A: [img=20x18]1803bd52d74f76c.png[/img] is an eigenvalue of the position operator [img=11x19]1803bd52df60698.png[/img] .
B: [img=70x25]1803bd52e788f4d.png[/img] is an eigenfunction of the position operator [img=16x19]1803bd52ef5ee5a.png[/img]
C: The position operator [img=11x19]1803bd52f76293f.png[/img] is a linear operator.
D: The operator [img=28x18]1803bd5300119fc.png[/img] is a linear operator.
举一反三
- Define an inner product by [img=183x51]18034570c994c23.png[/img] and the Hilbert space [img=314x25]18034570d4e10d1.png[/img]. The operator [img=110x49]18034570de689c2.png[/img] is a self-adjoint operator.
- 令F(x):x是有理数,G(x):x是实数。将命题“所有的有理数都是实数,但有的有实数不是有理数”符号化为() 未知类型：{'options': ['17e0a83a4157352.jpgx(F(x)∧G(x))∧[img=8x14]17e0a83a35505d4.jpg[/img]x(G(x)[img=14x9]17e0a73094b5dcf.jpg[/img][img=10x11]17e0a839b915354.jpg[/img]F(x))', ' [img=8x14]17e0a83a4157352.jpg[/img]x(F(x)[img=14x9]17e0a73094b5dcf.jpg[/img]G(x))∧[img=8x14]17e0a83a35505d4.jpg[/img]x(G(x)∧[img=10x11]17e0a839b915354.jpg[/img]F(x))', ' [img=8x14]17e0a83a4157352.jpg[/img]x(F(x)∧G(x))∧[img=8x14]17e0a83a35505d4.jpg[/img]x(G(x)∧[img=10x11]17e0a839b915354.jpg[/img]F(x))', ' [img=8x14]17e0a83a4157352.jpg[/img]x(F(x)[img=14x9]17e0a73094b5dcf.jpg[/img]G(x))∧[img=8x14]17e0a83a35505d4.jpg[/img]x(G(x)[img=14x9]17e0a73094b5dcf.jpg[/img][img=10x11]17e0a839b915354.jpg[/img]F(x))'], 'type': 102}
- 在下列命题中:如果f(x)=[img=28x44]17e0bf9914bb2f1.png[/img],那么[img=27x29]17e0bf97582597b.png[/img]f(x)=0;如果f(x)=[img=28x44]17e0bf992111a1c.png[/img],那么[img=27x29]17e0bf97582597b.png[/img]f(x)=0;如果f(x)=[img=55x44]17e0bf992d8de0a.png[/img],那么[img=29x29]17e0bf9939482bb.png[/img]f(x)不存在;如果f(x)=[img=87x53]17e0bf99450fa82.png[/img],那么[img=27x29]17e0bf97582597b.png[/img]f(x)=0。其中错误命题的个数是( A: 0 B: 1 C: 2 D: 3
- 若f(x)+f(-x)=0, 则[img=95x39]17da608af452d96.jpg[/img]. 若f(x)=f(-x), 则 [img=170x38]17da60541207426.jpg[/img]
- 下列函数中为同一个函数的是() 未知类型：{'options': ['f(x)=x,g(x)=[img=25x39]17e43f7e294a229.png[/img]', ' f(x)=x,g(x)=[img=39x24]17e43f7e31cdea3.jpg[/img]', ' f(x)=x,g(x)=[img=35x25]17e43f7e3c419e9.png[/img]', ' f(x)=|x|,g(x)=[img=35x25]17e43f7e3c419e9.png[/img]'], 'type': 102}
内容
- 0
设f(x)为连续函数，且 [img=217x49]18034a50d8b1b92.png[/img] 则[img=70x25]18034a50e196c62.png[/img] A: 5 B: 4 C: 0 D: -5
- 1
X~N(1,1), 密度函数为[img=37x25]18038fe689205b5.png[/img], 分布函数为F(x), 则（ ） A: [img=198x25]18038fe690a03ee.png[/img] B: [img=101x25]18038fe69af96aa.png[/img] C: [img=67x25]18038fe6a3b8e5b.png[/img][img=118x25]18038fe6ab93d6f.png[/img] D: F(x)=F(-x)
- 2
f(x)=[img=69x48]17e0bf8fcea6d09.png[/img],下列结论正确的是( ) 未知类型：{'options': ['17e0bf8fdaebf96.png=[img=28x28]17e0bf8fe6dbacd.png[/img]f(x)', ' [img=59x28]17e0bf8fdaebf96.png[/img]=2,[img=59x28]17e0bf8ff2fabf2.png[/img]不存在', ' [img=28x28]17e0bf8ffed88dc.png[/img]f(x)=0,[img=59x28]17e0bf8ff2fabf2.png[/img]不存在', ' [img=28x28]17e0bf8ffed88dc.png[/img]f(x)≠[img=28x28]17e0bf8fe6dbacd.png[/img]f(x)'], 'type': 102}
- 3
已知函数f(x)是偶函数,且[img=32x28]17e0bf9077056a0.png[/img]f(x)=a,则下列结论一定正确的是( ) 未知类型：{'options': ['17e0bf90830f17d.pngf(x)=-a', ' [img=32x28]17e0bf90830f17d.png[/img]f(x)=a', ' [img=32x28]17e0bf90830f17d.png[/img]f(x)=|a|', ' [img=32x28]17e0bf9077056a0.png[/img]f(x)=|a|'], 'type': 102}
- 4
可导函数f(x)，对任意的x,y恒有f(x+y)=f(x)f(y)，且f'(0)=1,则f(x)等于 A: [img=60x19]1802fb229b3bc18.png[/img] B: [img=55x46]1802fb22a3b7107.png[/img] C: [img=17x19]1802fb22abf3c5e.png[/img] D: [img=49x23]1802fb22b545827.png[/img]