现有一块长为
、宽为
的木板,能否采用如图的方式,在这块木板上截出两个面积分别是
和
的正方形木板?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a61538e5beec640bb9c969db13d5dad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0530dbcf60b82add6155095b4860db4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f0992327528165a6747728712ebbb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/943bbbc757a39dd74d011c75e66e2725.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/0475ae52-c3a1-4fa1-ad04-944cfccf4c25.png?resizew=173)
更新时间:2023-04-30 07:48:36
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相似题推荐
解答题-问答题
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适中
(0.65)
【推荐2】阅读下面的文字,解答问题:大家知道
是无理数,而无理数是无限不循环小数,因此
的小数部分我们不可能全部地写出来,但通过估算可以得出
的整数部分是1,将这个数减去其整数部分,差就是小数部分,也就是用
来表示
的小数部分,又例如:
,即
,
的整数部分为2,小数部分为
.
(1)
的整数部分是________,小数部分是________;
(2)应用:若
的小数部分为a,
的整数部分为b,请仿照上述推理过程求
的值;
(3)拓展:若
的整数部分为x,小数部分为y,则
的相反数是________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34e01955f8c8fe2f0041b35d8d602a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da2a502dd962b8718fbc2b48c3cd5cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adc5f877ca72fc5b9190a753f810ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad7a34e6c7ee7e85283ec784ac23429a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfeed2b27abcb4057ca4c731a99a2590.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68c1d20a422a363e356a160f096503c.png)
(2)应用:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20838e72faf737614d76fcee82ab6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22a9d309d2dc8b48602a71701116e7b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9217b39fc9eebdcaca618685983edff.png)
(3)拓展:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9317a6b2be7cdf9b7979f008750678e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
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(0.65)
【推荐1】如图,在
中,
,
,
.动点
从点
出发以每秒1个单位的速度沿
匀速向终点
运动,同时点
从点
出发以每秒2个单位的速度沿
匀速向终点
运动,以
、
为邻边构造平行四边形
,当点
到达点
时,点
也随之停止运动.设点
的运动时间为
秒.
![](https://img.xkw.com/dksih/QBM/2022/9/15/3066808209620992/3083142697779200/STEM/4c3d1ddbe14b468e9cfdc0fe2f13d69e.png?resizew=139)
(1)求线段
的长;
(2)当
与
的边平行或垂直时,求
的值;
(3)设平行四边形
与
重叠部分图形的面积为
,求S(用含
的式子表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8f88798ec42a58dccd212586382b23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e3262fc038bbec5e7c8cc47df08bef7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb01d2b57580731c8b807ac8cffc8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc4b9bf2cdbf3f9d9b7e25d54983f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://img.xkw.com/dksih/QBM/2022/9/15/3066808209620992/3083142697779200/STEM/4c3d1ddbe14b468e9cfdc0fe2f13d69e.png?resizew=139)
(1)求线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)设平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc4b9bf2cdbf3f9d9b7e25d54983f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解答题-计算题
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【推荐2】阅读理解下面内容,并解决问题:
善于思考的小明在学习《实数》一章后,自己探究出了下面的两个结论:
①
,
,
和
都是9×4的算术平方根,
而9×4的算术平方根只有一个,所以
=
.
②
,
,
和
都是9×16的算术平方根,
而9×16的算术平方根只有一个,所以 .
请解决以下问题:
(1)请仿照①帮助小明完成②的填空,并猜想:一般地,当a≥0,b≥0时,
与
、
之间的大小关系是怎样的?
(2)再举一个例子,检验你猜想的结果是否正确.
(3)运用以上结论,计算:
的值.
善于思考的小明在学习《实数》一章后,自己探究出了下面的两个结论:
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/474330ff08bfee83d793c042cf58e175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16c58e8ca478e53cd2c1f76223a43f9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb5233399e1b6edc7f94b7c66feac69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1ff4d599bf9f32da9cac3cc70e488a.png)
而9×4的算术平方根只有一个,所以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb5233399e1b6edc7f94b7c66feac69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af1ff4d599bf9f32da9cac3cc70e488a.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46e8ac9bf6c0c0f6508340dd8954ae3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aceb75f761c1cae458515f43981583db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440ef1a39e3f1d9016298f3743574597.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ad05fb6211810affe9fdc480de1b635.png)
而9×16的算术平方根只有一个,所以 .
请解决以下问题:
(1)请仿照①帮助小明完成②的填空,并猜想:一般地,当a≥0,b≥0时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d7009d4cbe7157d63ce50444443716.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d012d124f04963fb72a68af40d5f8f42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c462d08d75fcc7ccf9c3ecea1972e26.png)
(2)再举一个例子,检验你猜想的结果是否正确.
(3)运用以上结论,计算:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0266dee0113c9dc0942a8e1a5d51cc2.png)
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