解题方法
1 . 对于三次函数
、给出定义:设
是函数
的导数,
是
的导数,若方程
有实数解
,则称点
为函数
的“拐点”.同学经过探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且拐点就是对称中心,若
,则该函数的对称中心为____________ ,计算则
的值等于_____________ ;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78b5ced358d06bfc976b69b3f0bf1ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc581690f1d82133bb5fed3d7f365f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0573a6bcc480a91a43126d01bc19eeae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c40a07bf78f05929b12cd264511f968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df4c75d6d43cff08bb4b9fc627b8a2d.png)
您最近一年使用:0次
12-13高三下·海南省直辖县级单位·阶段练习
名校
2 . 对于三次函数
给出定义:设
是函数
的导数,
是函数
的导数,若方程
有实数解
,则称点
为函数
的“拐点”,某同学经过探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且“拐点”就是对称中心。给定函数
;,请你根据上面探究结果,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74509bd102478852d89878c5c2bdaf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2add4fd76fa92391b6a21fd1d043da5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f087ded8039eedaa8aa724b81ec393e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74509bd102478852d89878c5c2bdaf45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2add4fd76fa92391b6a21fd1d043da5.png)
您最近一年使用:0次
2021-11-12更新
|
622次组卷
|
6卷引用:2013届海南省琼海市嘉积中学高三下学期第一次月考理科数学试卷
(已下线)2013届海南省琼海市嘉积中学高三下学期第一次月考理科数学试卷(已下线)2014届吉林省实验中学高三上学期第一次阶段检测理科数学试卷(已下线)2013-2014学年湖北省荆门市高二下学期期末质量检测理科数学试卷福建省漳州第一中学2020-2021学年高二下学期第二次月考数学试题河北省邯郸市鸡泽县第一中学2022-2023学年高二下学期6月月考数学试题河北省邯郸市鸡泽县第一中学2023-2024学年高二下学期3月月考数学试题
解题方法
3 . 对于三次函数
,给出定义:设
是函数
的导数,
是
的导数,若方程厂
有实数解
,则称点
为函数
的“拐点”.某同学经过探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且拐点就是对称中心,若
,则该函数的对称中心为__________ ,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548eb858131e44c6d2a1adf359b3d38c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/155d61774bc044c666368e15c0e83390.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/548eb858131e44c6d2a1adf359b3d38c.png)
您最近一年使用:0次
名校
4 . 对于三次函数
,定义:设
是函数
的导数
的导数,若方程
有实数解
,则称点
为函数
的“拐点”.有同学发现“任何一个三次函数都有‘拐点’;任何一个三次函数都有对称中心;且‘拐点’就是对称中心.”请你将这一发现视为条件,若函数
,则它的对称中心为______ ;并计算
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/012429b7101ba0f84e7b45598ed12db9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d24961510b633429f0220e44353c3d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80f84f2dceedc7ced4773241e7eac19c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2184e4a5ac41ef8a55706a28781503ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caee85afb9ed62666b9e101276c68dea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e04faf3706f7a70397c0c9be711cacc0.png)
您最近一年使用:0次
2018-07-19更新
|
1079次组卷
|
4卷引用:【全国校级联考】辽宁省实验中学等五校2017-2018学年高二下学期期末考试数学(理)试题
【全国校级联考】辽宁省实验中学等五校2017-2018学年高二下学期期末考试数学(理)试题【全国校级联考】辽宁省实验中学、大连八中、大连二十四中、鞍山一中、东北育才学校2017-2018学年高二下学期期末考试数学(理)试题辽宁省凤城市第一中学2018-2019高二6月月考数学(理)试卷(已下线)卷05-备战2020年新高考数学自学检测黄金10卷-《2020年新高考政策解读与配套资源》
5 . 对于函数
给出定义:
设
是函数
的导数,
是函数
的导数,若方程
有实数解
,则称点
为函数
的“拐点”,
某同学经过探究发现:任何一个三次函数
都有“拐点”:任意一个三次函数都有对称中心,且“拐点”就是对称中心,给定函数
,请根据上面探究结果:计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e87c85b8b879efb3df56d63ba3435a.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10acd6d864583617dd3e71240bf0c857.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1fa6ca9eb7cea9131dad36db6a0ac6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab86b09348670f7e7756f7afbbdfc1b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
某同学经过探究发现:任何一个三次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fbde9043dfe0a11dd9094fdad31d93f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f087ded8039eedaa8aa724b81ec393e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e87c85b8b879efb3df56d63ba3435a.png)
您最近一年使用:0次
名校
6 . 对于三次函数
,定义:设
是函数
的导数
的导数,若方程
有实数解
,则称点
为函数
的“拐点”.有同学发现“任何一个三次函数都有
拐点
;任何一个三次函数都有对称中心;且
拐点
就是对称中心”.设函数
,请你根据这一发现,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14591bf478ca9e62c18fa863a4458a1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e367d934bc5de44e8ef7bcd3a2aa1bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8006c87da66bdc3dfbfca655786704c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724536154ae1f42b09aefea975bbc6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b245db45fbcd54c98a252e571c7a81c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5cbf1211335bcbc0ebb05414669eda0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/213925a6262262da1dd2b19daec83aa0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc3966d6f2310513ccb00fbefd9aa56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1388d1c5a4bf415d05ec014bd88835cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc3966d6f2310513ccb00fbefd9aa56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1388d1c5a4bf415d05ec014bd88835cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6684c7e3ecd3e6638e3f1b801969e344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f14591bf478ca9e62c18fa863a4458a1.png)
您最近一年使用:0次
2018-03-20更新
|
464次组卷
|
3卷引用:福建省莆田第一中学2017-2018学年高二下学期期初考试数学(文)试题
名校
7 . 对于三次函数
给出定义:设
是函数
的导数,
是函数
的导数,若方程
有实数解
,则称点
为函数
的“拐点”,某同学经过探究发现:任何一个三次函数都有“拐点”;任何一个三次函数都有对称中心,且“拐点”就是对称中心.给定函数
,请你根据上面探究结果,计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55acaaf5f702f8ac5cb21ee27e93419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75044e0301ef9def5c1a1c8e6f2cba77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aac282e92da3691942a6ba8511de2303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc581690f1d82133bb5fed3d7f365f2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0573a6bcc480a91a43126d01bc19eeae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db46d62d4c778babb46a0a3d223384e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c55acaaf5f702f8ac5cb21ee27e93419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6706fe00b4e231e62d9ecbec567d526b.png)
您最近一年使用:0次
2016-12-04更新
|
589次组卷
|
4卷引用:2016届宁夏六盘山高中高三四模理科数学试卷