名校
解题方法
1 . 已知
,我们定义函数
表示不小于
的最小整数,例如:
,
.
(1)若
,求实数
的取值范围;
(2)求函数
的值域,并求满足
的实数
的取值范围;
(3)设
,
,若对于任意的
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8970b99038dfdc964e26f41a1949e968.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91f75630540a77db49408d2c3e3b34be.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06a857be85405c5198bff2d92414a9b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec656fc93f73e7fc5971f7024612937c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd8e0e2c46e8e898749dc197d7e2e5a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10571c75b610d7506b9647cd06ddaf0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e9521c64fdf0f72e6e7a39ab28d07d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be083b8f0bbaba3d676ef4a0f3df0222.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fa12545243d18e3a66f0c277ded319a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-09-28更新
|
507次组卷
|
3卷引用:福建省福州市福清第一中学2023-2024学年高一下学期开学适应性练习数学试题
名校
2 . 如图,在平面直角坐标系xOy中,抛物线
与两坐标轴分别相交于A,B,C三点.
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804503869956096/2806312468815872/STEM/860e5e4a-6855-41c3-bc90-ba6519c7a045.png?resizew=272)
(1)求证:∠ACB=90°;
(2)点D是第一象限内该抛物线上的动点,过点D作x轴的垂线交BC于点E,交x轴于点F.
①求DE+BF的最大值;
②点G是AC的中点,若以点C,D,E为顶点的三角形与△AOG相似,求点D的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31fb55fe9a895607f89b2c0e0b8dedaa.png)
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804503869956096/2806312468815872/STEM/860e5e4a-6855-41c3-bc90-ba6519c7a045.png?resizew=272)
(1)求证:∠ACB=90°;
(2)点D是第一象限内该抛物线上的动点,过点D作x轴的垂线交BC于点E,交x轴于点F.
①求DE+BF的最大值;
②点G是AC的中点,若以点C,D,E为顶点的三角形与△AOG相似,求点D的坐标.
您最近一年使用:0次
名校
3 . 已知
,
,记
,
.
(1)求
的最大值;
(2)若
,是否存在
,使得
?并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/830a7036dda194c876f9cb25f1739637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfdeedcf41f0f47ae669da8ea33a838f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4333bdf07c049cc1c0d0b3063ba49606.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87a655d6935ae3f646e17ff72bc213e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e7e088f43c01d32bf5579b6558ad84a.png)
您最近一年使用:0次
2020-03-15更新
|
141次组卷
|
2卷引用:福建省福州第一中学2020届高三下学期开学质检数学(理)试题