这些题没问题的英语怎么写?

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高等数学 这个题怎么写啊
D,S2&S3&S1
这个该怎么写?我只能想出来 这个f(x) = e^(-x)...
如果只从做对这个题的角度:
更特殊的一个函数是y=x^2,区间选为[-2,-1].
楼主可以检验该函数满足所有要求。
S1=7/3. 计算下积分即可。
S2=f(-1)*1=1.
S3=[1+4]/2=5/2.
B S2&S1&S3.
如果严格验证:
因为f'(x)在此区间&0,故是减函数,f(b)&f(a).
更一般的,f(b)&f(x)&f(a) 任意x∈[a,b).
<img class="piczoom mpic" alt="如果只从做对这个题的角度:
更特殊的一个函数是y=x^2,区间选为[-2,-1].
楼主可以检验该函数满足所有要求。
S1=7/3. 计算下积分即可。
S2=f(-1)*1=1.
S3=[1+4]/2=5/2.
B S2<S1<S3.
如果严格验证:
因为f'(x)在此区间<0,故是减函数,f(b)<f(a).
更一般的,f(b)<f(x)
(例如你想出来的e^(-x))、具体的积分区间[a,b],分别计算S1,S2,S3,就可以得到它们之间的大小关系;
2、从几何意义出发考虑:
由已知,函数f(x)是非负、单调减少、凹曲线,随便画一条这样的曲线与取两点a、b,由几何意义知道
S1是曲边梯形的面积(附图中浅蓝加绿色部分),S2是一个矩形的面积(图中浅蓝部分),S3是整个梯形的面积(图中浅蓝加绿色加黄色部分),这样立即可以得到:S2&S1&S3,应该选择B。
<img class="piczoom mpic" alt="这种题目应该是选择题,有两种方法:
1、找一个满足条件的具体函数(例如你想出来的e^(-x))、具体的积分区间[a,b],分别计算S1,S2,S3,就可以得到它们之间的大小关系;
2、从几何意义出发考虑:
由已知,函数f(x)是非负、单调减少、凹曲线,随便画一条这样的曲线与取两点a、b,由几何意义知道
S1是曲边梯形的面积(附图中浅蓝加绿色部分),S2是一个矩形的面积(图中浅蓝部分),S3是整个梯形的面积(图中浅蓝加绿色加黄色部分),这样立即可以得到:S2<S1
谢谢老师 教了我很多。
您的举报已经提交成功,我们将尽快处理,谢谢!
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too long,sorry
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