名校
解题方法
1 . 已知函数
是定义在R上的奇函数.
(1)求实数a的值;
(2)判断并证明函数
的单调性;
(3)求关于x的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31bae8f228dcfa7e66ad2055438fc5e3.png)
(1)求实数a的值;
(2)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)求关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/076e1a1d6f65309c2dabf55fb26c97f7.png)
您最近一年使用:0次
名校
解题方法
2 . 若
且
.
(1)判断函数
的单调性(不必证明);
(2)当
时,若
在
上恒成立,求实数a的取值范围;
(3)当
时,若函数
在区间
(其中
)上的值域为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388c55b4ffd094a596997953d95ec8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42bb28003d53334358dddcbb449ba0b9.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7326ea56be82bd616fec7e6aa3c884c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ab5e0524def52baf53480b8726784ed.png)
(3)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57b85a97933a1d984f6e484b4021c800.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7403f01b62aaf6fc8f5fab5354d0d3a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c63bedd412c3002fec7c158bcd02f644.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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3卷引用:福建省漳州市第一中学2020-2021学年高一上学期第二次月考数学试题
名校
3 . 已知函数
定义在
上且满足下列两个条件:①对
,有
,②当
时,有
.
(1)求
,并证明函数
在
上为奇函数;
(2)判断
的单调性,并证明;
(3)若
,试求函数
的零点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1684ce79f1760a4e0b820e3c4c1822f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ce23d4f9f61a8b1f99d11f4cd2c1d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09fc57f4827b2985a659d91e9ebafbef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/455ba3d3e46977fcbe5b71f8bb9df4be.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1f3d2696aed6a4752b7bcc1368f073d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de9a6b41e25a901542209ab07a957290.png)
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4 . 已知:
是
上的奇函数
(1)求
的值;
(2)判断
的单调性,并证明;
(3)设关于
的函数
且
,使得
.求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c00f5b7df36dd6f58a384f65346c00a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/196b07fe2c22c854a9a14c8dbdcf862a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07487b63106bdbb2388d0cc5b66a269e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc1f6026ee2623513343c2b750110292.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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5 . 2020年初,新冠肺炎疫情袭击全国,某村施行了“封村”行动.村卫生室为了更好的服务于村民,每天对村民进行检测和提供消毒物品,需建造一间底面面积为
的背面靠墙的长方体小房作临时的供给检测站.由于地理位置的限制,房子侧面的长度x不得超过
房屋正面的造价为400元
,房屋侧面的造价为150元
,屋顶和地面的造价费用合计为5800元,如果墙高为4m,且不计房屋背面的费用.
(1)把房子的造价表示成x的函数;
(2)当侧面的长度为多少时,总造价最低
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df1dc5ee495dfc11a9c739802d77b9c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9ed8461c3bea619d0f53e9abc2deb7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffacf08ca6f494cfdf030719136692a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffacf08ca6f494cfdf030719136692a.png)
(1)把房子的造价表示成x的函数;
(2)当侧面的长度为多少时,总造价最低
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5卷引用:安徽省淮北市树人高级中学2020-2021学年高一上学期第一次阶段考试数学试题
6 . 计算求值:
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b0403b2c5b96cb7746ad442897b046.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe8e8c5028f0f85878233c44be1bb8a.png)
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7 . 设全集为R,
,求
及
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33a013c10ecd106bd275619917b4e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e26031c3503a7feaed656c48614fc52.png)
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2卷引用:安徽省六安市舒城育才学校2020-2021学年高一上学期12月第三次月考数学试题
解题方法
8 . 已知函数
,
(1)求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41e5be34aa951af1b06de02c1bad4754.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/748ea8201812d469291017e2104c9bc2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d0e60653e1358ed661fd6ed66b6403.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9786c92b53010f3722ad0b7eae513c41.png)
,
.
(1)判断并证明函数
的奇偶性;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9786c92b53010f3722ad0b7eae513c41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa60005db7cca8485d551460eb835bce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c85886dad735d5b8048ba3d3eab4ce4.png)
(1)判断并证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e5be7e6785730b3c109a8a1354f319.png)
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3卷引用:安徽省滁州市六校2020-2021学年高一上学期调研考试数学试题
名校
10 . 已知函数
.
(1)当
时,求
的定义域和单调区间;
(2)若
在
内为单调函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215afbdd36625e77365c77ef8962800c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-01-09更新
|
177次组卷
|
3卷引用:安徽省滁州市六校2020-2021学年高一上学期调研考试数学试题