解题方法
1 . 已知函数
.
(1)若
,在下列网格纸中作出函数
的大致图象;
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/52f032ba-d901-4623-afc6-d30a1a8707d5.png?resizew=163)
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7734ad3d2feaff4113a6c6f75f9238.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/2/52f032ba-d901-4623-afc6-d30a1a8707d5.png?resizew=163)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c7a6237240dee5ad184199b7a44787.png)
您最近一年使用:0次
2 . 设
,
,且a、b为函数
的极值点![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650b262681fdf608130ab36553b24009.png)
(1)判断函数
在区间
上的单调性,并证明你的结论;
(2)若曲线
在
处的切线斜率为
,且方程
有两个不等的实根,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bf717b54f199a2fcb28e988fc2da8f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f139fc1ad6e0cb114f1c6e2be1dfa995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/650b262681fdf608130ab36553b24009.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bd2a15b848dbede398dac79c22a017b.png)
(2)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09f43349742cd3e95d75ffa7f17fbd4.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/b62d7750-5bd3-428d-8f8f-2be12c0a7c09.png?resizew=243)
(1)画出f(x)的图象,并写出
的解集;
(2)令f(x)的最小值为T,正数a,b满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fae2a874cbb5f6bb6d45f2e08a592c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/10/b62d7750-5bd3-428d-8f8f-2be12c0a7c09.png?resizew=243)
(1)画出f(x)的图象,并写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2b45f8224a638bb503ccb01749cfeb1.png)
(2)令f(x)的最小值为T,正数a,b满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d069a600152af92a7fada66aa91138a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/134c1c7e7fd9c7700ee49b0cd788227a.png)
您最近一年使用:0次
2023-05-08更新
|
403次组卷
|
5卷引用:四川省乐山市2023届高三三模理科数学试题
4 . 已知函数
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/2df7826f-196e-44a7-aae9-aed9746b03b5.png?resizew=197)
(1)请在图中画出
和
的图象;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8fd1a361027fa379a87075511718ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e5d6457a2bd393a793f5840cb001814.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/2df7826f-196e-44a7-aae9-aed9746b03b5.png?resizew=197)
(1)请在图中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f343d52d725b942a0634da681b02439a.png)
您最近一年使用:0次
5 . 已知函数
,
.
![](https://img.xkw.com/dksih/QBM/2022/2/21/2921392171024384/2926939060887552/STEM/b043e32e-ccc6-4436-b29d-f6d4ecb99a85.png?resizew=235)
(1)画出
的图象,若
与
的图象有三个交点,求实数
的取值范围;
(2)已知函数
的最大值为
,正实数
,
,
满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e99fc9c920cad0fd4fab2b56fb18a300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://img.xkw.com/dksih/QBM/2022/2/21/2921392171024384/2926939060887552/STEM/b043e32e-ccc6-4436-b29d-f6d4ecb99a85.png?resizew=235)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408a9272589ff1809c137869ce8673a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](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/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20421354eeae0a1b34ba40a57992402.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbadbad21e77939800df4772b977103e.png)
您最近一年使用:0次
2022-03-01更新
|
801次组卷
|
5卷引用:贵州省铜仁市2022届高三适应性考试数学(理)试题(—)
贵州省铜仁市2022届高三适应性考试数学(理)试题(—)贵州省贵阳市2022届高三适应性考试(一)数学(理)试题高考广西桂林、崇左市2022届高三5月联合模拟考试数学(文)试题广西桂林、河池、来宾、北海、崇左市2022届高三5月高考联合模拟考试数学(理)试题(已下线)重难点07 选考极坐标与参数方程、不等式 -2022年高考数学【热点·重点·难点】专练(全国通用)
6 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/2022/2/24/2923413067685888/2933930586349568/STEM/56ce4e4b-5607-4d61-9e40-277ef435aa32.png?resizew=173)
(1)画出
的图象,若
与
的图象有三个交点,求实数m的取值范围;
(2)已知函数
的最大值为 n,正实数a,b,c满足
,求证:a+2b+3c≥3.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17439f76b870df5b66b8ce71f262ae25.png)
![](https://img.xkw.com/dksih/QBM/2022/2/24/2923413067685888/2933930586349568/STEM/56ce4e4b-5607-4d61-9e40-277ef435aa32.png?resizew=173)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/408a9272589ff1809c137869ce8673a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89afe499e9db50743f26a833627bc324.png)
您最近一年使用:0次
2021·全国·模拟预测
7 . 已知函数
(
)的图象经过点
.
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723894297493504/2723926247694336/STEM/6a4d57d2-e352-4d7b-ad65-517ad9f48bef.png?resizew=251)
(1)求实数
的值并作出函数
的图象;
(2)若对任意
,
恒成立,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce7140e7b01380f1f3e86dde953fa6c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baedc4d7e690ab3f7d80d30ba0a9efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881fe2df23c5a0fe1d1fecbe9ffa55fb.png)
![](https://img.xkw.com/dksih/QBM/2021/5/18/2723894297493504/2723926247694336/STEM/6a4d57d2-e352-4d7b-ad65-517ad9f48bef.png?resizew=251)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdf1fba67d258d45304cd866545b9747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70eeee566b8c15528c5d262943aa3f12.png)
您最近一年使用:0次