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一棵树有2个4度结点、3个3度结点,其余是树叶,则该树中树叶的个数是______.
A.8 B.9 C.10 D.11
A.
B.8
C.9
D.10
【参考答案】
B设1度结点树叶为x个,由树的握手定理知
2|E|=2(2+3+x-1)=2×4+3×3+x(边数=结点数-1)......
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设F(x):x是火车;G(y):y是汽车;H(x,y):x比y快.命题“某些汽车比所有的火车慢”的符号化公式是______.A.( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 238); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∃y)(G(y)→( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∀x)(F(x)∧H(x,y))) B.( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∀y)(G(y)∧( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 238); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∃x)(F(x)→H(x,y)))C.( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∀x)( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 238); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∃y)(G(y)→(F(x)∧H(x,y))) D.( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 238); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∃y)(G(y)→( style='color: rgb(51, 51, 51); text-transform: none; text-indent: 0px; letter-spacing: normal; font-family: zuoyeFont_mathFont, Microsoft Yahei , 宋体, sans-serif; font-size: 16px; font-style: normal; font-weight: normal; word-spacing: 0px; float: none; display: inline !important; white-space: normal; orphans: 2; widows: 2; background-color: rgb(255, 255, 255); font-variant-ligatures: normal; font-variant-caps: normal; -webkit-text-stroke-width: 0px; text-decoration-style: initial; text-decoration-color: initial;'>∀x)(F(x)→H(x,y)))
A.B.
C.(
D.(
E.(
F.(
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