1 . 若a,b,c为整数,且
,计算
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7fb6e7b99cbd849e904db748516e857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c8aeb06cefada953a7d97749f572b0f.png)
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2 . 如图,在矩形ABCD中,
,动点M从点A出发,沿边AD向点D匀速运动,动点N从点B出发,沿边BC向点C匀速运动,连接MN.动点M,N同时出发,点M运动的速度为
,点N运动的速度为
,且
.当点N到达点C时,M,N两点同时停止运动.在运动过程中,将四边形MABN沿MN翻折,得到四边形
.若在某一时刻,点B的对应点
恰好与CD的中点重合,则
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec2daeb3938525290d6683f72edd3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f44c235d8b49207ad3f2d77dc5d6cf20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/814f55724f7ee57bd395eb3b95393c68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e860d8d9f1f38d5e290a2b41eb9abc15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e01a2ce173375f3fe39cea14e22c1cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5326817f9af012432a202749d1df59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/721b8f1cfa324a7d07c3544256eb14a3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/5/b9982d1f-5060-412f-a037-4b2cb35856c7.png?resizew=150)
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3 . 定义:一个三角形的一边长是另一边长的2倍,这样的三角形叫做“倍长三角形”若等腰
是“倍长三角形”,底边
的长为3.则腰
的长为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
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4 . 能使
这3个数作为三角形三边长的整数m共有________ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c1738ffbc2a51ca602823cd82010a0.png)
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29a9c1e557f26acc7b8158f6f143e90.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29a9c1e557f26acc7b8158f6f143e90.png)
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6 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f286a405f15fffa0239c1ab68aa43c.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5f286a405f15fffa0239c1ab68aa43c.png)
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名校
7 . 正方形边长等于
,通过它的中心引一条直线,已知正方形的四个顶点到这条直线的距离的平方之和恒为定值,则这个定值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
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8 . 如图,在平面直角坐标系中,已知
、
现将
折叠,使点
落在
边的中点
处,折痕为
,其中点
在
轴上,点
在
边上,则点
的坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9794b90c7775769f5ecfe86d1b4d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1dae05f42110fde12a61fca98bc408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c314398e26ffc7164b82946eeb4273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/83011eb9-f212-4683-85cf-0fefac29fa6a.png?resizew=156)
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9 . 关于双曲线
(
)与反比例函数
,以下说法正确的是__________ (请把所有正确说法的番号填在对应的答题卡上,少填或各填均不得分).
①任意反比例函数的图象都是双曲线;
②所有双曲线绕原点旋转都能转化为反比例函数的图象;
③若
是反比例函数
图象上任意一点,则
到点
的距离与到直线
的距离之比为定值;
④过双曲线
(
)中心的动直线与双曲线
交于
、
两点,
为双曲线
上与
、
不同的任意一点,若直线
、
均有斜率,则它们的斜率之积为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d49d34012ddf68fb981eb4975ac99b9.png)
①任意反比例函数的图象都是双曲线;
②所有双曲线绕原点旋转都能转化为反比例函数的图象;
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b0b612460326448de36e160c8d29af9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48aace55de3fdcd6f903762c027b7af2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9359d287ae717a2b3e0cd4d28e29f5fd.png)
④过双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dca049735b45fb9b2533c68605eddc.png)
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10 . 某地有居民5000户,其中普通家庭3500户,高收入家庭500户,低收入家庭1000户.现用分层抽样的方法随机抽取居民调查家庭用电情况,若从普通家庭中抽取到70户,则从低收入家庭中抽取到__________ 户.
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