已知函数
.
(1)若
,求证:
;
(2)若函数
有两个零点
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
.
①求实数
的范围;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3b963d1b6329ee70d6c0d9b3e805ba.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/200849ce71f53c0321506e27de437b8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5849815c68f25bccdde4d5f81839f140.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd0985146e8adf8ae20d804cc0873c5f.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/84b5f32c09caa0be0d4c33be07aa4530.png)
①求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3951a7bf1d9ca025aeef96c5c60411bd.png)
更新时间:2020-11-29 17:08:48
|
相似题推荐
解答题-证明题
|
较难
(0.4)
名校
解题方法
【推荐1】已知函数
.
(1)若
在
上单调递增,求
的值;
(2)证明:
(
且
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbab6ddd30c7f4c220da36359b9d1e38.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ccc083d588e9efd3b24d80474453148.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0704f453b2de48d36911f7db496bbf82.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
名校
解题方法
【推荐2】已知函数
,
.
(1)讨论
的单调性;
(2)若
,
恒成立,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5768ce230120f50c9a3f629673dfa4cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e37c35e33ffa1a55a0693ae2319da91.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6422b9c2e93a91fe9e39ce4d9dabb0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda7914a347af1936685891db0b58b47.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
【推荐1】已知函数
(
).
(1)若
,求函数
的极值.
(2)若
在
有唯一的零点
,求
的取值范围.
(3)若
,设
,求证:
在
内有唯一的零点
,且对(2)中的
,满足
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52a498b12061b310005404b16a2331c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f972a7a1d05b45cffb5a291f0863c7e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e60c1e3f74e6701b80b370a7bc079120.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76b56230b1dafcad796ad882786afc8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae3c56049b7424e75a3238749c6edd3e.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐2】已知函数
,函数
.
(1)当
时,讨论函数
的单调性;
(2)当
时,求函数
的零点个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb2fb6043949ffd4a0fc14967e23c90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9e9d271392e54ef2055c434430a8dc0.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ffecb03c47be920254c4ccffa5b222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b899f2855a26da448c910a8642d2872.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dc4539c58020a7fab3cc9a01d6dbcb9.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
【推荐3】已知函数
,其中e是自然对数的底数,
.
(1)求函数
的单调区间;
(2)试确定函数
的零点个数,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d927d0aa5d7ec833ab75c831e0f8b0fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5be3af0c67a20bee47063487d305f2.png)
(2)试确定函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1994ff05707f1d2a51716c24623974e9.png)
您最近一年使用:0次