小华同学学习了课本
节“问题6”后,在已知条件不变的情况下,又对该例题进行了拓展探究,请你和他一起解决以下几个问题:
问题6如图,在矩形
中,
,
,点P从点A出发沿
以
的速度向点B移动,同时,点Q从点B出发沿
以
的速度向点C移动.
(1)几秒钟后点P、Q的距离为
?请说明理由;
(2)几秒钟后
为直角?请说明理由;
(3)当
时,
内有一个动点M,连接![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
、
.若
,线段
的最小值为______.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4d3ac67dac7a4c48fbfb053a735b88.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/8/be98d3ae-5e6d-48b9-b60b-fc38abbdb2a4.png?resizew=120)
问题6如图,在矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/212063c7e452cd2bd0378d67929e3f6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/182c408c62077540e26e779adf272444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ddd25759f63f954bb1e0e6b94fda1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f600a77e7b9c0ad939102d2ec0de3961.png)
(1)几秒钟后点P、Q的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e2031d209711b058f3d278ede3c1d33.png)
(2)几秒钟后
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cb40ae5c5bfc24f9dd07f94ae92454e.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0028d73e6f8a861ea5f97ef287367aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff63318f077dd296b78a7bf6daf14c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f59351bf2f52691c427ba00b5ec7b3c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69d2b798744645af88a4fa411344a83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f66512989e13808aff87147f0f5c168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892909e49156f7dcc0650fcd65243877.png)
22-23九年级上·江苏连云港·期中 查看更多[11]
江苏省连云港市新海实验中学2022-2023学年九年级上学期期中数学试题江苏省连云港市东海西、海州区、连云区、灌南县2022-2023学年九年级上学期期中数学试题江苏省连云港市灌云县2022-2023学年九年级上学期期中数学试题江苏省连云港市2022-2023学年九年级上学期期中数学试题江苏省连云港市灌南县2022-2023学年九年级上学期期中数学试题(已下线)专题2.43 几何模型专题(隐形圆解决最值问题)-2023-2024学年九年级数学上册基础知识专项突破讲与练(苏科版)(已下线)专题22.10 一元二次方程章末八大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(华东师大版)(已下线)专题2.10 一元二次方程章末八大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(北师大版)(已下线)专题1.10 一元二次方程章末八大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(苏科版)(已下线)专题21.10 一元二次方程章末八大题型总结(拔尖篇)-2023-2024学年九年级数学上册举一反三系列(人教版)(已下线)专题24.49 几何模型专题(隐形圆解决最值问题)-2023-2024学年九年级数学上册基础知识专项突破讲与练(人教版)
更新时间:2023-07-27 11:12:56
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【推荐1】解下列方程:
(1)2(x-5)=3x(x-5);
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名校
【推荐2】如图,约定:上方相邻两数之和等于这两数上方箭头共同指向的数.
示例:
即
.
(1)用含x的式子表示
_______,
________;
(2)当
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示例:
![](https://img.xkw.com/dksih/QBM/2021/2/18/2660557570523136/2681384963112960/STEM/7e44009e-9045-4a78-9914-e16cdc3bbec9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7c76d8e885cf2ff34ce42aa9a06f6b.png)
(1)用含x的式子表示
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://img.xkw.com/dksih/QBM/2021/2/18/2660557570523136/2681384963112960/STEM/c81cea03-4072-40a5-8997-a79abd8f94be.png)
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(0.65)
【推荐1】如图,在边长为12cm等边三角形
中,点P从点A开始沿
边向点B以每秒钟1cm的速度移动,点Q从点B开始沿
边向点C以每秒钟2cm的速度移动,若P、Q分别从A、B同时出发,其中任意一点到达目的地后,两点同时停止运动,求:
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/114e2494-42ca-43fa-967f-8da29cdbfcc5.png?resizew=228)
(1)经过6秒后,
____,
.
(2)经过几秒
的面积等于
?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/23/114e2494-42ca-43fa-967f-8da29cdbfcc5.png?resizew=228)
(1)经过6秒后,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9985eaef9e31b243d5aaf89b71f66075.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf757b473eb160e42173982184ac5b9.png)
(2)经过几秒
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8dcc9f79fe5f07f25447aa442ee14ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e4123975f257306440158659634c4a.png)
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解答题-计算题
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【推荐2】如图,在矩形中,
,
,点
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以
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从点
出发沿
以
的速度向点
移动,当其中一点到达终点运动即停止.设运动时间为
秒.
(1)在运动过程中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2607fdb20da69d708818e5e2d30a96aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)在运动过程中,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a138fefcb02cc063b48967c0fc9d28f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9202af84bc055b58bd51fae5e3272283.png)
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(3)取
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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【推荐1】小明和爸爸妈妈一起去露营.如图是他们搭建帐篷的部分支架示意图.在
中,两根支架
与
从帐篷顶点
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上,一根支架
于点
.经测量,
,
,
,
.按照要求,当帐篷支架
与
的夹角
为直角时,帐篷符合要求.请通过计算说明他们搭建的帐篷是否符合要求.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】已知菱形
的四个顶点分别为
,
,
,
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,对角线交点为E.
(2)已知
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与x轴交于点F,当
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5dd2c7c5c431d8776ba4fb7acc78c7f.png)
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(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554ee33555fb75d381e5f252294602f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b46c607b3deac746c0ef3389ad8f65c.png)
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真题
【推荐1】(11·台州)丁丁想在一个矩形材料中剪出如图阴影所示的梯形,作为要制作的风筝的一个翅膀.请你根据图中的数据帮丁丁计算出BE、CD的长度(精确到个位,
≈1.7).
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【推荐2】完成下列各题.
(1)课本中有一道练习题:如图1,一块材料的形状是锐角三角形(
),边
,高
.把它加工成正方形零件,使正方形的一边在
上,其余两个顶点分别在
上,则这个正方形零件的边长是______ mm.
拓展应用
(2)若原题中要加工的零件是一个矩形,且此矩形两条边
,如图2所示,求此时EF的长.
(1)课本中有一道练习题:如图1,一块材料的形状是锐角三角形(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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拓展应用
(2)若原题中要加工的零件是一个矩形,且此矩形两条边
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