如图,在边长为
的正方形各边上取点E,F,G,H(不与A,B,C,D重合),使得
四边形为正方形.设
为
,正方形
的面积为
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/92d8dfc4-193a-4721-8245-ab38f8a033e0.png?resizew=142)
(1)y关于x的函数表达式是______,自变量x的取值范围是______;
(2)在下面的平面直角坐标系
中,画出(1)中函数的图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/93370c2b-1863-4096-8f55-681180e756bc.png?resizew=196)
(3)当
______
时,正方形
面积有最小值______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee3160fce05b551569b8c7b5de6dd8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d740004cfdade4c185f722dadc27e15.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/92d8dfc4-193a-4721-8245-ab38f8a033e0.png?resizew=142)
(1)y关于x的函数表达式是______,自变量x的取值范围是______;
(2)在下面的平面直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/4/3/93370c2b-1863-4096-8f55-681180e756bc.png?resizew=196)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec0618ae3a4fde6d6220010af229b9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/611f100dcfa7803db6eb233e2e7f2dab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88ce13774b09ff2edddaf21a072cf60a.png)
更新时间:2024-04-03 23:02:35
|
相似题推荐
解答题-作图题
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【推荐1】已知二次函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/16ff94a6-3fd1-4653-bc12-596153c8f0a7.png?resizew=238)
(1)用配方法将此二次函数化为顶点式;
(2)写出它的顶点坐标和对称轴;
(3)求出二次函数的图像与
轴的交点坐标;
(4)在所给的坐标系上,用描点法画出这个二次函数的图像;(描出关键点)
(5)观察图像填空,使
的
的取值范围是___________
(6)观察图像填空,使
随
的增大而减小的
的取值范围是___________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3236d825b994ee9c28e5d5479a57b8ed.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/16ff94a6-3fd1-4653-bc12-596153c8f0a7.png?resizew=238)
(1)用配方法将此二次函数化为顶点式;
(2)写出它的顶点坐标和对称轴;
(3)求出二次函数的图像与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(4)在所给的坐标系上,用描点法画出这个二次函数的图像;(描出关键点)
(5)观察图像填空,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(6)观察图像填空,使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
【推荐2】在研究反比例函数
的图象与性质时,我们对函数解析式进行了深入分析.
首先,确定自变量
的取值范围是全体非零实数,因此函数图象会被
轴分成两部分;其次,分析解析式,得到
随
的变化趋势:当
时,随着
值的增大,
的值减小,且逐渐接近于零,随着
值的减小,
的值会越来越大…,由此,可以大致画出
在
时的部分图象,如图所示:
![](https://img.xkw.com/dksih/QBM/2020/3/17/2421339434786816/2422208698122240/STEM/44230473cfda488cbcbb76e13ea78aa6.png?resizew=181)
利用同样的方法,我们可以研究函数
的图象与性质.通过分析解析式画出部分函数图象如图所示.
![](https://img.xkw.com/dksih/QBM/2020/3/17/2421339434786816/2422208698122240/STEM/0a7f00a848ba45e7b7cc558cddebcc0d.png?resizew=221)
(1)请沿此思路在图中完善函数图象的草图并标出此函数图象上横坐标为0的点
;(画出网格区域内的部分即可)
(2)观察图象,写出该函数的一条性质:__________;
(3)若关于
的方程
有两个不相等的实数根,结合图象,直接写出实数
的取值范围: __________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
首先,确定自变量
![](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/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf35027e76f8ea593f82023973d4aba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://img.xkw.com/dksih/QBM/2020/3/17/2421339434786816/2422208698122240/STEM/44230473cfda488cbcbb76e13ea78aa6.png?resizew=181)
利用同样的方法,我们可以研究函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e476415d9f9eb9070fbc7763212e82.png)
![](https://img.xkw.com/dksih/QBM/2020/3/17/2421339434786816/2422208698122240/STEM/0a7f00a848ba45e7b7cc558cddebcc0d.png?resizew=221)
(1)请沿此思路在图中完善函数图象的草图并标出此函数图象上横坐标为0的点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)观察图象,写出该函数的一条性质:__________;
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7baa8da6c52113e8050a5e672bbcc37f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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【推荐3】某公园在人工湖里建造一道喷泉拱门,工人在垂直于湖面的立柱上安装喷头,从喷头喷出的水柱的形状可以看作是抛物线的一部分,安装后,通过测量获得如下数据,喷头高出湖而3米,在距立柱水平距离为d米的地点,水柱距离湖面高度为h米.
请解决以下问题:
(1)在下面网格中建立适当的平面直角坐标系,根据已知数据描点,并用平滑的曲线连接:
(3)公园希望游船能从喷泉拱门下穿过,已知游船的宽度约为1.5米,游船的平顶棚到湖面的高度约为1米,从安全的角度考虑,要求游船到立柱的水平距离不小于1米,顶棚到水柱的竖直距离也不小于1米.工人想只通过调整喷头距离湖面的高度(不考虑其他因素)就能满足上述要求,其他条件不变,结合函数图象,估计出水口至少需要 (填“升高”或“降低”) 米(结果保留小数点后一位).
d(米) | 0.50 | 1.00 | 1.50 | 2.00 | 2.50 | 3.00 |
h(米) | 3.75 | 4.00 | 3.75 | 3.00 | 1.75 | 0 |
(1)在下面网格中建立适当的平面直角坐标系,根据已知数据描点,并用平滑的曲线连接:
(3)公园希望游船能从喷泉拱门下穿过,已知游船的宽度约为1.5米,游船的平顶棚到湖面的高度约为1米,从安全的角度考虑,要求游船到立柱的水平距离不小于1米,顶棚到水柱的竖直距离也不小于1米.工人想只通过调整喷头距离湖面的高度(不考虑其他因素)就能满足上述要求,其他条件不变,结合函数图象,估计出水口至少需要 (填“升高”或“降低”) 米(结果保留小数点后一位).
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【推荐1】已知如图,抛物线
经过点
、
.
求
、
的值;
如图,点
与点
关于点
对称,过点
的直线交
轴于点
,交抛物线于另一点
.若
,求
的值;
如图,在
的条件下,点
是
轴上一点,连
、
分别交抛物线于点
、
,探究
与
的位置关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cab717b95ec0d1626af9bf91650f19f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f95e8632b61f9a1597954b6847b63c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69d412905fcdbc0be8d62fbaed8c3ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4141b26d2c32655003494a91ad6331b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2f2a67554696d0a75c73a96a76576a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfe9c87d0e70200b3da069626186c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4bb89a362c1faf4d0c306eabbb59710.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65863c1abad833b79c303bfca24f535c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d9792485ccd1ba479ceba6397c15ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30513ea48bc1ef3ae78adac83d894f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0215e13a9fb5574d5194aeb9507a98aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99c4909b2a6be11adc93158fb2230e2.png)
![](https://img.xkw.com/dksih/QBM/2018/11/4/2068374433161216/2069925929353216/STEM/091fc640add045ab9ebf7d1265b0605d.png?resizew=324)
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解答题-问答题
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【推荐2】有长为30米的篱笆,一面利用墙(墙的最大可用长度为12米),围成中间隔有一道篱笆(平行于
)的矩形花圃,设花圃的一边
为
米,面积为
平方米.
![](https://img.xkw.com/dksih/QBM/2022/11/25/3117243021082624/3117971243458560/STEM/2a7de44ed5ec4055becdf9d367fa6b6a.png?resizew=305)
(1)用含
的代数式表示
,并求出
的取值范围;
(2)如果要围成面积为63平方米的花圃,
的长是多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://img.xkw.com/dksih/QBM/2022/11/25/3117243021082624/3117971243458560/STEM/2a7de44ed5ec4055becdf9d367fa6b6a.png?resizew=305)
(1)用含
![](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/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)如果要围成面积为63平方米的花圃,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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解答题-证明题
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【推荐1】已知:如图,AB=AC,∠DAC=∠EAB,AD=AE.求证:BD=CE.
![](https://img.xkw.com/dksih/QBM/2020/10/19/2574334561894400/2576739750436864/STEM/59cb75b820ff49a5907b38788218b603.png?resizew=114)
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解答题-证明题
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【推荐2】如图,在平行四边形ABCD中,
,
.垂足分别为E、F,且
.
![](https://img.xkw.com/dksih/QBM/2022/4/1/2953685683003392/2962134259679232/STEM/abd63f6f-eb80-4d87-99c5-0d5632662d4e.png?resizew=188)
(1)求证:平行四边形ABCD是菱形;
(2)若
,
,求平行四边形ABCD的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f5dc11efe60b4fd9a13b1d6b83842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbee06d305abf6692125513dc3757f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92034dd2bb9480b18709d01153467f8f.png)
![](https://img.xkw.com/dksih/QBM/2022/4/1/2953685683003392/2962134259679232/STEM/abd63f6f-eb80-4d87-99c5-0d5632662d4e.png?resizew=188)
(1)求证:平行四边形ABCD是菱形;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc34db5860990e51ba31edc8cdd077c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13171ee1bcd5648ed7c5ad56dd63942.png)
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【推荐3】我们在第十二章《全等三角形》中学习了全等三角形的性质和判定,在一些探究题中经常用以上知识转化角和边,进而解决问题.例如:我们在解决:“如图1,在
中,
,
,线段
经过点C,且
于点D,
于点E.求证:
,
”这个问题时,只要证明
,即可得到解决,
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/057ca3be-618b-476a-bef9-53df05a1888f.png?resizew=251)
积累经验:
(1)请写出证明过程;
类比应用:
(2)如图2,在平面直角坐标系中,
中,
,
,点A的坐标为
,点C的坐标为
,求点B与x轴的距离.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f6c6161b-d16e-4b6a-a3f6-e46b2ed3be5f.png?resizew=251)
拓展提升:
(3)如图3,
在平面直角坐标系中,
,
,点A的坐标为
,点C的坐标为
,求点B的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c1c122603b60b6f1a1334ddb56c3fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c182a9d9fd0a7023b710cd671d9468e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42218a68301d770accaaefb96b19f8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a26b33f5b71039c35ac5e93795e254f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e57c76abca2467af86f45da0fec08cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/057ca3be-618b-476a-bef9-53df05a1888f.png?resizew=251)
积累经验:
(1)请写出证明过程;
类比应用:
(2)如图2,在平面直角坐标系中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/f6c6161b-d16e-4b6a-a3f6-e46b2ed3be5f.png?resizew=251)
拓展提升:
(3)如图3,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed10df4140819d5451773a45de66201b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b10134e7a46e6f6f7cb9d5e2371727d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fad20e2bc6576fc461419f8f138d26e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/081cd41dab0f2a8f84b0e9f1df4843fb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/26/67b369da-80bb-4112-8701-d377acb806ba.png?resizew=234)
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解答题-证明题
|
适中
(0.65)
【推荐1】如图,若四边形ABCD、四边形GFED都是正方形,显然图中有AG=CE,AG⊥CE.
![](https://img.xkw.com/dksih/QBM/2016/11/26/1574255708798976/1574255714787328/STEM/c9dc627a55e948169a1bd5cf4b086b49.png)
(1)当正方形GFED绕D旋转到如图2的位置时,AG=CE是否成立?若成立,请给出证明,若不成立,说明理由.
(2)若正方形GFED绕D旋转到如图3的位置(F在线段AD上)时,延长CE交AG于H,交AD于M,
①求证:AG⊥CH;
②当AD=4,DG=
时,求CH的长.
(3)在(2)的条件下,在如图所示的平面上,是否存在以A、G、D、N为顶点的四边形为平行四边形的点N?如果存在,请在图中画出满足条件的所有点N的位置,并直接写出此时CN的长度;若不存在,请说明理由.
![](https://img.xkw.com/dksih/QBM/2016/11/26/1574255708798976/1574255714787328/STEM/c9dc627a55e948169a1bd5cf4b086b49.png)
(1)当正方形GFED绕D旋转到如图2的位置时,AG=CE是否成立?若成立,请给出证明,若不成立,说明理由.
(2)若正方形GFED绕D旋转到如图3的位置(F在线段AD上)时,延长CE交AG于H,交AD于M,
①求证:AG⊥CH;
②当AD=4,DG=
![](https://img.xkw.com/dksih/QBM/2016/11/26/1574255708798976/1574255714787328/STEM/4c2045856b4a4519a2d8e7ed9f529bb3.png)
(3)在(2)的条件下,在如图所示的平面上,是否存在以A、G、D、N为顶点的四边形为平行四边形的点N?如果存在,请在图中画出满足条件的所有点N的位置,并直接写出此时CN的长度;若不存在,请说明理由.
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
【推荐2】某数学小组在一次数学探究活动过程中,经历了如下过程:
中,
,
为对角线
上的一个动点,以
为直角顶点,向右作等腰直角
.
(1)操作发现:
的最小值为_______,最大值为_______;
(2)数学思考:求证:点
在射线
上;
(3)拓展应用:当
时,求
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54275b7e571660d0a9e0370fbfe5050b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e333f7c4ea11dbf97788a2e222fbea59.png)
(1)操作发现:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a424b50eaeafa6f302ffd95476cb86.png)
(2)数学思考:求证:点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
(3)拓展应用:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1be8a36a1fe083209cb7bb7d7e2e0691.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
您最近一年使用:0次