1 . 我国古代数学家赵爽(公元3世纪)在其所著的《勾股圆方图注》中记载过一元二次方程(正根)的几何解法.以方程
即
为例说明,记载的方法是:构造如图,大正方形的面积是
.同时它又等于四个矩形的面积加上中间小正方形的面积,即
,因此
.则在下面四个构图中,能正确说明方程
解法的构图是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/a40be32b-c5c7-4ff3-af6a-9a1ba9229f1e.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7551f6aaab9115d6928c1a89ec555d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea23a4f29e6f851e18b4c9c1074dcfbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6866edc34fb769938720dade77900f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57cf97bdd2494186f22b3e40cccf19e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da322ac8867e8a47c6588601078abf18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bfcffd48bd96e513072d998b69b6629.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/31/a40be32b-c5c7-4ff3-af6a-9a1ba9229f1e.png?resizew=162)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
2 . 下列说法正确的是( )
①已知
,
,则
;②若
,则化简![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65923a850e734a14c505e33c435cb3df.png)
③如果定义
,当
,
.
时,则
的值为
;
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b74110bc818c2f5a53d63451c5251eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fce938a14d17468e5a07cec3983bf09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/416cbd221a33609b84ce2b61db8e5b77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b91d78012a5ed0d486bbd2350853a3ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65923a850e734a14c505e33c435cb3df.png)
③如果定义
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e6dd580ef6c9648ec74b7fd433161c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fb1b48a799c65736f95852556876751.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad90f72d8bf5819cc56298a2a733607c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f25c74aac134445388016421cd919bbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8bc0c74b30e920c0d1540839f35c02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96187825b08503f8e22b1bf92309d422.png)
A.①② | B.①③ | C.②③ | D.①②③ |
您最近一年使用:0次
3 . 如图,点A、B的坐标分别为
,点P为x轴上的动点,若点B关于直线
的对称点
恰好落在x轴上,则点P的坐标是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/a4ffefa9-cea6-4ba3-a6fc-f4cf48850d01.png?resizew=151)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a7986d32696c9267450efde13feefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3953cec61ac602ce5eb59b7912352179.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/2/a4ffefa9-cea6-4ba3-a6fc-f4cf48850d01.png?resizew=151)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
4 . 如图,已知一个矩形纸片
,将该纸片放置在平面直角坐标系中,点
,点
,点P为
边上的动点,将
沿
折叠得到
,连接
.则下列结中:①当
时,四边形
为正方形;②当
时,
的面积为15;③当P在运动过程中,
的最小值为
;④当
时,
.其中结论正确的有( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/29/1bc1dbf4-b224-44c5-bdd5-822aec133e3e.png?resizew=179)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ea16ceca816f7d3d50650af141baf42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7634259baae370a02d51eb2449f09cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23b9fc6ffcd8047efb5e7748fb7e4ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c8561afa0f1454ea382a625d000a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f798e4487f5b752ea1caa829f68dac90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39fdc2492e48a8cd83390da3546ce929.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/858c7efe1e8b3eeb61f5905f9791a312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8b1c87a0e4a06ed10c7b63feb806f5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48343d26700aca597c2d09a228ced20a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7bd8bfbd43d0cf1604b8d7e0023f57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42f79389728422c3869a516bf2c14135.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1d9d896242b3a06489bc4c35a89e6f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a0367c3fe3c5c5dfefec87f641bbde.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/29/1bc1dbf4-b224-44c5-bdd5-822aec133e3e.png?resizew=179)
A.1个 | B.2个 | C.3个 | D.4个 |
您最近一年使用:0次
5 . 已知一次函数
中
取不同值时,
对应的值列表如下:
则不等式
(其中
,
,
,
为常数)的解为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![]() | … | ![]() | 1 | 2 | … |
![]() | … | -2 | 0 | ![]() | … |
则不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed512a9453132a67d052436dcf510f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.![]() | B.![]() | C.![]() | D.无法确定 |
您最近一年使用:0次
6 . 如图,在
中,
.边
在
轴上,顶点
的坐标分别为
和
.将正方形
沿
轴向右平移当点
落在
边上时,点
的坐标为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/7ec06a16-fa77-4e65-bbd5-6b202ae47401.png?resizew=201)
![](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/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd6b7c614860e815146b93f45266416.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea1605bbe50887258ac6cd48ce9bcf88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f87d89b3eb0c40885f5a6f011d9171b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/23/7ec06a16-fa77-4e65-bbd5-6b202ae47401.png?resizew=201)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
7 . 如图,在平行四边形
中,
为垂足,
为
的中点,若
,则
( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/30/de8f107f-ad69-4e55-a5ee-440cbb496420.png?resizew=140)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa43e829f9fb8691c5abbbf027025825.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/057c80b13976fb14e7fd9acabecb9ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afde09d82ae96f00c135732baee64776.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/8/30/de8f107f-ad69-4e55-a5ee-440cbb496420.png?resizew=140)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 桌子上有6只杯口朝上的茶杯,每次翻转其中的4只,经过
次翻转可使这6只杯子的杯口全部朝下,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
A.2 | B.3 | C.4 | D.5 |
您最近一年使用:0次
2022-09-10更新
|
194次组卷
|
2卷引用:湖北省武汉市华中师范大学第一附属中学2022-2023学年高一上学期新生入学测试数学试题
名校
9 . 100人共有2000元人民币,其中任意10人的钱数的和不超过380元.那么一个人最多有( )元.
A.216 | B.218 | C.238 | D.236 |
您最近一年使用:0次
名校
10 . 如果一个正整数可以表示为两个连续奇数的立方差,则称这个正整数为“和谐数”.如:
.2和26均为“和谐数”.那么、不超过2016的正整数中,所有们“和谐数”之和为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c40bc4f5508e67034b3dc3508b3de60.png)
A.6858 | B.6860 | C.9260 | D.9262 |
您最近一年使用:0次