d0310-bfed-49c9-b8bc-7d50d37641ab.png\" title=\"1560859358878.png\" alt=\"图片\"/></p><p><br/></p><p><br/></p>",
        "knowledge": ""
      },
      {
        "score": 0.8691588785046729,
        "summaryAnswer": "查看详解",
        "answer": "<p><br/></p><p>\\( 4\\sqrt {3} \\) </p>",
        "subject": "数学",
        "originQuestionBody": "如图,四边形ABCO是平行四边形,OA =2,AB=6,点C在x轴的负半轴上,将四边形ABCO绕点A逆时针旋转得到四边形ADEF,AD经过点O,点F恰好落在x轴的正半轴上,若点D在反比例函数 y=攟{k} {x} (x<0)的图象上,则k的值为______",
        "id": "f40fe03c2c4e0769f1fda6b5e8f30591",
        "analysis": "<p><br/></p><p style=\"white-space: normal;\">过点D作DM⊥x轴于点M, 由题意可得∠BAO = ∠OAF,AO = AF, AB∥OC,则∠BAO= ∠AOF= ∠AFO = ∠OAF,∴∠AOF=60°,∴∠DOM=60°, ∴∠ODM =30°</p><p style=\"white-space: normal;\">∵OD = AD-OA = AB-OA=6-2=4, ∴MO =2,  \\( MD=2\\sqrt {3} \\). ∴D点的坐标为(-2,\\( -2\\sqrt {3} \\)),∴\\( k=-2\\times (-2\\sqrt {3})=4\\sqrt {3} \\)</p><p style=\"white-space: normal;\"><br/></p>",
        "type": "",
        "questionBody": "如图 四边形ABCO是平行四边形 OA =2 AB=6 点C在x轴的负半轴上 将四边形ABCO绕点A逆时针旋转得到四边形ADEF AD经过点O 点F恰好落在x轴的正半轴上 若点D在反比例函数 y=攟 k x x<0 的图象上 则k=为_",
        "content": "<p><br/></p><p>如图,四边形ABCO是平行四边形,OA =2,AB=6,点C在x轴的负半轴上,将四边形ABCO绕点A逆时针旋转得到四边形ADEF,AD经过点O,点F恰好落在x轴的正半轴上,若点D在反比例函数\\( y=\\frac {k} {x} \\)(x&lt;0)的图象上,则k的值为______</p><p><img src=\"http://nos.netease.com/yd-searchq/1317bd1f-1b9a-4a6c-b595-3d630a694095.png\" title=\"1538221666664.png\" alt=\"图片\"/></p>",
        "knowledge": ""
      }
    ],
    "queryText": "如图·四边形ABCO是平行四边形,OA = 2 , AB = 6,点C在x轴的负半轴上，将 ABCO绕点A逆时针旋转得到 ADEF , AD经过点0点F恰好落在x轴的正半轴上.若点D在反比例函数y = 攟{ k } { x } ( x < 0 )的图象上,求k的值 M 0F 1 E o m (第8 题)",
    "text": "如图·四边形ABCO是平行四边形,OA = 2 , AB = 6,点C在x轴的负半轴上，将 ABCO绕点A逆时针旋转得到 ADEF , AD经过点0点F恰好落在x轴的正半轴上.若点D在反比例函数y = 攟{ k } { x } ( x < 0 )的图象上,求k的值 M 0F 1 E o m (第8 题)"
  },
  "errorCode": "0"
}