已知函数
,
,其中
,且
,设
.
(1)求函数
的定义域,判断它的奇偶性,并说明理由;
(2)若
,求
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/079f267d9993e41899a3b60c40d92616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0986a242bbf615acc4cb517ea1c9691d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bca4be345087f993a4078e16c16608e2.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eb7df298a9364b36e079a61caec815c.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/044b6a081990527685d56bfb3f251e12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36f7ab55b63c08280a41fb64366b819.png)
更新时间:2021-12-17 21:26:35
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解题方法
【推荐1】已知函数
对一切实数
都有
成立, 且
.
(1)分别求
和
的值;
(2)判断并证明函数
的奇偶性.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b672f564d03ed46d092bb130f229ad8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dcbca3478eae63853d2aab5332e2e56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305103717b8a6d8e5b28775c1ee031db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9daeb67645d4260c8dfe47985cba625b.png)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57f82087ecee387a0cefa21f3f65c76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b383f67b176f198e7b3f83782545b71d.png)
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823707c3f75d1369a210e8016153eec0.png)
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【推荐2】已知函数
.
(1)判断
的奇偶性;
(2)求
在区间
的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0640d342473833dece24c6dfec8a1998.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
您最近一年使用:0次
解答题-问答题
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较易
(0.85)
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解题方法
【推荐1】已知函数
.
(Ⅰ)求函数
的定义域,并判断函数
的奇偶性;
(Ⅱ)求解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/068c7ea18649191135e4fd9d87d60ef8.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(Ⅱ)求解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc99c8cac52f797c6829dd7a1a47731d.png)
您最近一年使用:0次
解答题-问答题
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较易
(0.85)
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解题方法
【推荐2】已知函数
.
(1)求函数
的定义域;
(2)判断函数
的奇偶性;
(3)
,求函数
的最大值及此时x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/452d9397b90650523a84a9918d9f835b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdd66dd931debb12191bb6dc97ff817d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
您最近一年使用:0次
解答题-问答题
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较易
(0.85)
解题方法
【推荐1】设函数
,其中
.
(1)证明:
是
上的减函数;
(2)若
,求x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f0d44e5f2a33833bdf7637e9c5f0de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eb16c96e17c1344f79bfff028a4f18f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
您最近一年使用:0次
解答题-问答题
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(0.85)
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【推荐2】已知函数
.
(1)判断
的奇偶性并证明你的结论;
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e81a414323589af4ed230c17aa2faf1.png)
(1)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e02125e0a1f3cda39742b765baa74c.png)
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