名校
解题方法
1 . 已知定义在
上的函数
关于
对称,且
关于点
对称.当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2560cf974cde02ebbd97f02e2b5a7411.png)
A.函数![]() |
B.函数![]() ![]() |
C.![]() |
D.当![]() ![]() ![]() |
您最近一年使用:0次
名校
解题方法
2 . 已知函数
的零点为
,
的零点为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da7eff6f618095502b136763380d8ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/287fcd2e7d35471b89154cb93180a05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
3 . 已知函数
,
.下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af865aabfaa584ce3e7b2abad78d7e9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a88294f9b8f086fc2ff31f5347a4afa0.png)
A.![]() |
B.![]() ![]() |
C.对任意![]() ![]() |
D.对任意![]() ![]() |
您最近一年使用:0次
2024-04-29更新
|
744次组卷
|
4卷引用:重庆市第八中学校2023-2024学年高三下学期高考模拟(三)数学试题
名校
4 . 设关于
的方程
有3个互不相同的实根,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e047b2af830307740ef043b5dae7126b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 对于整系数方程
,当
的最高次幂大于等于3时,求解难度较大.我们常采用试根的方法求解:若通过试根,找到方程的一个根
,则
,若
已经可以求解,则问题解决;否则,就对
再一次试根,分解因式,以此类推,直至问题解决.求根的过程中常用到有理根定理:如果整系数方程
有有理根
,其中
、
,
,
,那么
,
.符号说明:对于整数
,
,
表示
,
的最大公约数;
表示
是
的倍数,即
整除
.
(1)过点
作曲线
的切线,借助有理根定理求切点横坐标;
(2)试证明有理根定理;
(3)若整数
,
不是3的倍数,且存在有理数
,使得
,求
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b4d150dc687f9ff11ee3213ec03864e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86eff5761f61a20c240a428f2a7ceda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f86eff5761f61a20c240a428f2a7ceda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efa90ca9cbf408140831d56638ac9e49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bbe0c7e53077a592e5a6dd5f33d4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67587f2813cc9ed217fa61b82d83d31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08e22570cf8b339a70e8ea0bb696b376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9040a38c1948ba9c5df2a42d01218c34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df03ecaa1fdf8814e014245b3dc5523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b08afab5098dc7af7074d9cb3c246282.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba7204f43679af6935e494c59d40c6ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423cfd9d544692727b99a5878f7e9a1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(1)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e280d0441a31fdbef3ce192d8d8f8dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0660d4864c16652a6b27337462b3f1.png)
(2)试证明有理根定理;
(3)若整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65c4954c0a61e12286e9ce9b7ca2010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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名校
解题方法
6 . 人们很早以前就开始探索高次方程的数值求解问题,牛顿在《流数法》一书中,给出了高次代数方程的一种数值解法—牛顿法,这种求方程根的方法,在科学界已被广泛采用.设实系数一元三次方程:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031a3d02c9cf003a43d894aa7ebdec85.png)
—①,在复数集C内的根为
,
,
,可以得到,方程①可变为:
,展开得:
—②,比较①②可以得到一元三次方程根与系数关系:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f2ae75fee77fee30aa151798182849.png)
(1)若一元三次方程:
的3个根为
,
,
,求
的值;
(2)若函数
,且
,
,求
的取值范围;
(3)若一元四次方程![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa96155bd61717e29fbd3b93c3649d4.png)
有4个根为
,
,
,
,仿造上述过程,写出一元四次方程的根与系数的关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/031a3d02c9cf003a43d894aa7ebdec85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e331b91e1e73a0323097b50d428e73e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c5f02ca9521a8d68480025eaf893e95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e35119b570f422658c3c4df87db6a62d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f2ae75fee77fee30aa151798182849.png)
(1)若一元三次方程:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6fa7c65d0c0d3b83de40a89c876a7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019980a9716b372a9b8e119847be1510.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40501cecf34a9f43807a5e4ded9b92cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8add672e3ec923459fa6335e75317ab3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582da7ec168945ca47881eaccecc82ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
(3)若一元四次方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fa96155bd61717e29fbd3b93c3649d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f5bb89c3ad435f1ef59307b174105ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/365b38a7689a8eede6820cd6f1fe952b.png)
您最近一年使用:0次
名校
7 . 已知,且方程
无实数根,下列命题正确的是( )
A.方程![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,则直线
与
的图象的所有交点的横坐标之和为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ba911e0c8598e57ef5fffc494af00f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026808536f6b6d265c778e23836fbf13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
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2024-03-14更新
|
221次组卷
|
2卷引用:重庆市缙云教育联盟2024届高三下学期3月月度质量检测数学试题
名校
9 . 设函数
的定义域为
,满足
,且当
时,
.若对任意
,都有
,则m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/704eed612a90f7369fdec07a5ecdb686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f4e311edd359f2885c46f6e5752e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ad8f7a67af3d197d74c6b47a1d67ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9135161292cd899936b2972d90fde8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc83237d8c18e4745d112ffaf70fbb8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
10 . 已知定义在
上的函数
,
是奇函数,
是偶函数,当
,
,
,
,则下列说法中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d9762d86b77cdeb1cd38b1f2481707d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ed2dd8a797d6da9c89e858aed9a7da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77538bd3aba1864f5eac30dae75b36d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573d92396ed2215f0a10e67e0af369bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6855784817151468771f29c0fc38fc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b5a82978013ab1b1ca7b0ac128a32fd.png)
A.函数![]() ![]() |
B.函数![]() ![]() |
C.![]() |
D.函数![]() |
您最近一年使用:0次