名校
解题方法
1 . 已知函数
(其中
为实数).
(1)若
,证明:
;
(2)探究
在
上的极值点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a57451cb33cee6a4876b5602c700f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cfbd4a8f720eb187ecfd4b4fe69d1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)探究
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28933f93d4952657848a1564f37bd6e5.png)
您最近一年使用:0次
2024-01-03更新
|
934次组卷
|
8卷引用:四川省资阳市2024届高三二模数学(理)试题
2 . 已知函数
.
(1)若
有3个零点,求a的取值范围;
(2)若
,
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3315173cad088fff5ebfe827b839ebee.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/936654c9cbaf277ffaf95a248ad1443d.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
的定义域均为
,且
,
,若
的图象关于直线
对称,则以下说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614af486f69e73f4fb0e23f0e686fc9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96e157b2495c34c099ec2c22a67ee898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
A.![]() | B.![]() |
C.![]() ![]() | D.若![]() ![]() ![]() |
您最近一年使用:0次
2023-06-12更新
|
2602次组卷
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9卷引用:四川省资阳市安岳中学2023-2024学年高一上学期期中数学试题
四川省资阳市安岳中学2023-2024学年高一上学期期中数学试题浙江省宁波市效实中学2022-2023学年高二下学期期中数学试题(已下线)第5课时 课中 函数的奇偶性(完成)黑龙江省大庆市肇州县第二中学2023-2024学年高二上学期9月月考数学试题(已下线)专题突破卷09 奇偶性、对称性与周期性辽宁省沈阳市东北育才学校科学高中部2023-2024学年高一上学期期中数学试题浙江省湖州市湖州中学2024届高三上学期第一次质量检测数学试题2024届高三新改革适应性模拟测试数学试卷五(九省联考题型)(已下线)专题4 抽象函数问题(过关集训)(压轴题大全)
名校
4 . 设函数
.
(1)求
的单调区间;
(2)若
时,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f993d1d7423f6f7d3f699c4482d3336.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9507b6a59d191020939b96fdab43a11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2022-07-10更新
|
643次组卷
|
3卷引用:四川省资阳市2021-2022学年高二下学期期末质量检测数学(理)试题
名校
解题方法
5 . 阿波罗尼奥斯在其著作《圆锥曲线论》中提出:过椭圆
上任意一点
的切线方程为
.若已知△ABC内接于椭圆E:
,且坐标原点O为△ABC的重心,过A,B,C分别作椭圆E的切线,切线分别相交于点D,E,F,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4977e4c6a500f429f4d85029b8c75bb2.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed6b9540857e386651e191a0a5b5a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc26262f7a1603369462c7c2f2197a42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a9656735f55e5de465e5667ba578d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eed6b9540857e386651e191a0a5b5a98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4977e4c6a500f429f4d85029b8c75bb2.png)
您最近一年使用:0次
2022-04-07更新
|
2896次组卷
|
9卷引用:四川省资阳市资阳中学2021-2022学年高二下学期3月月考数学试题
6 . 如图所示,在平面直角坐标系中,椭圆
:
的左、右焦点分别为
,
,设
是第一象限内
上一点,
,
的延长线分别交
于点
,
.
(1)求
的周长;
(2)设
,
分别为
,
的内切圆半径,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0739793f234f8e86adc6177801ae7295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b454cdb97c408300b50d945f002c2cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae863e7a1f1fed09f1075de4a817c63.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/18/cce594db-9bbe-4a94-8d62-d6d6eb59b659.png?resizew=199)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7733784336d1592cfe38e6a629140ef0.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2858005b9ae89ae080d83dcc13cf8e81.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b3e95410f3b4fcb0cba425b521d1f67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7733784336d1592cfe38e6a629140ef0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f01d20fc53563351369c9bcb1360c410.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd3d19b0c8b544d52b897ca30990b4.png)
您最近一年使用:0次
2021-11-12更新
|
1577次组卷
|
4卷引用:四川省资阳中学2021-2022学年高二下学期期中考试数学(理科)试题
四川省资阳中学2021-2022学年高二下学期期中考试数学(理科)试题浙江省嘉兴一中2021-2022学年高二上学期期中数学试题(已下线)理科数学-2022年高考押题预测卷02(全国甲卷)浙江省浙南名校联盟2023-2024学年高二上学期10月联考数学试题
名校
7 . 已知函数
.
(1)当
时,求
在
处的切线方程;
(2)当
时,讨论
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7d0a7d188d54c3879cf0701f0bad339.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e5e8b0dcc2cd1221a4967167a03ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd1309167e869dec1c1465c7e757d2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
您最近一年使用:0次
2020-11-29更新
|
713次组卷
|
3卷引用:四川省资阳市2021届高三第一次诊断性考试理科数学试题
8 . 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
2012·四川资阳·二模
解题方法
9 . 设函数
,函数
(其中
,e是自然对数的底数).
(1)当
时,求函数
的极值;
(2)若
在
上恒成立,求实数a的取值范围;
(3)设
,求证:
(其中e是自然对数的底数).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdce8760fb1984790f09514693e32bc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3026a05bfbad9e49d48b623d3f2e5e93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab4d6062e6e6fef7275687b982fad0a0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b4955c5adc717b7f6f0b975e0724ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe86cace140f2c3588ab115837bbfc9e.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119c680efb11bf47bba35b246aa5f4d3.png)
您最近一年使用:0次