名校
1 . 计算曲线
所围成图形的面积S.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c19bdd4c295f26e80176aefc88f70720.png)
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2022-05-15更新
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2卷引用:甘肃省天水市秦安县第一中学2021-2022学年高二下学期期中考试数学(理)试题
名校
2 . 已知函数
.
(1)若
,求导函数曲线
与直线
,
及
轴所围成的面积;
(2)求
的单调区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3dc332cf4f19369ea7dcde21555b52.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2d502d9d892310a0d19dd1dd1675991.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c81965854dbe52a513241f196edf2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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3卷引用:甘肃省兰州市教育局第四片区2021-2022学年高二下学期期中考试数学(理)试题
名校
3 . 1.已知曲线
在
处的切线与
平行.
(1)求
的解析式;
(2)求由曲线
与
,
,
所围成的平面图形的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5173a7cdd6bc5ea31007a31c4b7a3c55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04eed461026f69fe9ab2c5dc12af8ac7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求由曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a9b769d70cb6f29e965c800921c8ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
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4卷引用:甘肃省玉门油田第一中学2021-2022学年高二下学期期中考试数学(理)试题
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解题方法
4 . 设直线
与y轴交于点A,与曲线
交于点B,O为原点,记线段OA,AB及曲线
围成的区域为
.在
内随机取一个点P,已知点P取在
内的概率等于
,则图中阴影部分的面积为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/0e376bb0-f7d9-4c47-8d93-5bf3db4cf40c.png?resizew=194)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ed6bee57f4526320197d6a7474386f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/12/0e376bb0-f7d9-4c47-8d93-5bf3db4cf40c.png?resizew=194)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 设直线
与
轴交于点
,与曲线
交于点
,
为原点,记线段
,
及曲线
围成的区域为
.在
内随机取一个点
,已知点
取在
内的概率等于
,则图中阴影部分的面积为( )
![](https://img.xkw.com/dksih/QBM/2021/4/17/2701579553603584/2704669508255744/STEM/94ba75b043f840bea27e4d6f410e4c4c.png?resizew=189)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb9ad1e34877b0db02d0219332b0f7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
![](https://img.xkw.com/dksih/QBM/2021/4/17/2701579553603584/2704669508255744/STEM/94ba75b043f840bea27e4d6f410e4c4c.png?resizew=189)
A.![]() | B.![]() | C.![]() | D.![]() |
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4卷引用:甘肃省金昌市永昌县第一高级中学2020-2021学年高二下学期期中数学(理)试题
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6 . 由曲线
和
围成的封闭图形面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95a43b43650ed3473888a95607908644.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5卷引用:甘肃省金昌市永昌县第一高级中学2021-2022学年高二下学期期中数学(理)试题
甘肃省金昌市永昌县第一高级中学2021-2022学年高二下学期期中数学(理)试题百师联盟2019-2020学年高三上学期期中联考(全国I卷)理科数学试题(已下线)1.7 定积分的简单应用-2020-2021学年高二数学(理)课时同步练(人教A版选修2-2)拉萨那曲高级中学2020-2021学年高二下学期期末考试数学(理)试题江西省南昌市第十九中学2021-2022学年高二上学期期末考试理科数学试卷
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7 . 由曲线
和直线
所围成的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6780f3001a1caf4f1d27149254a74c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
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甘肃省民乐县第一中学2021届高三上学期第二次诊断考试数学(理科)试题(已下线)1.7 定积分的简单应用(基础练)-2020-2021学年高二数学(理)十分钟同步课堂专练(人教A版选修2-2)安徽省阜阳市临泉县第一中学2020-2021学年高二下学期第一次月考数学(理)试题
8 . 如图,抛物线的方程是
,则阴影部分的面积是( )
![](https://img.xkw.com/dksih/QBM/2020/9/13/2549121312382976/2551014015598592/STEM/287c985b8935402580d387888205afb3.png?resizew=114)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40c184c17e35b98fe8094cebe9522e1c.png)
![](https://img.xkw.com/dksih/QBM/2020/9/13/2549121312382976/2551014015598592/STEM/287c985b8935402580d387888205afb3.png?resizew=114)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 曲线
和直线
围成的图形面积是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cca12e576169072fb9c9c0cfba10801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
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解题方法
10 . 如图所示,在边长为1的正方形
中任取一点
,则点
恰好取自阴影部分(由对角线
及函数
围成)的概率为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c904567c3b3734e1eca8d042ef7a7b2d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/50fb5d76-1944-4806-b236-82dc24bc3d38.png?resizew=166)
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2020-09-29更新
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