(1)若正数
,
满足
,求
的最小值;
(2)已知
,求
的最小值.
![](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/105fb4b627058354111271c353a634e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d6fc9b90f370fbb27552876b650f8f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/752455799e49f846e2601304fec5d3b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec36dfe82d4356bfede7fc1c34ca526d.png)
更新时间:2020-11-14 14:10:16
|
相似题推荐
解答题-作图题
|
适中
(0.65)
【推荐1】已知函数
.
(1)在给出的平面直角坐标系中作出函数
的图象,并写出不等式
的解集(不要求写出解题过程);
![](https://img.xkw.com/dksih/QBM/2017/12/3/1830586304446464/1833265672077312/STEM/359a3a25f0d542128192fd77bf070a64.png?resizew=216)
(2)若不等式
(
,
)对任意的
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2440fc2be4869e6523ea4765499125e.png)
(1)在给出的平面直角坐标系中作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0dd18467feea8eb478f4669a32c2d57.png)
![](https://img.xkw.com/dksih/QBM/2017/12/3/1830586304446464/1833265672077312/STEM/359a3a25f0d542128192fd77bf070a64.png?resizew=216)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce28d005e89057e5521a90c8ab610190.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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解答题-证明题
|
适中
(0.65)
名校
【推荐2】已知
,
,求
的最小值.
解法如下:
,
当且仅当
,即
,
时取到等号,
则
的最小值为
.
应用上述解法,求解下列问题:
(1)已知
,
,求
的最小值;
(2)已知
,求
的最小值;
(3)已知正数
,满足
.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/445dd783a0f731427bde50fea887c1ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e85107c8abd4a977590d7c038ed127a.png)
解法如下:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11abd2c9edc74e429a58fa8988390689.png)
当且仅当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6c34bb88b7df81b0a9cc4f5f532f529.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f86c800af77b70d7799500a45f91721.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddab9f2cdfbb37f5d5845e7943910624.png)
则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e85107c8abd4a977590d7c038ed127a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3755d7e08b98c26303f2f61de7e7ddd2.png)
应用上述解法,求解下列问题:
(1)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af36a3b0f5f36d3e70d5af4b2de6bd44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/751e274e9107d780c39ba9c49d6daefb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13ae8c7022f6f486ce3257e0296baf0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a90dbb3595c370bd76472940830cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e73fdbdcbd094c52f9787d9fbe4f9c6.png)
(3)已知正数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d02a8555da4dbbc7820a50a95b071ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3b2edf826475ee72400c408873facb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97610bfdaa2ae590eb19ff2ba24cbccf.png)
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解答题-问答题
|
适中
(0.65)
解题方法
【推荐1】设函数f(x)=ax2+(b-2)x+3(a≠0).
(1)若不等式f(x)>0的解集为(-1,3),求a,b的值;
(2)若当f(1)=2,且a>0,b>-1,求
的最小值.
(1)若不等式f(x)>0的解集为(-1,3),求a,b的值;
(2)若当f(1)=2,且a>0,b>-1,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b7ecfa145c0866ed13408e326f1ea72.png)
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解答题-问答题
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适中
(0.65)
名校
【推荐2】若
,且满足
.
(1)求
的最小值及相应x,y的值;
(2)求
的最小值及相应x,y的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9482173f803db46ce48a5ae729498d7b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b88584cf1df43e28d03592c7998b1653.png)
您最近一年使用:0次
解答题-证明题
|
适中
(0.65)
解题方法
【推荐1】已知正数
,
,
满足
.
(1)求
的取值范围;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b55fdfce4929156d416ddc96659eb93.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cd2c8162a60806cbe422405adf0b862.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb917f6820d710f8c36c4831e6129370.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐2】已知函数
、
分别是定义在
上的奇函数和偶函数且
;
(1)若对任意的正实数
、
都有
,求
最小值;
(2)若
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df412ae6aa217d7eaa8dd3b88faa9b04.png)
(1)若对任意的正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3192408b02b2a18368624389f35b0d19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27a967517414f551f81f466cf4d396e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abf25a724783207f85e8e84f7ed18b2b.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/587135a60b84b64f405e157fecd88f87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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解答题-证明题
|
适中
(0.65)
解题方法
【推荐3】
(1)已知函数
(p>0),若不等式f(x)≥5的解集为{x|x≤-2或x≥3},求p的值;
(2)已知a,b,c为正实数,且a+b+c=m,求证:
(1)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1ee2faf55a6127f0ab62b8e39dbba.png)
(2)已知a,b,c为正实数,且a+b+c=m,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b9efa310ec2a07b11a6d0e07cbb911.png)
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