解题方法
1 . 已知函数
最小值为
;
①
的一条对称轴
;
②
的一个对称中心
且在
单调递减;
③
向左平移
单位达到图象关于
轴对称,且
;
从以上三个条件中任选一个补充在上面空白横线中,作为已知条件.
(1)求函数
的解析式,并求
的单调递增区间;
(2)将
的图象,先向右平移
个单位长度,再将所得点横坐标变为原来的2倍,纵坐标不变,得图象
,令
.若
总
,使得
成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662ce87d539c425134d820379d2f1be1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eec89064e03bb78d28a2bbc5f45930f.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3006eb70e4552dbd912eed02d3a7bea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a51f5f57e9ea14fd6ffdb8a446f91fa.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a76d4494d28279a01a2e2834cd272dc5.png)
从以上三个条件中任选一个补充在上面空白横线中,作为已知条件.
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c58c364950ab00bfd1e1e33108ac8b7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e696901af78642bf7d9ca180a909064.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7efeae993c3297e295bd4c1d964eb5bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f5a2a395156c1d4ac965343b65e504e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知函数
有两个极值点
.
(1)求
的取值范围;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d06aee1856f9f2023dacd2ebe8fa8291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/330d2f97f3edf7195d7389b56421a7fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
2023-03-29更新
|
1028次组卷
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4卷引用:四川省自贡市2023届高三第二次诊断性考试数学(理)试题
3 . 已知椭圆
经过
,
两点,
,
是椭圆
上异于
的两动点,且
,若直线
,
的斜率均存在,并分别记为
,
.
(1)求证:
为常数;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a200ca2c4af794f4d1c6a5443830b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/383f12cb70ca55eba4ff012771dbfa9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c5ad47223dcd7afbd03a26c7f6bb37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/032a2eb83561061db7c31d35a93a328f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f50b3ae183997b707d16eb4e7f6712fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98013a5042685a1db94249e70c62c09a.png)
您最近一年使用:0次
2023-03-29更新
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8卷引用:四川省自贡市2023届高三第二次诊断性考试数学(理)试题
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4 . 已知函数
.若
有两个零点
、
.
(1)求
的取值范围;
(2)若
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af4aa521eb592905bcac50c9e8e034c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e535a00f1c74f82ccac97f3fbacaa791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf096743ec9dc284c8463ef6b1aecdb.png)
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