1 . 在平面直角坐标系
中,我们称横从坐标都是整数的点为整点,若坐标系内两个整点
、
满足关于
的多项式
能够因式分解为
,则称点
是
的分解点.例如
、
满足
,所以
是
的分解点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/d56a6936-b6bc-4402-92ac-caf32b2b0b84.png?resizew=607)
(1)在点
、
、
中,请找出不存在分解点的点__________;
(2)点
、
在纵轴上(
在
的上方),点
在横轴上,且点
、
、
都存在分解点,若
面积为
,请直接写出满足条件的
的个数及每个三角形的顶点坐标;
(3)已知点
在第一象限内,
是
的分解点,请探究
是否可能是等腰三角形?若可能请求出所有满足条件的点
的坐标;若不可能,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690f909c735031cb2ef82b845f73edd1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e9b5ee7caf49d2a02b52dacb78d51e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3c114f3cc1fd54e5fa3e32fc8a15389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77683a3043e8da4c5e53ea6b8abc7718.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/643b31966f52a03f001f2e613cd701dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/266504a4bd910b292c74765dc9772f62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fe84f8c9667d04d9ce4877a2fa41c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/27/d56a6936-b6bc-4402-92ac-caf32b2b0b84.png?resizew=607)
(1)在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8f0711cb9435f4c250674c4fe017e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a8fb54d753ec8758925e5605b307867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4f7517a7716dee9534c93f77431ce87.png)
(2)点
![](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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.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/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c28abb154f41e1ca9816c9c9c2433ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c28abb154f41e1ca9816c9c9c2433ca.png)
(3)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4807ca16360c0cca436e59d4be98f626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2021-08-10更新
|
183次组卷
|
2卷引用:新疆疏附县第二中学2021-2022学年高一上学期开学考试数学试题
名校
2 . 如图,正方形
中,
,点
在边
上,且
.将
沿
对折至
延长
交边
于点
,连结
下列结论:(1)
;(2)
;(3)
;(4)
.其中正确结论的个数是( )
![](https://img.xkw.com/dksih/QBM/2020/3/31/2431485944676352/2432194682445824/STEM/ee4853e0f6404365be592018ac3985b2.png?resizew=174)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305a88d4e0249bd16d48eda01331d2d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7920c260a4793cb02b78dabe2d817d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f460edcced5597615113c0fdc95b1dfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68a83fdd2ba72a2dba0b6b10bb3e06b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/669674c53cff165a8f31fda33241816f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6d853c6db3f2d7f3b525f9a99dc4466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76cd0dc7d1d62dbf1c17660a29fc8fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27d1e5fc8599f6888a65ad8c6400ba6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41c0e68a502cf66cf6ad8066671c7cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fb4368ec45d9fdbcdbbe652dd2f50c1.png)
![](https://img.xkw.com/dksih/QBM/2020/3/31/2431485944676352/2432194682445824/STEM/ee4853e0f6404365be592018ac3985b2.png?resizew=174)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-04-13更新
|
138次组卷
|
2卷引用:新疆疏附县第二中学2021-2022学年高一上学期开学考试数学试题
名校
3 . 已知函数
,若关于x的方程
有四个不同的根,则实数t的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f374d2a7d45d4f894e80f58d07d2e0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4531a789a0714d8b20aeb8146ee6b157.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2019-03-06更新
|
995次组卷
|
2卷引用:新疆疏附县第二中学2021-2022学年高一上学期开学考试数学试题