21-22高二·江苏·课后作业
1 . (1)如图(1),直线l是抛物线
在
处的切线,求直线l在y轴上的截距;
(2)如图(2),直线l是曲线
在
处的切线,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1463ebc3b477e08b2851e01e741c2a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
(2)如图(2),直线l是曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5930aad1d8222258fe2d754e30da2116.png)
![](https://img.xkw.com/dksih/QBM/2022/2/23/2922747047501824/2926860197953536/STEM/43be767a-93ea-402a-82ba-0ea32b266da8.png?resizew=415)
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23-24高二上·上海·课后作业
解题方法
2 . 直线
是下列函数的切线吗?如果是,请求出
的值;如果不是,请说明理由.
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9bd144e0e96e4236a14523e0729cacb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f42b2a9736c8943106472a7398d2892.png)
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23-24高二上·上海·课后作业
3 . 已知
,求曲线
在下列各点处的切线斜率,并说明这些斜率的值是如何随着自变量的变化而变化的:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c8a7415f59399b4b1a46489252af39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef00713e73b8357cc7900144f5505bc6.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
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20-21高二·全国·课后作业
4 . 求正弦函数
在区间
内使
的
的值,并说明曲线
在这些点的切线有什么特征.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa7f9b35017daa8b524c5717a355834a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aebb9595cfebe608e2b3ec06c10421dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/868a4cf0549507ca5f2a18b2d1070085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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20-21高二·全国·课后作业
5 . 试说明
和
的几何意义.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa11e7a153875fbbb1812c6baf1aa0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ead5c7a17468196ad3b1e4fb2dd4614.png)
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