如图,将两张边长分别为
和
的正方形纸片按图1,图2两种方式放置长方形内(图1,图2中两张正方形纸片均有部分重叠),未被这两张正方形纸片覆盖的部分用阴影表示,若长方形中边
、
的长度分别为m、n.设图1中阴影部分面积为
,图2中阴影部分面积为
.当
时,
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc1ee7f9f3c497125ee3f9e44db9688.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b79dd200766db27fb90d6bd1992cf658.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88929f4ba0851730d5f941d426b87548.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4d2c67b2f30bfc30f4c9f0b71c16f82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38c43d922840f5f7693007beeb62b34.png)
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22-23七年级上·福建泉州·阶段练习 查看更多[3]
福建省泉州市第六中学2022-2023学年七年级上学期数学第二次月考试题(已下线)第3章 整式的乘除 章末重难点检测卷-【帮课堂】2022-2023学年七年级数学下册同步精品讲义(浙教版)湖南省永州市新田县2023-2024学年七年级下学期期中数学试题
更新时间:2023-02-13 14:14:43
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【推荐1】某网店实行优惠购物,优惠规定如下:
如果一次性购物在
元以内,按标价给予九折优惠;
如果一次性购物超过
元的,可以先享受“天猫”每满
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元,若第一次购物商品标价为
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba602bfa3a3ffb4fb43dc0f704a7f7d.png)
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【推荐2】将图①中周长为36的长方形纸片剪成1号,2号,3号,4号正方形和5号长方形,并将它们按图②的方式放入周长为53的长方形中,则没有覆盖的阴影部分的周长为 ( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/678501f2-05fd-4dc5-89e5-efbd9ee850ed.png?resizew=292)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/1/678501f2-05fd-4dc5-89e5-efbd9ee850ed.png?resizew=292)
A.44 | B.53 | C.46 | D.55 |
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【推荐1】已知代数式
,
,
,下列结论:
①若
,则
;
②若
,且z为方程
的一个实根,则
;
③若x,y,z为正整数,且
,则
;
④若
,则
;
其中正确的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/883be1046dd3ddf42cc99e4c11236bb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/440694fd0af9579120294ffb24411eb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b0a141b11c5925e67dbda3ca5a905a.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f106abfef9c23b318909a4bcae031e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a8cc923d8dc49ac00307d903bab35de.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f24efa543736b9064b2abe9d35a46308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6afc9e6d04812045a6bce75df38dd361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94c122b419dcb1213dd92edd20066d71.png)
③若x,y,z为正整数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1afddac11c3055bdef861f32a44da384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c1f322806f62922efbc8127b74cbbf0.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65a228435e01f8045dddbcdd8ee6780d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d544f0fe33c7371fda2f5f3bc14a616.png)
其中正确的个数是( )
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【推荐2】对于多项式
记为
,即
;若令
,
,即
;下面几个结论正确的个数有( )个.
(1)存在实数x使
成立,则k的取值范围是
;
(2)若
,则
;
(3)若
,则
或
;
(4)存在整数
,使
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292f54cdb7f0f6742bd6570de1d32f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f72df651e67c045ea5d886abef4c2165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7daafbc305f86b6eefc45303c67bd673.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107babba45f110012183dc4dc54490f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22ab8333be773a244916727829366b33.png)
(1)存在实数x使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34c4a2e79be0895301c94b21acd69456.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c0d1cf8b61b1fcf4ab15d4aa1c9e640.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19417f09e84b7a03145b3ad7755f473b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54889bd61cefd26b735607fd0657697a.png)
(3)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42b1011ae68626c689c6b681920b8e18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
(4)存在整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e647c14561826ba9e396acc5a3792c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22cedd5554fe54fbd284379df6a7e537.png)
A.1 | B.2 | C.3 | D.4 |
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【推荐1】如图,长为
,宽为
的大长方形被分割为7小块,除阴影A,B外其余5块是形状、大小完全相同的小长方形,其较短的边长为
,下列说法中正确的有( )
;
②阴影A的一条较短边和阴影B的一条较短边之和为
;
③若x为定值,则阴影A和阴影B的周长和为定值;
④当
时,阴影A和阴影B的面积和为定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ad73886b6605ffbf22befa21896deba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be6e964c405a9cdf6623f9219898fd3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/095ab4a92bf822e175d370e6d0c8a730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35ca7c3c9714810ac498393af9019271.png)
②阴影A的一条较短边和阴影B的一条较短边之和为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6022b615a481aeb1766344c8aa135b4.png)
③若x为定值,则阴影A和阴影B的周长和为定值;
④当
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A.4个 | B.3个 | C.2个 | D.1个 |
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【推荐2】长方形
内,未被小长方形覆盖的部分用阴影表示,设左上角与右下角的阴影部分的面积的差为S,当
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