如图,在
中,
,
于点D,
.点P从点B出发,沿折线
向终点C运动,在
边上运动时速度为每秒5个单位长度,在
边上运动时速度为每秒
个单位长度,当点P不与
的顶点重合时,过点P作
于点Q,以
、
为邻边构造平行四边形
.设点P的运动时间为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/f7516d64-efb1-42b2-9327-ee43a9a3f22a.png?resizew=149)
(1)
=______;
(2)求线段
的长(用含t的代数式表示);
(3)连接
,当
是锐角三角形时,求出t的取值范围;
(4)点E是
的中点,点F是
的中点,连接
,当
与
的一边平行时,直接写出此时t的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59fe75f967e8915c9124a5d4ac420a4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b5f215a42c4b7078d8d65923eb9980e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc11331a7b2d2619b40ee6d34c3bd620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3d9c85e04bb3deba5e81279565371d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902f24325565a9dd95128a633a240da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb6ede9761b5b90f8dc137708e1ee90f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1192bffab7524e996168f0af98c647a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c34fb6c0a25aca680a1bec273244cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/7/f7516d64-efb1-42b2-9327-ee43a9a3f22a.png?resizew=149)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
(2)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
(3)连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2b58424e893df4e01c912f87e09095.png)
(4)点E是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
22-23九年级上·吉林长春·期中 查看更多[2]
更新时间:2022-11-06 13:27:47
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相似题推荐
解答题-问答题
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困难
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解题方法
【推荐1】如图,在四边形ABCD中,已知
,E,F分别是边AB,AD上的点,
,连结BD,EF,
与
互补,动点Q在边CD上从点C向终点D匀速运动,同时,动点P在边EF上从点F向终点E匀速运动,它们同时到达终点.记
的面积为S,已知
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/3/3258f10e-8b95-4884-aef0-b62f154c5398.png?resizew=224)
(1)判断EF与BD的位置关系,并说明理由.
(2)若
,求CD,EF的长.
(3)在(2)的条件下,连结QE交BD于点H,当AP所在直线经过
的一个顶点时,求所有满足条件的x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13805ddb0cfadf7e3d521b99f97444d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82a6574405000dab3fec93b438aa2de0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a72dfbf0138a611174c36ce077e0c47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2ee75a234ac05a3225e49ddd8c5065.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cbc6233f25f06e2036853a360b7cbc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6fa2a548f3fd39e10b86340aa0378df.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/3/3258f10e-8b95-4884-aef0-b62f154c5398.png?resizew=224)
(1)判断EF与BD的位置关系,并说明理由.
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
(3)在(2)的条件下,连结QE交BD于点H,当AP所在直线经过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69e70ac2a2eb20a7184cb1b80db8ee1.png)
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【推荐2】石家庄某学校数学兴趣小组利用机器人开展数学活动,在相距150个单位长度的直线跑道AB上,机器人甲从端点A出发,匀速往返于端点A、B之间,机器人乙同时从端点B出发,以大于甲的速度匀速往返于端点B、A之间.他们到达端点后立即转身折返,用时忽略不计,兴趣小组成员探究这两个机器人迎面相遇的情况,这里的“迎面相遇”包括面对面相遇、在端点处相遇这两种.
【观察】
①观察图1,若这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为30个单位长度,则他们第二次迎面相遇时,相遇地点与点A之间的距离为 个单位长度.
②若这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为35个单位长度,则他们第二次迎面相遇时,相遇地点与点A之间的距离为 个单位长度.
【发现】
设这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为x个单位长度,他们第二次迎面相遇时,相遇地点与点A之间的距离为y个单位长度,兴趣小组成员发现了y与x的函数关系,并画出了部分函数图象(线段OP,不包括点O,如图2所示)
①a= ;
②分别求出各部分图象对应的函数解析式,并在图2中补全函数图象.
![](https://img.xkw.com/dksih/QBM/2020/7/18/2508338321776640/2508745329057792/STEM/52d24ed5f933427db78111e32722720c.png?resizew=398)
【拓展】
设这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为x个单位长度,他们第三次迎面相遇时,相遇地点与点A之间的距离为y个单位长度,若这两个机器人在第三次迎面相遇时,相遇地点与点A之间的距离y不超过60个单位长度,则他们第一次迎面相遇时,相遇地点与点A之间的距离x的取值范围是 .(直接写出结果)
【观察】
①观察图1,若这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为30个单位长度,则他们第二次迎面相遇时,相遇地点与点A之间的距离为 个单位长度.
②若这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为35个单位长度,则他们第二次迎面相遇时,相遇地点与点A之间的距离为 个单位长度.
【发现】
设这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为x个单位长度,他们第二次迎面相遇时,相遇地点与点A之间的距离为y个单位长度,兴趣小组成员发现了y与x的函数关系,并画出了部分函数图象(线段OP,不包括点O,如图2所示)
①a= ;
②分别求出各部分图象对应的函数解析式,并在图2中补全函数图象.
![](https://img.xkw.com/dksih/QBM/2020/7/18/2508338321776640/2508745329057792/STEM/52d24ed5f933427db78111e32722720c.png?resizew=398)
【拓展】
设这两个机器人第一次迎面相遇时,相遇地点与点A之间的距离为x个单位长度,他们第三次迎面相遇时,相遇地点与点A之间的距离为y个单位长度,若这两个机器人在第三次迎面相遇时,相遇地点与点A之间的距离y不超过60个单位长度,则他们第一次迎面相遇时,相遇地点与点A之间的距离x的取值范围是 .(直接写出结果)
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【推荐1】我们不妨约定:若某函数图像上至少存在不同的两点关于直线y=x对称,则把该函数称为“Q函数”,其图像上关于直线y=x对称的两点叫做一对“Q点”.根据该约定,完成下列各题:
(1)在下列关于x的函数中,是“Q函数”的,请在相应题目后面的括号中打“√”,不是“Q函数”的打“×”
①y=2x( );②
( );③
( )
(2)关于x的函数y=kx-2k+2(k是常数)是“Q函数”吗?如果是,写出距离为
的一对“Q点”坐标:如果不是,请说明理由;
(3)若关于x的“Q函数”
(a,b,c是常数,a>0)的一对“Q点”A、C分别位于x轴、y轴上,求同时满足下列两个条件的“Q函数”的解析式:
①该“Q函数”截x轴所得的线段长AB为2:
②该“Q函数”截直线y=x所得的线段长MN为
.
(1)在下列关于x的函数中,是“Q函数”的,请在相应题目后面的括号中打“√”,不是“Q函数”的打“×”
①y=2x( );②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef854dfcbba9b7dedc1bc52f6332b011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa1af126503aec2f46a6a2e16c67fc12.png)
(2)关于x的函数y=kx-2k+2(k是常数)是“Q函数”吗?如果是,写出距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
(3)若关于x的“Q函数”
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90385c676848de67293e3ed6bc000fe.png)
①该“Q函数”截x轴所得的线段长AB为2:
②该“Q函数”截直线y=x所得的线段长MN为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df397b5075ae27f938b780936fd718c.png)
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【推荐2】已知:如图1,二次函数
的图像交x轴于A,B两点(A在B的左侧),过点A的直线
交该二次函数的图像于另一点
,交y轴于M.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/af1bdfca-30b6-4c2a-a549-13f843208230.png?resizew=327)
(1)直接写出A点坐标,并求该二次函数的解析式;
(2)过点B作
交
于D,若
且点Q是线段
上的一个动点,求出当
与
相似时点Q的坐标:
(3)设
,图2中连接
交二次函数的图像于另一点
,连接
交y轴于N,请你探究
的值的变化情况,若变化,求其变化范围;若不变,求其值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77aadf6f84f7916a5ad76b3dad721d30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f6525064656e455b2b95f2a076577c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/234966ff2e285995cfff106ffd608862.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/23/af1bdfca-30b6-4c2a-a549-13f843208230.png?resizew=327)
(1)直接写出A点坐标,并求该二次函数的解析式;
(2)过点B作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70734a8e672376bb0bd1522e229f86a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c605c718f7061f6cab2376c882f5972f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c3c30c66aa94afb935664dbe76501.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323eb2e41f461ac655012a986d5a27bb.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e94852797399ba119b090fa957ee3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c303bc977fff16da7e3cac14d5a606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04597cadc0f1f5035a4dca9ab70d1e08.png)
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【推荐1】如图,平面直角坐标系中,将含
的三角尺的直角顶点
落在第二象限.其斜边两端点
、
分别落在
轴的负半轴、
轴的正半轴上,且
.
![](https://img.xkw.com/dksih/QBM/2019/7/8/2242460100108288/2242524574760960/STEM/8689cc44-903c-432f-ab17-04dd197e91e2.png)
(1)若
.
①求点
的坐标;
②若点
向右滑动的距离与点
向上滑动的距离相等,求滑动的距离.
(2)求出
取最大值时点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d1084d40c152c3c7674f377c2725cfe.png)
![](https://img.xkw.com/dksih/QBM/2019/7/8/2242460100108288/2242524574760960/STEM/8689cc44-903c-432f-ab17-04dd197e91e2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05053c49516e902a2d0f810a187c1904.png)
①求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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【推荐2】如图在平面直角坐标系中,直线
与x轴交于点A,与y轴交于点B,直线
与直线
交于点P.
![](https://img.xkw.com/dksih/QBM/2022/11/26/3117916627681280/3126407444447232/STEM/03dac8ba0d55410d98cf3ed90ace6740.png?resizew=357)
(1)A点坐标为________,P点坐标为________;
(2)在线段
上有一个动点M,过M点作直线
轴,与直线
相交于点N,若
的面积为
,求M点的坐标.
(3)若点C为线段
上一动点,在平面内是否存在一点D,使得以点O,A,C,D为顶点的四边形是菱形,若存在请直接写出D点的坐标,若不存在请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e4a8d1603c9fdc37c05363d0244091.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ad38fd233acb41c8cb205da9a3c01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://img.xkw.com/dksih/QBM/2022/11/26/3117916627681280/3126407444447232/STEM/03dac8ba0d55410d98cf3ed90ace6740.png?resizew=357)
(1)A点坐标为________,P点坐标为________;
(2)在线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf20f734ac54ab0eec2e1c170a3a24f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(3)若点C为线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解题方法
【推荐1】在等腰三角形
中,
.点E为
上一点,连接
.
(1)如图1,若
,过点C作
交BE延长线于点D,连接
,过点A作
交
于点F,连接
,求证:
;
(2)如图2,过A作
交
延长线于点D,将
绕着点A逆时针旋转至
,连接
,使得
于点G,
与
交于点M,若点M为
的中点,且
,猜想线段
与
之间的数量关系,并证明你的猜想;
(3)如图3,若
,
,将
沿着
翻折得到
,点
落在BE延长线上,
交
于点P,点Q、R分别是射线
、
上的点,连接
、
、
,满足
,当
取得最大值时,直接写出
的最小值的平方.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/047dc9795efa99b6fb9fdf9778085dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/17/54d4ea60-9db0-4cbe-b68b-d25a64f3fb8f.png?resizew=582)
(1)如图1,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0a0d2a2415ec1e1374ac46bc232f450.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f345b28a81ff3d2c4666ee945a426fa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48a6f8457a8127f0dec0e52dfb198b4b.png)
(2)如图2,过A作
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3533837e3d08c461dea031a44e5424d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f22a601861b2d7c266c307e4ae05784.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72a68a81d4bb3117d4e8d7aa1757c2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
(3)如图3,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57fdd2a3642716fcf5100011eb3ec88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/077c956ac0eb05cf120e14f17413dfa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34678622f9c4d3d7f7205cbc799da3bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c8a9c4957431681ddfc77895a88508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e0f0ccc8492a0ccf1eee24867060643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d7b816eca15d4b7d060013df53edd53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5ed60567978b9f924fb14b05401e12e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f10a7a6ef1aaab3c7bbc3b891e7f7699.png)
您最近一年使用:0次
解答题-问答题
|
困难
(0.15)
【推荐2】如图,在平面直角坐标系中,二次函数
的图象与
轴交于点
和点
,与
轴交于点
,且
,动点D在直线BC下方的二次函数图象上.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/74e6e18b-60d9-454e-8016-6dd7d38320c6.png?resizew=430)
(1)求二次函数的解析式;
(2)如图1,连接
、
,设四边形
的面积为S,求S的最大值;
(3)如图2,过点
作
于点
,是否存在点
,使得
中的某个角恰好等于
的
倍,若存在,直接写出点
的横坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe6337d68cd5653767e3a1889b8b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/311497849126f1aaf1da0ec75602eabf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7291b3d921f595f28960abcdce6dfbed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed146c27df51934cd5eb6e88a3085905.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/24/74e6e18b-60d9-454e-8016-6dd7d38320c6.png?resizew=430)
(1)求二次函数的解析式;
(2)如图1,连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e52a8f07834cbbbe4224962672fbbb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d97dc3b752832906de41447bb58a341.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f011498c4983e0583dd0b973287bf9ce.png)
(3)如图2,过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07789d6a8259ac89144caa816aaaf47d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e59b7c0d4a0b312e674b7bb061240b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次