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<p>给你一个以 (<code>radius</code>, <code>x_center</code>, <code>y_center</code>) 表示的圆和一个与坐标轴平行的矩形 (<code>x1</code>, <code>y1</code>, <code>x2</code>, <code>y2</code>),其中&nbsp;(<code>x1</code>, <code>y1</code>) 是矩形左下角的坐标,(<code>x2</code>, <code>y2</code>) 是右上角的坐标。</p>
<p>给你一个以 <code>(radius, xCenter, yCenter)</code> 表示的圆和一个与坐标轴平行的矩形 <code>(x1, y1, x2, y2)</code> ,其中 <code>(x1, y1)</code> 是矩形左下角的坐标,<code>(x2, y2)</code> 是右上角的坐标。</p>
<p>如果圆和矩形有重叠的部分,请你返回 True ,否则返回 False&nbsp;</p>
<p>如果圆和矩形有重叠的部分,请你返回 <code>true</code> ,否则返回 <code>false</code>&nbsp;</p>
<p>换句话说,请你检测是否 <strong>存在</strong>&nbsp;(xi, yi) ,它既在圆上也在矩形上(两者都包括点落在边界上的情况)。</p>
<p>换句话说,请你检测是否 <strong>存在</strong> <code>(x<sub>i</sub>, y<sub>i</sub>)</code> ,它既在圆上也在矩形上(两者都包括点落在边界上的情况)。</p>
<p>&nbsp;</p>
<p><strong>示例 1</strong></p>
<p><img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/04/04/sample_4_1728.png" style="height: 167px; width: 258px;"></p>
<pre><strong>输入:</strong>radius = 1, x_center = 0, y_center = 0, x1 = 1, y1 = -1, x2 = 3, y2 = 1
<p><strong class="example">示例 1 </strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2020/02/20/sample_4_1728.png" style="width: 258px; height: 167px;" />
<pre>
<strong>输入:</strong>radius = 1, xCenter = 0, yCenter = 0, x1 = 1, y1 = -1, x2 = 3, y2 = 1
<strong>输出:</strong>true
<strong>解释:</strong>圆和矩形公共点 (1,0)
<strong>解释:</strong>圆和矩形存在公共点 (1,0)
</pre>
<p><strong>示例 2</strong></p>
<p><strong class="example">示例 2 </strong></p>
<p><strong><img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/04/04/sample_2_1728.png" style="height: 135px; width: 150px;"></strong></p>
<pre><strong>输入:</strong>radius = 1, x_center = 0, y_center = 0, x1 = -1, y1 = 0, x2 = 0, y2 = 1
<strong>输出:</strong>true
</pre>
<p><strong>示例 3</strong></p>
<p><strong><img alt="" src="https://assets.leetcode-cn.com/aliyun-lc-upload/uploads/2020/04/04/sample_6_1728.png" style="height: 165px; width: 175px;"></strong></p>
<pre><strong>输入:</strong>radius = 1, x_center = 1, y_center = 1, x1 = -3, y1 = -3, x2 = 3, y2 = 3
<strong>输出:</strong>true
</pre>
<p><strong>示例 4</strong></p>
<pre><strong>输入:</strong>radius = 1, x_center = 1, y_center = 1, x1 = 1, y1 = -3, x2 = 2, y2 = -1
<pre>
<strong>输入:</strong>radius = 1, xCenter = 1, yCenter = 1, x1 = 1, y1 = -3, x2 = 2, y2 = -1
<strong>输出:</strong>false
</pre>
<p><strong class="example">示例 3 </strong></p>
<img alt="" src="https://assets.leetcode.com/uploads/2020/02/20/sample_2_1728.png" style="width: 150px; height: 135px;" />
<pre>
<strong>输入:</strong>radius = 1, xCenter = 0, yCenter = 0, x1 = -1, y1 = 0, x2 = 0, y2 = 1
<strong>输出:</strong>true
</pre>
<p>&nbsp;</p>
<p><strong>提示:</strong></p>
<ul>
<li><code>1 &lt;= radius &lt;= 2000</code></li>
<li><code>-10^4 &lt;= x_center, y_center, x1, y1, x2, y2 &lt;= 10^4</code></li>
<li><code>x1 &lt; x2</code></li>
<li><code>y1 &lt; y2</code></li>
<li><code>-10<sup>4</sup> &lt;= xCenter, yCenter &lt;= 10<sup>4</sup></code></li>
<li><code>-10<sup>4</sup> &lt;= x1 &lt; x2 &lt;= 10<sup>4</sup></code></li>
<li><code>-10<sup>4</sup> &lt;= y1 &lt; y2 &lt;= 10<sup>4</sup></code></li>
</ul>