知
函数
(
且
)的图象经过点
.
(1)求函数
的解析式;
(2)设
,用函数单调性的定义证明:函数
在区间
上单调
递减.
![](https://img.xkw.com/dksih/QBM/2017/4/17/1667780025802752/1669353155371008/STEM/632af60a12134c21a6a272751f8515d8.png?resizew=2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ac01b1e9bcfdf9e70034b4220a22aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b47463e82cd5a3630c266df0e8f450.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e80bd19c51fc12e19b7ba5fd63efdc5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd467486709aa9b78a1ae938fa92ca74.png)
![](https://img.xkw.com/dksih/QBM/2017/4/17/1667780025802752/1669353155371008/STEM/632af60a12134c21a6a272751f8515d8.png?resizew=2)
15-16高一上·江苏南京·期中 查看更多[2]
更新时间:2017-04-19 22:50:36
|
相似题推荐
解答题-问答题
|
较难
(0.4)
名校
解题方法
【推荐1】若两个函数
和
对任意
都有
,则称函数
和
在上
是疏远的.
(1)已知命题“函数
和
在
上是疏远的”,试判断该命题的真假.若该命题为真命题,请予以证明;若为假命题,请举反例;
(2)若函数
和
在
上是疏远的,求实数
的取值范围;
(3)已知常数
,若函数
与
在
上是疏远的,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68dcefc64522affe52cb23609e1ed318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b64537743379242ee87505563d3a92ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df606d4adb89b5473944bb98363a6f53.png)
(1)已知命题“函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b6e13798211ab7a313b83bb958a009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5013206591edea029e8748159034a308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69825660f852b3e07e21ddd804c4afb.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b6e13798211ab7a313b83bb958a009.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5013206591edea029e8748159034a308.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d090c9fd3be22879e33f58e23be1bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知常数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e4cc00c283519973f7f8e1274b5c733.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944d9ff34a45741697f2e5c115af1074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30334e741241937414a7c09ba4759989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c70eceeee00d6fcc82d35d24618dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
解题方法
【推荐2】已知函数
是定义在
上的奇函数,当
时,
.
(1)求函数
的解析式;
(2)①证明函数
在
上是单调递减函数;
②判断函数
在
上的单调性(不要证明);
(3)根据你对该函数的理解,作出函数
的图像.(不需要说明理由,但要有关键特征,标出关键点)
(本题可能使用到的公式:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc1cc4a137a37559547bc96bebdd024.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)①证明函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
②判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeb49dbba01c4ff5f686ffc8828351b2.png)
(3)根据你对该函数的理解,作出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/803b2de32177f5ebb64b38115356f388.png)
(本题可能使用到的公式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f35c30f027c8d39805c829139fa915d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/10/6d599c35-9a95-4fab-9d20-1f46c10efa7b.png?resizew=214)
您最近一年使用:0次
解答题-证明题
|
较难
(0.4)
名校
【推荐3】已知函数
(
,
为自然对数的底数).
(1)当
时,判断函数
的单调性,并证明你的结论;
(2)当
时,关于
的不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7052b7b823b26370fe2ef6f8c269c4c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797bbd18359c9a29842b39109b3a0aac.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c4b27524cee9197557b528bcf536b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92382c9fe8a54d85a03d2d96d6b5d4b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解答题-问答题
|
较难
(0.4)
解题方法
【推荐1】已知函数
为对数函数,函数
的图象与函数
的图象关于
对称,设函数
,且对任意
都有
恒成立.
(1)求函数
的解析式;
(2)若函数
在
上的最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e78f50ba34a711fe64198e358b62e0e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd84da85388fcc2b7b74eed6790b9318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12f48232ea888fd31e850879c444641f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d786ee0f73092274bce83c0670d5030a.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0a08521c64aae3d19fe3fe1da35708f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ade31f6684e3033e377b90691ec2204d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
【推荐2】(1)
是以
为定义域的减函数,且对于任意
,恒有
,写出一个满足条件的函数
的解析式;
(2)
是以
为定义域的奇函数,且对于任意
,恒有
,写出一个满足条件的函数
的解析式;
(3)
都是以
为定义域的函数,写出一组满足下列条件的函数
的解析式,对于下列三组条件,只需选做一组,满分分别是①,②,③;若选择了多于一种的情形,则按照序号较小的解答计分.
①对于任意
,恒有
;
②对于任意
,恒有
;
③对于任意
,恒有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8938db94f49dcbe0c383fba0241bb0da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edae93ec9de65d7e8afd2a53063c8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6521ef75f0a05fe62cdfd2fbbe0430b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3e7b518cb75942782cfd5ff76b4d281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edae93ec9de65d7e8afd2a53063c8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d742d95248b0405a80193874215697f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79fe3414b32bbd1190b41ed8307f905.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c0ed188d083966baaae94e6b86064f9.png)
①对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8922d8ff02df8086ff73209683edcc6a.png)
②对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cb81f4caa9c1f6d753f5e2d616e71d.png)
③对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/737c165baced95d7095d9f918a9cc110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a6d088b362fbdf21a6e7fe12995e30.png)
您最近一年使用:0次