名校
解题方法
1 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7433393cb69d82b81f5bfbdcbebb7722.png)
.
(1)求
,
的值;
(2)若
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7433393cb69d82b81f5bfbdcbebb7722.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de624ef08ab0043a976aa9739a92c9c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d55ef0d1b7ea88d92fd6e1ecebb5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fef7672c5d8d64d61cecb70bcf615e0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09808f4f06d743f9352ff6dbf983971e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
2 . 已知函数
.
(1)在给定的平面直角坐标系中作出函数
的图象,并写出它的单调递减区间;
(2)若
,求实数
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6205165890d1d1edf9c93d09b151f68f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/30/87abf4e2-79f2-4659-b710-9dd8ffe4c7a7.png?resizew=240)
(1)在给定的平面直角坐标系中作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb2bd42f33c8d09d81c233d977364112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
您最近一年使用:0次
3 . 2012年7月1日,居民阶梯电价开始实行.“一户一表”的城乡居民用户电量从今往后正式按照三档收费.第一档月用电量为180度及以下,用电价格0.50元/度.第二档月用电量为181度-280度,电价0.55元/度.第三档月用电量为281度及以上电价0.80元/度.
(1)写出月电费
(元)与月用电量
(度)的函数关系式;
(2)若某户居民的电费为110元,问这户居民的用电量是多少?
(1)写出月电费
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若某户居民的电费为110元,问这户居民的用电量是多少?
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名校
解题方法
4 . 某城市为了鼓励居民节约用水,采用分段计费的方法计算用户的水费.计费方法如下表:
(1)设每户每月用水量为x
时,应交纳水费y元,写出y关于x的函数关系式;
(2)若某同学家本月交纳的水费为60元,则其本月用水量是多少?
每户每月用水量 | 水价 |
不超过12![]() | 3元/![]() |
超过12![]() ![]() | 6元/![]() |
超过18![]() | 9元/![]() |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eab9bcb68861b73f12a65eb9e94700d.png)
(2)若某同学家本月交纳的水费为60元,则其本月用水量是多少?
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5 . 已知函数
.
(1)求
;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acd0542daea7e21e4127b39b412f1e1f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c871677f7b3fdc2c399a8b8de86b57f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e9089e21e10f127e970d8e42e55244.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数
,其中
,
.
(1)求函数
的解析式;
(2)已知方程
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a6051edd6051e277a17741867bc425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c131afe88023786e754e43689628c67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a0169e37472db54391a8d175f8b2de.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
您最近一年使用:0次
名校
解题方法
7 . 已知函数
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
(1)若
,
,求实数
的值;
(2)若函数
的值域为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbc52b0a7bb63234a705dd3d5ae9e22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0d68648b10fce54dfc19c5ee60086d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5095a28bb1b91bf6bed9e2cfbd76bb18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a2b3d797aa62f036c4f6172d38c858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解题方法
8 . 已知函数
.
(1)若
时,求
的值;
(2)若
时,且
,求
的值;
(3)若
在R上是增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3e383174b251a0a6110702b27c6446.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499109aa338f9c5da30ae0a590809f3b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28638f8c054a7bb4d9b46fde330bc76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
9 . 已知函数
.
(1)求
,
的值;
(2)若
,求实数a的值;
(3)直接写出
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e59472cb37535373406936547242dc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef42da484f79cfaa474a289343cc8b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754386f1d84e582d52d8219080a81528.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8935dc56111774227294e35d34c6200f.png)
(3)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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10 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac26961bab48a9301f307274649e4981.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/2898253d-4de8-44c0-a716-1407a4e58e6f.png?resizew=213)
(1)求
的值;
(2)若
,求
的值;
(3)请在给定的坐标系中画出此函数的图象(画到答题卡上的坐标系中),并根据图象写出函数
的值域
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac26961bab48a9301f307274649e4981.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/14/2898253d-4de8-44c0-a716-1407a4e58e6f.png?resizew=213)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4474bd87c00ac3ee99ab366527ded109.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a04042cd29185f7f48399495d7df371e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)请在给定的坐标系中画出此函数的图象(画到答题卡上的坐标系中),并根据图象写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次