首先定义选中和非选中状态的背景样式buttonstyle.xml和buttonstayle_checked.xml

buttonstyle.xml

<?xml version="1.0" encoding="UTF-8"?>
<layer-list xmlns:android="http://schemas.android.com/apk/res/android">
<!-- 边框颜色值 --><item>
<shape>
<solid android:color="#435345" />
</shape>
</item>
<!-- 主体背景颜色值 -->
<item android:bottom="3dp">
<shape>
<solid android:color="#ffffff" />
<padding android:bottom="10dp"
android:left="10dp"
android:right="10dp"
android:top="10dp" />
</shape>
</item>
</layer-list>

buttonstayle_checked.xml
<?xml version="1.0" encoding="UTF-8"?>
<layer-list xmlns:android="http://schemas.android.com/apk/res/android">
<!-- 边框颜色值 --><item>
<shape>
<solid android:color="#1E90FF" />
</shape>
</item>
<!-- 主体背景颜色值 -->
<item android:bottom="6dp">
<shape>
<solid android:color="#ffffff" />
<padding android:bottom="10dp"
android:left="10dp"
android:right="10dp"
android:top="10dp" />
</shape>
</item>
</layer-list>

然后是背景选择器
<?xml version="1.0" encoding="utf-8" ?>
<selector xmlns:android="http://schemas.android.com/apk/res/android">

<!--选中时的图片背景 -->
<item android:state_checked="true" android:drawable="@drawable/buttonstyle_select" />
<item android:state_checked="false" android:drawable="@drawable/buttonstyle" />

</selector>

最后是布局文件

<?xml version="1.0" encoding="utf-8"?>
<RelativeLayout xmlns:android="http://schemas.android.com/apk/res/android"
xmlns:tools="http://schemas.android.com/tools"
android:id="@+id/activity_main"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:paddingBottom="@dimen/activity_vertical_margin"
android:paddingLeft="@dimen/activity_horizontal_margin"
android:paddingRight="@dimen/activity_horizontal_margin"
android:paddingTop="@dimen/activity_vertical_margin"
tools:context="com.example.administrator.myapplication.MainActivity">

<RadioGroup
android:layout_width="match_parent"
android:layout_height="wrap_content"
android:orientation="horizontal"
android:layout_alignParentTop="true"
android:layout_alignParentLeft="true"
android:layout_alignParentStart="true">
<RadioButton
android:id="@+id/radiobnt1"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:button="@null"
android:layout_weight="1"
android:gravity="center"
android:text="radio1"
android:background="@drawable/radiao_bg_selector"
android:layout_alignParentTop="true"
android:layout_alignParentLeft="true"
android:layout_alignParentStart="true" />
<RadioButton
android:id="@+id/radiobnt2"
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:button="@null"
android:gravity="center"
android:layout_weight="1"
android:text="radio2"
android:background="@drawable/radiao_bg_selector"
android:layout_alignParentTop="true"
android:layout_alignParentLeft="true"
android:layout_alignParentStart="true" />

</RadioGroup>
</RelativeLayout>

逻辑代码就不写了,看下效果: