解题方法
1 . 截面惯性矩
是衡量截面抗弯能力的一个几何参数,若截面图形为矩形,则
,其中
为矩形的宽,
为矩形的高.某木器厂要加工如图所示的长方体实木梁,已知该实木梁的截面图形为矩形
,且矩形
外接圆的直径为
,要使该截面的惯性矩最大,则矩形
对应的高应为______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910c6cc1a6e5f6f601f9336d5f08c7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe9f7abf7bcf4e1aa2579cd191d7761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9efa9fbcfb9595e2f031aa691db4564b.png)
您最近一年使用:0次
解题方法
2 . 已知
是函数
有四个零点,记
的导函数为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ccd22fd0ca1a8e1468329284f91b6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51fb3ef65a6ee809219a3f9f78d127fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
A.![]() | B.![]() |
C.![]() ![]() ![]() | D.存在![]() ![]() |
您最近一年使用:0次
3 . 已知函数
在区间
内有两个极值点.
(1)求实数
的取值范围;
(2)若
的极大值和极小值的差为
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085f6e0545853d86ec16f679a674ca0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5239e374894f95da60c5cb35a2a718.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](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/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
解题方法
4 . 已知函数
,其中
.
(1)若
在
上单调递增,求
的取值范围;
(2)当
时,若
且
,比较
与
的大小,并说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de5d8b47803fd0c50ef08fb062ebff57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65ffe9797023a0038385bc62b7977a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a90e844484528f01cf5a7788cbfcde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ea366f1b3e38506c5aa54dbd9d2484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13ea84021d189d62dc67dca64f6d960b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa120c26ce52f9f6f61f9121ce0f9a31.png)
您最近一年使用:0次
5 . 任何一个复数
(
,
,
为虚数单位)都可以表示成
(
,
)的形式,通常称之为复数
的三角形式.法国数学家棣莫弗发现:
(
),我们称这个结论为棣莫弗定理,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b40b6895776e0807c2baecbc8f33a8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f56daf4df0f2bfb7e665bd623cd6f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8854e9e76c97cad3acc7388d5f87dc13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/388d3d213a231cccf854a29eef611d01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd689682c3a895937b4ea0525288afcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930bc56406e69b785b37a83d48e36724.png)
A.复数![]() ![]() |
B.当![]() ![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() ![]() |
您最近一年使用:0次
6 . 已知函数
.
(1)讨论
的单调性;
(2)当
时,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46c64890f20311b50987a8a41c78c41f.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f5f7a36e251bbc424ccc127ebb2881.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8cf24d9858ad4e30f2f194e8c97d38.png)
您最近一年使用:0次
名校
7 . 函数
的图象在
处的切线为
.
(1)求
的值;
(2)求
在
上零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64ffb145f8ecfbf55b4a132d8e08baf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3387dc60a3712cea80c54b59ce8fa09a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
您最近一年使用:0次
名校
8 . 已知复数
,
,
,下列说法中正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a67a742d2a43e907fb1c3a1bdf1d6a9.png)
A.若![]() ![]() |
B.![]() ![]() |
C.若![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
解题方法
9 . 若函数
在
上单调递增,则
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cac734219f9130afda1084bd42e52ff8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
10 . 已知函数
.
(1)当
时,求曲线
在点
处的切线方程;
(2)若
求
在区间
上的极值点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0763428bb69c5eddc5010d1866b9241.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c357fbf5c5d7fb211fac7b575c77d4df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71163f419555f2ed76075c8ff659fbfc.png)
您最近一年使用:0次