名校
1 . 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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名校
2 . 已知函数
.
与
轴、直线
,
所围成的图形的面积.
(2)求曲线
与直线
,
及
轴所围成的曲边梯形绕
轴旋转一周所得旋转体的体积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc20c046e42d9972fa23663ce61dc4e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
(2)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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3 . 若
为
上的非负图像连续的函数,点
将区间
划分为
个长度为
的小区间
.记
,若无穷和的极限
存在
,并称其为区域
的精确面积,记为
.
,则
.求由直线
以及轴所围成封闭图形面积;
(2)若区间
被等分为
个小区间,请推证:
.并由此计算无穷和极限
的值;
(3)求有限项和式
的整数部分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51566bf604b79196942e1d98681e8c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804319e6cb58f07ee82ee364e334f36b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170a8099f99d594fe2069db5f5b0a797.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91fc39144ae3149bfe1907c187d16488.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6457204e2c22faf40f619d00beb1735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fff76c34dfd2435ba35ec29bae174168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a7522a05ffe195afcac5524dca7d1cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d23c9ae4c388f71a43f091741e0a2fa8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd120629ba80694f3c127003638921d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a448d3902e8fb6b8d91fbc28867e45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6199ab2ba108562c36d1a2b1bb221a.png)
(2)若区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c589cf775e4342ba056d65523630a3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/668c5b6ed1cff3d2da065fde2d54a0f9.png)
(3)求有限项和式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0be33f195ef0d3c550dced7eb9d1cf1.png)
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4 . 设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36e682e4eea73c6357c3b06ff29bbdd.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a94fd1ee96531561137dd0a48fbde9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a36e682e4eea73c6357c3b06ff29bbdd.png)
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名校
5 . 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)
您最近一年使用:0次
6 . 我们知道通过牛顿莱布尼兹公式,可以求曲线梯形(如图1所示阴影部分)的面积
,其中
,
.如果平面图形由两条曲线围成(如图2所示阴影部分),曲线
可以表示为
,曲线
可以表示为
,那么阴影区域的面积
,其中
.
在区间
与
的图形分别为直径为1的上、下半圆周,在区间
与
的图形分别为直径为2的下、上半圆周,设
.求
的值;
上某一个点处作切线,便之与曲线和x轴所围成的面积为
,求切线方程;
(3)正项数列
是以公差为d(d为常数,
)的等差数列,
,两条抛物线
,
记它们交点的横坐标的绝对值为
,两条抛物线围成的封闭图形的面积为
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f102cb4c683b01f1cd728f543f703f4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924840404483fbdef9af58e844c001ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babadc15694ea4139b1bb919a7d49b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc1742d6a5f52c750720b3f099c3fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfbd9b2c33ae11831377f140b728ca50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38b668edb1a8974b1e882f78178b265c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a8d35b10249abb8a2d50677f56db638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac9833eb592cadc3503eebc041aab21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/376cd70523564eb2a9b8509ca5fec6ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bc5c4dc60dacc4d88d0e929574c0f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2cc4cd1e8bcb4b75b6e799156736e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f76d4f2878eb5a4879b74719b8a69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c3b46e63249a782f911667bbd68e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61f3ad8e800d5fde4f5e48567509a074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d7abf02717d6e59d8a64a65a87c412.png)
(3)正项数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f329b217e1051b23f0d61023cdc6e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4ce64685821c3e55c07f151996ca8c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59dd6c97d2ee3e74ba5730f1cbcc1d43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0c92880b4a88b78d0324564628be0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8c5c0257094e981bec043dfa99a6373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9929daf4497eb9657b95b17b212a0886.png)
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解题方法
7 . 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)
您最近一年使用:0次
8 . 若函数
的图象是连续平滑曲线,且在区间
上恒非负,则其图象与直线
,
,
轴围成的封闭图形的面积称为
在区间
上的“围面积”.根据牛顿-莱布尼茨公式,计算面积时,若存在函数
满足
,则
为
在区间
上的围面积.函数
在区间
上的围面积是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54b53b86bd516400d6fa7dabb3603f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b334dafda377c3db77647c8cf1e95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/babadc15694ea4139b1bb919a7d49b93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e92da4cc260df72ae483bc324f5ed86d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4776c85b79df196f606d3ebf3697fbc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368c73c5b1fc66954165a11ebd9bba5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80e820f5bf097ea09e01c936a33f1911.png)
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名校
9 . 如果函数
的导数
,可记为
.若
,则
表示曲线
,直线
以及
轴围成的“曲边梯形”的面积.
(1)若
,且
,求
;
(2)已知
,证明:
,并解释其几何意义;
(3)证明:
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83d4d758bac9a7272c1d40a5ea4176c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edd8f5b33be6db5be0833f1801bd7a46.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c6a5e6776e205fb09d8a689e1638947.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)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ed0afb829f4d5c61ce89a556376d93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0dc2a031743126b8b4fabb843a55bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc282dae4ac9132196ac5d13f63b901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c38abf9dbef1c45d9fd8143798fa0ea.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e59176a49cf2e21c94cf550888de88c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37a59558292ad6b3d0978bfd7484990.png)
您最近一年使用:0次
2024-02-20更新
|
2427次组卷
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7卷引用:重庆市第八中学校2023-2024学年高三下学期入学适应性考试数学试题
重庆市第八中学校2023-2024学年高三下学期入学适应性考试数学试题(已下线)压轴题函数与导数新定义题(九省联考第19题模式)练(已下线)微考点2-5 新高考新试卷结构19题压轴题新定义导数试题分类汇编湖北省十一校2024届高三联考考后提升数学模拟训练一湖北省黄冈市浠水县第一中学2024届高三下学期第三次高考模拟数学试题(已下线)第5套 新高考全真模拟卷(二模重组)(已下线)压轴题01集合新定义、函数与导数13题型汇总-2
名校
解题方法
10 . 在区间
上随机取两个实数
,则
的概率是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2aa311daf7a73f8c45de4462f9d92b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b7771be64d7bc6fd4fc7a391a19cdc.png)
您最近一年使用:0次
2023-05-20更新
|
328次组卷
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2卷引用:四川省成都市郫都区2024届高三上学期阶段检测(三)理科数学试卷