名校
解题方法
1 . 【新学法】运用导数研究函数问题的关键一步是条件的翻译,所以请同学们不用解答,写出关键翻译步骤或转化过程.
(1)
,均有
成立,求实数
的取值范围.请写出本题的转化过程,不用计算结果.
(2)已知函数
.设a,b为两个不相等的正数,且
,证明:
.本题解题的关键之一是应把“
”转化为
(3)设
,
,其中a,
.设
,若对任意给定的
,在区间
上总存在
,使
成立,求b的取值范围.本题解题的关键之一是应把“
成立这一条件转化为数学问题:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3014a553ad914e963a9d0a34583dd277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04e3b2e97106a0651d6756f471e0a610.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13f16ecf00e593999e81a50906659f79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef01d96d9249fe271bdf985850f9b18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a2a62cf41a19cfa86eda86623e569cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aef01d96d9249fe271bdf985850f9b18.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e960bdad0cf39c554f9cc2a364e4378.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab74e118f806b2aa600ea0eb2cccaec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83a733c45def518ffdb84b1a3c8bc508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede47fb90337bf15538fad3205920f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a48c396dcc3949ecc6a5f7286596d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7796652c3e8ca4881dc0f894491b9279.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7796652c3e8ca4881dc0f894491b9279.png)
您最近一年使用:0次
解题方法
2 . 已知中心在原点,焦点为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
的椭圆经过点
.
(1)求椭圆方程;
(2)若M是椭圆上任意一点,
交椭圆于点A,
交椭圆于点B,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e09872be2fce54e922259bde2c540bdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa2e31608e60e3fd40c040cfe9d6e8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca4733400ec78f1378dd337630babd0.png)
(1)求椭圆方程;
(2)若M是椭圆上任意一点,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b67528f875a6d4bac8bbf784f7b66a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183b6a0cef4256c9696a5bca31053da5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3248e218eef5885d063dd2866b59c6b.png)
您最近一年使用:0次
2021-05-24更新
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1285次组卷
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4卷引用:天津市河东区2021-2022学年高二上学期期末数学试题
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