解题方法
1 . 已知
.
(1)解不等式:
.
(2)当
时,函数
的图象与x轴围成一个三角形,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c592df4c04962106a3a6d40ae313e796.png)
(1)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/761ab85bb725284822579fbed03f13b8.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c87a9ef1f87936695fb681df932efd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c10df33969dd58a8f6a6a67ee86056.png)
您最近一年使用:0次
2 . 已知实数a、b、c、d,显然
,定义两实数的误差为两数差的绝对值.
(1)求证:
;
(2)若任取a,
,a与c的误差、b与d的误差最大值均为0.1,求ab与cd误差的最大值,并求出此时a、b、c、d的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb25c1dd07c324d3e73107e4c1beba6e.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be03ef85605451c2805bc0a9666d5e84.png)
(2)若任取a,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174dfe527d102db8720f79e281e4462b.png)
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2022-11-16更新
|
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2卷引用:上海市嘉定区2021-2022学年高一上学期期末考试数学试卷
解题方法
3 . 已知
.
(1)若
,解关于
的不等式
;
(2)若
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c3d0f808f90a7325dbb84c8712675a8.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2fb40a36a293471742ce75f6b9635b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2749d590bdf00e76a4bbbcab87694659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
4 . 设函数
.
(1)当
时,求不等式
的解集;
(2)在(1)的条件下,若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/597d2364ca5b030d3ad8d5312978f081.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
(2)在(1)的条件下,若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/203098c0823e8fea021813713f6347aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2023-03-23更新
|
64次组卷
|
2卷引用:陕西省渭南市韩城市新蕾中学2020-2021学年高二下学期第四次月考理科数学试题
5 . 已知函数
,
.
(1)当
时,求不等式
的解集;
(2)若对任意
,都有
成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbd0c040f249b19b6f1e54b2ea2d3ecd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ec4add31dd4c2d48aadbb7bd13e607.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27029d4c6516440017d369772b1f6c1e.png)
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2023-08-09更新
|
249次组卷
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6卷引用:贵州省贵阳市2021届高三8月摸底考试数学(文)试题
6 . 已知函数
.
(1)解不等式:
;
(2)设
均大于0,若
的最大值为
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ded01c2e6cc1ffbeb11c1a078341a46.png)
(1)解不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0ec18aa8ab6f4a4e70722e4df77c9c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989680e6b74504b71f5ece8771c5301d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f9a67d0c6387f646e9041cc37ef63d.png)
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2023-03-14更新
|
84次组卷
|
2卷引用:陕西省渭南市蒲城县2020-2021学年高二下学期期末对抗赛文科数学试题
解题方法
7 . 已知函数
.
(1)求不等式
的解集;
(2)设
,
,
,
的最小值为
,若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d916b7145fb85cdfe34832a799316d.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/188281cc0c7af6e95c32b9bbb94ffc21.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede693e9fed26c40f6fee9c3aaad147c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd4067a19eeb07474557fe7b2508880.png)
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2023-03-12更新
|
62次组卷
|
2卷引用:陕西省汉中市2020-2021学年高二下学期期中联考文科数学试题
名校
解题方法
8 . 已知函数
.
(1)求不等式
的解集;
(2)若
的最小值为m,
,且满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6ad6ab82e02b27f0c6cb22210745758.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a295d553ade056c5788c80d7735417c2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80066bef1503e7b20232e9622847547a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/988954dcfc2d32a42ebdccb105c2d717.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636fbcabc7c11ceb617e6d26e099c88f.png)
您最近一年使用:0次
2023-03-10更新
|
96次组卷
|
4卷引用:陕西省汉中市2021届高三上学期第五次校际联考文科数学试题
9 . 已知关于x的不等式
有实数解,则a的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2fe126af30d7b3c45f3a141d4c50ee3.png)
您最近一年使用:0次
10 . 已知函数
.
(1)求不等式
的解集;
(2)若
对任意实数
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a7809ee1fb390e90806aba2ad66453.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8901f2d5436cdf628a42924fc1e8f06d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0b79c764caf26098a797bdaa5d2f7db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-01-10更新
|
101次组卷
|
3卷引用:陕西省汉中市2021-2022学年高三上学期第四次校际联考理科数学试题
陕西省汉中市2021-2022学年高三上学期第四次校际联考理科数学试题陕西省汉中市2021-2022学年高三上学期第四次校际联考文科数学试题(已下线)安徽省江南十校2022届高三下学期3月一模理科数学试题变式题21-23