名校
解题方法
1 . 函数
与
的图象上存在关于直线
对称的点,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22013f129a1093f0276d812c3267c871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4abdb0052a30184ec7bdc7e4fbd3922c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2020-04-15更新
|
2086次组卷
|
9卷引用:2020届四川省资阳高三三诊数学(文科)试题
2020届四川省资阳高三三诊数学(文科)试题2020届四川省广安市高三第二次诊断性考试试题文科数学试题2020届四川省眉山市高三第三次诊断性考试数学(文)试题2020届四川省遂宁市高三二诊数学(文)试题(已下线)第八篇函数图像03—2020年高考数学选填题专项测试(文理通用)山东省济南市实验中学2021-2022学年高三上学期10月月考数学试题云南民族大学附属中学2022届高三高考押题卷二数学(理)试题(已下线)专题2-1 函数性质及其应用(讲+练)-3河南省鹤壁市2024届高三上学期第二次模拟考试数学试题
2019·陕西·高考模拟
名校
2 . 函数
,
.
(1)若
,求函数
的单调区间;
(2)若
恒成立,求实数
的取值范围;
(3)设
,
,
为曲线
上两点,且
,设直线
斜率为
,
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ff29b6bf78924a2168bffb0160c335.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37b97b295f88972ba1c7e3cefda0885d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8215654ed71eaa8ba82e53beae852b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dc6baf3d036a99e0e62f280818cd089.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d41acc47493556617fe7b9e55093d10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c45b5bbd5fb7706c6f7c24df34fc145.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b3e79ba736ad6b6957e4ba99eadfa93.png)
您最近一年使用:0次
3 . 已知函数
.
(1)令
,判断
的单调性;
(2)当
时,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ff7dfaef622a305be6c42178069134.png)
(1)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2018-11-11更新
|
938次组卷
|
2卷引用:【市级联考】四川省资阳市2019届高三第一次诊断性考试数学(理)试题
名校
4 . 定义:如果函数
在
上存在
满足,
,
则称函数
是
上的“中值函数”.已知函数
是
上的“中值函数”,则实数
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ecf481b6b83aa59a2befd7c4bfdbf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1c6a98144e0c3fde154c8736620b6ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e856b98d62833d5da433bd9f43cd865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03da2d234eeafb8b06dc29240221e8e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81ecf481b6b83aa59a2befd7c4bfdbf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39000379d64b04e5a96ccb7561406587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914b6ca2933416cce4a52757f4c69072.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-05-04更新
|
2589次组卷
|
5卷引用:四川省资阳市乐至中学2022-2023学年高三下学期开学考试数学(理)试题
四川省资阳市乐至中学2022-2023学年高三下学期开学考试数学(理)试题河北省武邑中学2017届高三下学期一模考试数学(理)试题吉林省实验中学2018届高三上学期第三次月考数学(文)试题四川省成都市双流中学2021届高三下学期三模数学(理)试题(已下线)专题8.2 创新型问题 玩转压轴题-玩转压轴题,进军满分之2021高考数学选择题填空题
5 . 下列说法:
①正切函数在定义域内是增函数;
②函数是奇函数;
③是函数
的一条对称轴方程;
④扇形的周长为,面积为
,则扇形的圆心角为
;
⑤若是第三象限角,则
取值的集合为
,
其中正确的是
您最近一年使用:0次
2017-02-23更新
|
3433次组卷
|
2卷引用:2016-2017学年四川省资阳市高一上学期期末考试数学试卷
6 . 已知函数
是定义在
上的偶函数,当
时,
,若函数
有且仅有
个不同的零点,则实数
的取值范围为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a154aa77357cb73cbcd37275d873a324.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8f30dcb2cdb8d88fca0b3bf60ea9fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b480d04ee966a028e0febdf54d4415db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-02-23更新
|
2157次组卷
|
3卷引用:2016-2017学年四川省资阳市高一上学期期末考试数学试卷
7 . 已知函数
,函数
在
处的切线为
,若
,则
与
的图象的公共点个数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bea93753feaa46d1f7e5c8b58ba09d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abb76da45ffa52b47c3a6b9a03ac7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb577be3e4e4bb089e1dfe3da9b6b1ae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
您最近一年使用:0次
8 . 在钝角△ABC中,∠A为钝角,令
,若
.现给出下面结论:
①当
时,点D是△ABC的重心;
②记△ABD,△ACD的面积分别为
,
,当
时,
;
③若点D在△ABC内部(不含边界),则
的取值范围是
;
④若
,其中点E在直线BC上,则当
时,
.
其中正确的有_____________ (写出所有正确结论的序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7a629304b939cb35d3144d49f13494a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180dc32289bd0e453b072352d9cc4b2c.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc43c7fd5357dfa4ef49ae179dd36401.png)
②记△ABD,△ACD的面积分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/753842832ac2068a7823621fd3cdf52f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ffad5759b1196209330cce7e51755a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2c3f311551d3d6b71414773445a41f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fae2fab40cf25030733b903b9a5e5b6.png)
③若点D在△ABC内部(不含边界),则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75610f029f6859b4eebdc001c55d0720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c51c9f07e0691cdaef52e93872f6251.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81d1e6c160e994eacb98489a274e522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84501ec939b9931e22034dee5c6f825e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a5569b9f84d91f16f1762ef1e6d0c5.png)
其中正确的有
您最近一年使用:0次
2016-12-03更新
|
2520次组卷
|
2卷引用:2014-2015学年四川省资阳市高一下学期期末质量检测数学试卷1
9 . 已知偶函数
(
)在点
处的切线与直线
垂直,函数
.
(Ⅰ)求函数
的解析式.
(Ⅱ)当
时,求函数
的单调区间和极值点;
(Ⅲ)证明:对于任意实数x,不等式
恒成立.(其中e=2.71828…是自然对数的底数)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5752e45ff2e39a2b95cfc63e50ea077b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7258818798c1e64a5bbdd88b15037aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38df4f50e79d6e1937b56ee1e2d5d5cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68988b767006214398f9e1ad92fa7c16.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700ad0541fff4a264dcd9a5bd5c6bb34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(Ⅲ)证明:对于任意实数x,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e79772f1c92d9d2562ac7ec3cde07462.png)
您最近一年使用:0次
2016-12-03更新
|
969次组卷
|
3卷引用:2014-2015学年四川省资阳市高二下学期期末质量测试理科数学试卷
10 . 已知8个非零实数a1,a2,a3,a4,a5,a6,a7,a8,向量
,
,
,
,给出下列命题:
①若a1,a2,…,a8为等差数列,则存在
,使
+
+
+
与向量
共线;
②若a1,a2,…,a8为公差不为0的等差数列,向量![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c47e4009bc0519a5f410bcf346b225a.png)
,
,
,则集合M的元素有12个;
③若a1,a2,…,a8为等比数列,则对任意
,都有
∥
;
④若a1,a2,…,a8为等比数列,则存在
,使
·
<0;
⑤若m=
·![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
,则m的值中至少有一个不小于0.
其中所有真命题的序号是________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42fbca1b06246b6b45587fe1dadfe9cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b5c5c2bc9019843fcec02a56dd449d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/173d79326fcd634bdb761e073d00dc3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8898a138da96add88de8e42930510e3.png)
①若a1,a2,…,a8为等差数列,则存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07d7cab8b0eb1e13d6972815822562f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0241b75bbf58e96ad5e016972b011027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196de9f558dc50d6cbf537e390d74427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bab5cabb08427276c7b66c5e1f15a043.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41fda22bc688d523c3f333f8f08e0806.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c47e4009bc0519a5f410bcf346b225a.png)
②若a1,a2,…,a8为公差不为0的等差数列,向量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c47e4009bc0519a5f410bcf346b225a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e17d85712113ccc3be3b6cf9322e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e1795935bb1b2d95ebda02ce245531.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5e2cd38ee3d1bb54155d6b526f9a10e.png)
③若a1,a2,…,a8为等比数列,则对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a60f82e6dd06b8d9228cbfcce5ab0d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124c9843b7570e01a8e6d4951b508103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
④若a1,a2,…,a8为等比数列,则存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a60f82e6dd06b8d9228cbfcce5ab0d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124c9843b7570e01a8e6d4951b508103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
⑤若m=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/124c9843b7570e01a8e6d4951b508103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1211a8569149cb7439436d6600e42d06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/355edb1bf5a0ccce114aa9e3afdf2c53.png)
其中所有真命题的序号是
您最近一年使用:0次
2016-12-03更新
|
1631次组卷
|
2卷引用:2015届四川省资阳市高三第三次模拟考试理科数学试卷