1 . 若
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6966a8f007b48125b2d63464b87472f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c67cbef6f42a6afcad528292d6eb1f74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2778ed510be232f8c7cbc19e66d156ae.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7日内更新
|
25次组卷
|
2卷引用:青海省西宁市大通回族土族自治县第一完全中学2024届高三第二次月考数学(理科)试题
名校
2 . 由抛物线
与直线
及
所围成图形的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0483173e47cf2f3fe427826c08d3f1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94fcf57347aec685a8fca271aba14eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
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3 . 一般地,设函数
在区间
上连续,用分点
将区间
分成
个小区间,每个小区间长度为
,在每个小区间
上任取一点
,作和式
.如果
无限接近于
(亦即
)时,上述和式
无限趋近于常数
,那么称该常数
为函数
在区间
上的定积分,记为
.当
时,定积分
的几何意义表示由曲线
,两直线
与
轴所围成的曲边梯形的面积.如果
是区间
上的连续函数,并且
,那么
.
(1)求
;
(2)设函数
.
①若
恒成立,求实数
的取值范围;
②数列
满足
,利用定积分几何意义,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2779faf49c4c603fdb73ef6f03cc8d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e9909c1172f1e48d86dd38c8c9728a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78d74528a8974c188d81391d4f158c28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3b6ed0cf8753da31759fcdec5e2f4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e827229de8424d07fe1f5d4dfb8b0dd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e39890697236d28d4c81e05c255fed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c95b6be4554f03bf496092f1acdfbb89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a107eb946e0fe41629c644b7628d5cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8930c962e3b094e1ee2a99c8cc44cead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58196b9e63ec00aa1119052b6de6ae12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024c4cff71b59cd710d9e69618ed0428.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436ff3cf58de28b55f7605675a47d818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca6d68f1de3e70696f1d5d60affe6ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4dd421af6cde8dad1ef435eb12cc45a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d462ee178d59547f72567d59d8a6d8c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1641f83d00194762e3e5332d2620aed9.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df83a09286eae3c3d4c674065ce07bf8.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4f016825fcb10e4819eb3c8af9d5841.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76aef4cdcb5af742ce28003b7b6c8c20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/598da453256520641a243aba79e072d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c9d14bfa527b5ba538cc3960e9396f.png)
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2024-05-02更新
|
105次组卷
|
3卷引用:江苏省海安市实验中学等四校联考2023-2024学年高二下学期5月检测数学试题
解题方法
4 . 一般地,设函数
在区间
上连续,用分点
将区间
分成
个小区间,每个小区间长度为
,在每个小区间
上任取一点
,作和式
.如果
无限接近于0(亦即
)时,上述和式
无限趋近于常数
,那么称该常数
为函数
在区间
上的定积分,记为
.当
时,定积分
的几何意义表示由曲线
,两直线
与
轴所围成的曲边梯形的面积.如果
是区间
上的连续函数,并且
,那么
.
(1)求
;
(2)设函数
.
①若
恒成立,求实数
的取值范围;
②数列
满足
,利用定积分几何意义,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2779faf49c4c603fdb73ef6f03cc8d82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d62698894cd2008bc718645dc5615e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/058b6a24dd8207a5bb15af23b536fbf7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d80ab9d17c90844401100376fa2713d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f2edc4a53872c30616bca5f3f7ee67c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1268e217016ff7e12b9bc51341c4cde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a107eb946e0fe41629c644b7628d5cba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8930c962e3b094e1ee2a99c8cc44cead.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4eab9145ec5e13b0ae21c135a5b625.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/436ff3cf58de28b55f7605675a47d818.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f030c36bb8786df88d401792062a4100.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d4d758bac9a7272c1d40a5ea4176c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d5365888545b29d3850a5eca1b0e54.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adb480d935f37cfe76dcb6dcb25a5fb3.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f0216d4ec1601bfbc0c642a78491c02.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a48eebe55c30519af8dbc50512a3f41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
②数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49afef24cbe3b97b62488510ef5168b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7c9d14bfa527b5ba538cc3960e9396f.png)
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d5ba4ad80c2f28a45cb6ccf9a17052.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21d5ba4ad80c2f28a45cb6ccf9a17052.png)
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6 . 由曲线
,
所围成图形的面积![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
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7 .
的值( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51596b906714e188d8951b4c996f8204.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
8 . 设
,
,
,则a,b,c的大小关系( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31f1a6eda93b388b862794f11e9c43e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/026c07f2eed1d61f59121c4ad9815d7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5f73308cb4d8b2932beef6d1fcdfec8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
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解题方法
9 . 若函数
在区间
上的值域为[m,n],则
的值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb3417d80a53be5822a2745ae89a5593.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89e47705b23a36df4baf40e82964d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fd1f0ace9ca0b79929e73af6c201c2e.png)
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10 . 已知
,求
的常数项系数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96eda9678ac12a6d275f9e2e6894d94b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf88a27a420067c6bcad4dc772de0121.png)
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