综合与实践
在一次综合实践活动课上,王老师给每位同学各发了一张正方形纸片,请同学们思考如何仅通过折纸的方法来确定正方形一边上的一个三等分点.
【操作探究】
“乘风”小组的同学经过一番思考和讨论交流后,进行了如下操作:
第1步:如图1所示,先将正方形纸片
对折,使点A与点B重合,然后展开铺平,折痕为
;
第2步:将
边沿
翻折到
的位置;
第3步:延长
交
于点H,则点H为
边的三等分点.
第1步:如图2所示,先将正方形纸片对折,使点A与点B重合,然后展开铺平,折痕为
;
第2步:再将正方形纸片对折,使点B与点D重合,再展开铺平,折痕为
,沿
翻折得折痕
交
于点G;
第3步:过点G折叠正方形纸片
,使折痕
.
【过程思考】
(1)“乘风”小组的证明过程中,三个空的所填的内容分别是①:______,②:______,③:______;
(2)结合“破浪”小组操作过程,判断点M是否为
边的三等分点,并证明你的结论;
【拓展提升】
如图3,在菱形
中,
,
,E是
上的一个三等分点,记点D关于
的对称点为
,射线
与菱形
的边交于点F,请直接写出
的长.
在一次综合实践活动课上,王老师给每位同学各发了一张正方形纸片,请同学们思考如何仅通过折纸的方法来确定正方形一边上的一个三等分点.
【操作探究】
“乘风”小组的同学经过一番思考和讨论交流后,进行了如下操作:
第1步:如图1所示,先将正方形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
第2步:将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e5f736b1195fef1d2d300168a795f1.png)
第3步:延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
证明过程如下:连接![]() ∵正方形 ![]() ![]() ∴ ![]() 又∵ ![]() ∴ ![]() ∴ ![]() 由题意可知E是 ![]() ![]() ![]() 则 ![]() 在 ![]() 解得: ![]() ![]() |
第1步:如图2所示,先将正方形纸片对折,使点A与点B重合,然后展开铺平,折痕为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
第2步:再将正方形纸片对折,使点B与点D重合,再展开铺平,折痕为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
第3步:过点G折叠正方形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ff3c1ea812dbddf9c5752e45e3713a7.png)
【过程思考】
(1)“乘风”小组的证明过程中,三个空的所填的内容分别是①:______,②:______,③:______;
(2)结合“破浪”小组操作过程,判断点M是否为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
【拓展提升】
如图3,在菱形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454328a8e75953fdb0835ce80d9566e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5b3bd5e6bc2a0a277d279bb01af9584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d226aef207ce71a381d6f63801cc9d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557f8ff92d79a9d464ff13de17f3eae7.png)
更新时间:2024-02-24 12:45:18
|
相似题推荐
解答题-问答题
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【推荐1】如图,直线
与x轴、y轴分别交于点
,点P在x轴上运动,连接
,将
沿直线
折叠,点O的对应点记为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/96af7178-d4ee-44b2-9faf-1b93985c5316.png?resizew=416)
(1)求k、b的值;
(2)在x轴上是否存在点C,使得
为等腰三角形?若存在,求出点C的坐标;若不存在,说明理由.
(3)若点
恰好落在直线
上,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a158301c236edc0158410ae3114d5def.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48db8d4364b2e19b419b9bf33f5a35f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/18/96af7178-d4ee-44b2-9faf-1b93985c5316.png?resizew=416)
(1)求k、b的值;
(2)在x轴上是否存在点C,使得
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e428e7a09732be85c1224e9c8f6a71c5.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12fe32dfbd66709875c5b9f79c9496da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48db8d4364b2e19b419b9bf33f5a35f3.png)
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【推荐2】在△ABC中,∠ABC=90°,∠ACB=30°.在△AEF中,∠AFE=90°,∠AEF=30°,AE=AB,连接CE,点G是CE的中点.将△AEF绕点A顺时针旋转α(0<α<360°).
![](https://img.xkw.com/dksih/QBM/2022/3/27/2945516053667840/2946480759914496/STEM/f50978a9-6c53-4c08-8a94-adf17600af25.png?resizew=595)
(1)如图1,若点F恰好落在线段CE上,连接BG.证明:2(GC﹣GB)
AB.
(2)如图2,若点F恰好落在BA延长线上时,作CD⊥BC,DA⊥BA,M是线段BC上一点,4BM=BC,P是平面内一点,满足∠MPC=∠DCE,连接P,已知AC=4,直接写出PF的最小值.
![](https://img.xkw.com/dksih/QBM/2022/3/27/2945516053667840/2946480759914496/STEM/f50978a9-6c53-4c08-8a94-adf17600af25.png?resizew=595)
(1)如图1,若点F恰好落在线段CE上,连接BG.证明:2(GC﹣GB)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ada26e9b7fe22be819d675f72e086ee.png)
(2)如图2,若点F恰好落在BA延长线上时,作CD⊥BC,DA⊥BA,M是线段BC上一点,4BM=BC,P是平面内一点,满足∠MPC=∠DCE,连接P,已知AC=4,直接写出PF的最小值.
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【推荐3】综合与实践
综合与实践课上,老师让同学们以“正方形的折叠”为主题开展数学活动.
(1)㩧作猜想
操作一:对折正方形纸片
、使
与
重合,得到折痕
,把纸片展平;
操作二:继续沿
折叠,使点D落在正方形内部点G处,把纸片展平,连接
、
;
根据以上操作:在图2中写出一个与
相等的角______.
(2)探究证明
①如图3,延长
与边
交于点
,连接
,则
与
的大小关系是______;线段
、
、
之间的数量关系是______;
②判断点
在
上的位置、并说明理由.
(3)拓展延伸
如图4,若正方形的边长为
,直接写出点
到线段
的距离.
综合与实践课上,老师让同学们以“正方形的折叠”为主题开展数学活动.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/10/6/3ab51e22-f6a2-403b-8879-9ba00862b826.png?resizew=387)
(1)㩧作猜想
操作一:对折正方形纸片
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
操作二:继续沿
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
根据以上操作:在图2中写出一个与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c76218f2fea5d94763e21f27285e4e.png)
(2)探究证明
①如图3,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31e55e398e8520d8a36fb5a625a085b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6655e2fa64a32cd12fe0279afd65d73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae55a0c2394db34861f116b0a6d3b0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/527ba12c15182827768fdb327ca29869.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a16f5621716bfef7a056a3f2712feb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
②判断点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)拓展延伸
如图4,若正方形的边长为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
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解答题-证明题
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【推荐1】如图,四边形ABCD是矩形.
![](https://img.xkw.com/dksih/QBM/2022/4/21/2963035028881408/2963851892072448/STEM/f9ed254b-cf02-4183-8e3a-70b1b60568c8.png?resizew=371)
(1)如图1,E、F分别是AD、CD上的点,BF⊥CE,垂足为G,连接AG.
①求证:
.
②若G为CE的中点,∠DAG=∠CBG,求证:sin∠AGB=
;
(2)如图2,将矩形ABCD沿MN折叠,点A落在点R处,点B落在CD边的点S处,连接BS交MN于点P,Q是RS的中点,若AB=2,BC=3,求PS+PQ的最小值.
![](https://img.xkw.com/dksih/QBM/2022/4/21/2963035028881408/2963851892072448/STEM/f9ed254b-cf02-4183-8e3a-70b1b60568c8.png?resizew=371)
(1)如图1,E、F分别是AD、CD上的点,BF⊥CE,垂足为G,连接AG.
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4fb5ff45f8e710a336fed87bcc70f9b.png)
②若G为CE的中点,∠DAG=∠CBG,求证:sin∠AGB=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ea624cb140001a7e9d7567903a29521.png)
(2)如图2,将矩形ABCD沿MN折叠,点A落在点R处,点B落在CD边的点S处,连接BS交MN于点P,Q是RS的中点,若AB=2,BC=3,求PS+PQ的最小值.
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【推荐2】如图1,在矩形ABCD中,P是BC上的点,ΔABP沿AP折叠B点的对应点是M点,延长PM交直线AD于点E.
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968152255193088/2969219297894400/STEM/bbcec96f-ce4f-4a7e-9bed-ea08a05c1107.png?resizew=441)
(1)求证:EA=EP
(2)如图2,Q是AD上的点,QD=BP;ΔCDQ沿CQ折叠D点的对应点是N点,且P、M、N、Q在同一直线上.
①若AB=4,AD=8;求BP的长.
②若M、N互相重合;求
的值;(自己画草图)
(3)如图3,Q是AD上的点,QD=BP;ΔCDQ沿CQ折叠D点的对应点是N点,若AB=4,MN的最小值是1;求AD的长.
![](https://img.xkw.com/dksih/QBM/2022/4/28/2968152255193088/2969219297894400/STEM/bbcec96f-ce4f-4a7e-9bed-ea08a05c1107.png?resizew=441)
(1)求证:EA=EP
(2)如图2,Q是AD上的点,QD=BP;ΔCDQ沿CQ折叠D点的对应点是N点,且P、M、N、Q在同一直线上.
①若AB=4,AD=8;求BP的长.
②若M、N互相重合;求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0636e0c3ae734c1ac05ef4d53b1f2a92.png)
(3)如图3,Q是AD上的点,QD=BP;ΔCDQ沿CQ折叠D点的对应点是N点,若AB=4,MN的最小值是1;求AD的长.
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解题方法
【推荐1】现有与菱形有关的三幅图,如下:
![](https://img.xkw.com/dksih/QBM/2020/10/8/2566480460996608/2566651721777152/STEM/bb63a948-0455-44da-923b-e2f0d0f94b7e.png?resizew=544)
(1)(感知)如图①,
是菱形
的对角线,
分别是边
上的中点,连结
,若
,则
的长为______
(2)(探究)如图②,在菱形
中,
是边
上的点,连结
,作
,边
交边
于点
,连结
.若
,求
的长.
(3)(应用)在菱形
中,
是边
上的点,连结
,作
,边
交边
于点
,连结
.若
,
时,借助图③求
的周长.
![](https://img.xkw.com/dksih/QBM/2020/10/8/2566480460996608/2566651721777152/STEM/bb63a948-0455-44da-923b-e2f0d0f94b7e.png?resizew=544)
(1)(感知)如图①,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb176f57961dd5755bbf0823d97722a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20cb2c77ea29b6eabbc477bc3743859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50eb6d12aa7f0922aabf1a26f8eddbfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac175010746fd4c90a55cb9081a1ffb6.png)
(2)(探究)如图②,在菱形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c46a1e9d91103f6ff6c2bfbfba35024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9eb456c912e01458c19b06e83a5c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a122e25cf4eb9f03ffe5ec823bfc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac175010746fd4c90a55cb9081a1ffb6.png)
(3)(应用)在菱形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c46a1e9d91103f6ff6c2bfbfba35024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a9eb456c912e01458c19b06e83a5c9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5a122e25cf4eb9f03ffe5ec823bfc31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58cc90fee532e50d319081d571410421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f201a40fedca4ad14db193f4db2127e.png)
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解答题-问答题
|
困难
(0.15)
【推荐2】已知:在平面直角坐标系中,直线
:
与x轴,y轴分别交于A、B两点,直线
经过点A,与y轴交于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/37729e9d-52f7-4c0b-8988-70c4b9d20e6f.png?resizew=497)
(1)求直线
的解析式;
(2)如图1,点P为直线
一个动点,是否存在以点P、C、A为顶点的三角形与
相似,若存在请求出点P的坐标及此时
的面积.
(3)如图2,将
沿着x轴平移,平移过程中的
记为
,请问在平面内是否存在点D,使得以
、
、C、D为顶点的四边形是菱形?若存在,直接写出点D的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/501a6d50c937729c8d0f02b2b62a0ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3ea70a2c272af0b233796b6d13e0b2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/37729e9d-52f7-4c0b-8988-70c4b9d20e6f.png?resizew=497)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)如图1,点P为直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
(3)如图2,将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4310db23fc79936c7182361e652bab1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
您最近一年使用:0次
解答题-问答题
|
困难
(0.15)
【推荐1】已知在
中,
,
为
边上一点.
,连接
,若
,
,
,求线段
的长;
(2)如图
,
是
边上的中点,点
、
分别是
、
边上的点,连接
,
,
,若
,
,
,请猜想
与
的数量关系,并证明你的猜想;
(3)如图
,在(2)问的条件下,将线段
绕着点
旋转得到线
,连接
,取
的中点
,点
是
垂直平分线上的点,将点
绕着点
顺时针旋转
得到点
,连接
、
、
,当
最小时,若
,
,请直接写出
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7099026716ee1821dd7d9f157dc055f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5b0ecf99f87c482b90900fcadb8b17b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc75b0de577ae69af3d7bce59339b719.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
(2)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e72b2e1ff83e95df048745322982451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f3956f008cc29ca4bae44a087d5427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d3c9ce32b721995f355eea411340e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9847b9e734dcdbda3f82513e18c6181a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/697f330cacd90cc2f0822864e701db8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d004d2d115b477ade6af7ddb93db0df8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
(3)如图
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da650ee630c36fd5ce9abb4fb826df7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6655cc150ddc9deba2254780984d0024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf80148409afb32ced0b4f59f1ba709.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28b1ba4307cfde9b424d468bfcdf6c5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1afee715f2a04fac1edfaa44e8b58d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174f9ec74bd676b8a3005478cfe27076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4505508b3e36db64a207dcdaf8eb22dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1afee715f2a04fac1edfaa44e8b58d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3505caf94539d51c4edba53a78ad0d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9778e956af121ee80f545631ed612d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910d83ea6a0c642ff58f7f0166df19d0.png)
您最近一年使用:0次
解答题-问答题
|
困难
(0.15)
【推荐2】在平面直角坐标系中,
,直线
交直线
于点C.
![](https://img.xkw.com/dksih/QBM/2022/5/20/2983294109499392/2988493542449152/STEM/91693c7f-2200-49ed-b2b6-fee52a1451fd.png?resizew=631)
(1)如图1,求点C坐标;
(2)如图2,点E在
上,设
的长为m,
的面积为S,求出S与m的函数关系式(不要求写出m的取值范围);
(3)如图3,在(2)问的条件下,点F在x轴正半轴上(A点右侧),连接
,点M在
上,点N在
上,连接
,当
时,求S的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09cba03c18ea87ec4c84e57ad7cbd57d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45cc81cfaccc00aa4b7139de5a35a102.png)
![](https://img.xkw.com/dksih/QBM/2022/5/20/2983294109499392/2988493542449152/STEM/91693c7f-2200-49ed-b2b6-fee52a1451fd.png?resizew=631)
(1)如图1,求点C坐标;
(2)如图2,点E在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e72a855bb6d80737099e412ed52a26b.png)
(3)如图3,在(2)问的条件下,点F在x轴正半轴上(A点右侧),连接
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cae70b8a9d2d2e96dea62c00ced04b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1be97031c1144466ba170abb46b1499.png)
您最近一年使用:0次