解题方法
1 . 已知函数
.
(1)设
,判断并证明函数
的奇偶性;
(2)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd59fed0f819c8fe3e993a4d669b26.png)
(1)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0894ffa54f67f6e3c8e1cc1de39a16a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade620e7e7174385292536dc37e37744.png)
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名校
2 . 已知函数
,证明“
”是“
的最小值与
的最小值相等”的充分不必要条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c5be3b64a8022519988f2dfdffe19e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34ed249c27b60fe796bfb697de3abddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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3 . 设函数
是定义域为R的奇函数.
(1)求
的值;
(2)若
,试判断
的单调性(不需证明),并求使不等式
恒成立的t的取值范围;
(3)若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d231be3caec9a255e491e68305654c98.png)
,求
在
上的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b06dd9732a26c6fc7c6ad26000595d1.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41f3df8bf24d2c68add3f3de3efc4147.png)
![](https://img.xkw.com/dksih/QBM/2016/12/26/1619433622151168/1619433622691840/STEM/ec130ae0d4aa4c9e8c2506ce786fec57.png?resizew=61)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b0fd153871dfb101f21ea7fcb00792a.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d231be3caec9a255e491e68305654c98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e45bcd8f6ede8cc2513ad41402f40086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7dcdd87d593df4a5c5e98d47fe1cfa6.png)
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2017-02-08更新
|
670次组卷
|
3卷引用:2016-2017学年江西省赣州市十三县十四校高一上期中数学试卷
10-11高二下·重庆·阶段练习
4 . 如图,在斜边为AB的Rt△ABC,过A作PA⊥平面ABC,AE⊥PB于E,AF⊥PC于F.
![](https://img.xkw.com/dksih/QBM/2011/4/13/1570117697257472/1570117702590464/STEM/7f17ff3f67db4eba802e4150f08f625a.png?resizew=165)
(1)求证:BC⊥平面PAC.
(2)求证:PB⊥平面AEF.
(3)若AP=AB=2,试用tanθ(∠BPC=θ)表示△AEF的面积,当tanθ取何值时,△AEF的面积最大?最大面积是多少?
![](https://img.xkw.com/dksih/QBM/2011/4/13/1570117697257472/1570117702590464/STEM/7f17ff3f67db4eba802e4150f08f625a.png?resizew=165)
(1)求证:BC⊥平面PAC.
(2)求证:PB⊥平面AEF.
(3)若AP=AB=2,试用tanθ(∠BPC=θ)表示△AEF的面积,当tanθ取何值时,△AEF的面积最大?最大面积是多少?
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