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"value": "\nProblem 2. Let $n$ three-digit numbers satisfy the following properties:\n\n(1) No number contains the digit 0 .\n\n(2) The sum of the digits of each number is 9 .\n\n(3) The units digits of any two numbers are different.\n\n(4) The tens digits of any two numbers are different.... |
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"value": "\nProblem 2. Let $n$ three-digit numbers satisfy the following properties:\n\n(1) No number contains the digit 0 .\n\n(2) The sum of the digits of each number is 9 .\n\n(3) The units digits of any two numbers are different.\n\n(4) The tens digits of any two numbers are different.... |
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"value": "## Problem 2\n\nLet the circles $k_{1}$ and $k_{2}$ intersect at two distinct points $A$ and $B$, and let $t$ be a common tangent of $k_{1}$ and $k_{2}$, that touches $k_{1}$ and $k_{2}$ at $M$ and $N$, respectively. If $t \\perp A M$ and $M N=2 A M$, evaluate $\\angle N M B$.\n\... |
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"value": "## Problem 2\n\nLet the circles $k_{1}$ and $k_{2}$ intersect at two distinct points $A$ and $B$, and let $t$ be a common tangent of $k_{1}$ and $k_{2}$, that touches $k_{1}$ and $k_{2}$ at $M$ and $N$, respectively. If $t \\perp A M$ and $M N=2 A M$, evaluate $\\angle N M B$.\n\... |
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"value": "## Problem 2\n\nLet the circles $k_{1}$ and $k_{2}$ intersect at two distinct points $A$ and $B$, and let $t$ be a common tangent of $k_{1}$ and $k_{2}$, that touches $k_{1}$ and $k_{2}$ at $M$ and $N$, respectively. If $t \\perp A M$ and $M N=2 A M$, evaluate $\\angle N M B$.\n\... |
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"value": "## Problem 2\n\nLet the circles $k_{1}$ and $k_{2}$ intersect at two distinct points $A$ and $B$, and let $t$ be a common tangent of $k_{1}$ and $k_{2}$, that touches $k_{1}$ and $k_{2}$ at $M$ and $N$, respectively. If $t \\perp A M$ and $M N=2 A M$, evaluate $\\angle N M B$.\n\... |
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"value": "## Problem 2\n\nLet the circles $k_{1}$ and $k_{2}$ intersect at two distinct points $A$ and $B$, and let $t$ be a common tangent of $k_{1}$ and $k_{2}$, that touches $k_{1}$ and $k_{2}$ at $M$ and $N$, respectively. If $t \\perp A M$ and $M N=2 A M$, evaluate $\\angle N M B$.\n\... |
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"value": "## Problem 2\n\nLet the circles $k_{1}$ and $k_{2}$ intersect at two distinct points $A$ and $B$, and let $t$ be a common tangent of $k_{1}$ and $k_{2}$, that touches $k_{1}$ and $k_{2}$ at $M$ and $N$, respectively. If $t \\perp A M$ and $M N=2 A M$, evaluate $\\angle N M B$.\n\... |
[{"from":"user","value":"\nProblem 3. Let $A L$ and $B K$ be angle bisectors in the non-isosceles tr(...TRUNCATED) |
[{"from":"user","value":"\nProblem 3. Let $A L$ and $B K$ be angle bisectors in the non-isosceles tr(...TRUNCATED) |
End of preview. Expand in Data Studio
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